**00 kg and B of mass 3. After the collision, the blocks stick together. asked by Anonymous on March 17, 2016; Physics. The blocks have equal mass and zero initial velocity. Considering just the cart itself (and not the water inside it), which of the. In both cases the track is frictionless and the blocks are initially at rest. The block of mass m 1 = 5. Mass A is half the mass of mass B such that m A = m B /2. A block of mass m - 34 kg and speed v is behind a block of mass M = 81 kg and speed of 0. The two blocks then collide and stick together as shown in the figure. Find the maximum height that each block rises after the collision. A block (mass = 4. 0-kg mass has a speed of 2. Mass m 1 moves on a horizontal surface having a coefficient of kinetic friction μ k = 0. two blocks are on a frictionless surface and have the same mass m. What is the total kinetic energy of the two blocks after the collision? (Ans: 13 J) 20. below)The force constant ofthe spring is 450 N/rn. 4 J This energy is received by the blocks from the elastic. If each block has an acceleration of 2. Two blocks of mass m 1=2. Assuming that the block B always remains horizontal, then acceleration of B is (A) 6 m/s 2 (B) 2 m/s2 (C) 4 m/s2 (D) None of these A B 12 m/s2 13. Which of the following statements is true?. 0 kg, initially at rest. A light spring is placed in a horizontal position between the blocks. As shown in the diagram, in the back wall of the cart there is a small opening near the bottom of the wall that allows water to stream out. What is the total kinetic energy of the two blocks after the collision? (Ans: 13 J) 20. What total mass is accelerated to the right by (a) F, (b) cord 3 (c) cord 1? (d) Rank the blocks according to their accelerations, greatest first. F,B −m Ba B (16) Setting these two equations equal to each other, m Aa A = P −F F,B −m Ba B (17) There is slip between block B and the ground; therfore, F F,B = µ k,AB(m A +m B)g = 18 lb. A) Masses A and and B are on a frictionless track and given equal forces F� 0 that are constantly applied for the duration of the motion. (Let the positive direction point to the right. The green dot indicates the centre of mass. the block on the curved track B. Mechanics Lecture 11, Slide 18 Flashcard Question A B Two equal-mass balls swing down and hit identical bricks while traveling at identical speeds. Two masses ‗m' and ‗2m' are connected by a massless string which passes over a light frictionless pulley as shown in fig. 0 kg that is. The forces on each are the same in magnitude. If the maximum distance the block slides from the equilibrium position is equal to 20 cm, what is the speed of the block at an instant when it is a distance of 16 cm from the equilibrium position?. 0 kg and its initial velocity v o = 0, use the work-energy theorem to find (d) v 1 the velocity at x = 1. 20/04/2018. Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of the blocks, as shown below. The block then moves along the frictionless, semicircular, vertical tracks of radius R = 1. Compare the magnitudes of the ﬁnal momenta of the two blocks: (a) p A. 0 m/s to the right, and both weigh the same. A race car moving with a constant speed of 60 m/s completes one lap around a circular track in 50 s. 25kg and m2=1. B 2 2 00, where vB is the speed of the center of mass of the ball at the lowest point B of the track. Horse A's initial velocity is 15 m/s. (b) After point B force of friction acts on the ball. On the longer track the block slides upward until it reaches a maximum height H above the ground. Consider a frictionless track as shown in Figure P6. If the temperature of water rose from 20EC to 80EC, the heat of combustion of ethane is. 0 kg (since this analysis is for the 10. The green disk is initially at rest and is struck by the orange disk. 00 kg and m2 = 3. 20/04/2018. a B(m A +m B) = P −µ k,AB (m A +m B)g (18) a B = P −µ k,AB (m A +m B)g m A +m B (19. M2 is attached to a massless spring as shown in figure. 65 kg are each released from rest at a height of y = 5. Two!4Kg!blocks!hang!froma!rope!that!passes!over!2frictionles!pulleys,!as!shown!in!the! figure!here. The block of mass m1 5. Two blocks are on a frictionless surface and have the same mass m. A block of mass m = 5. Initially, block B is moving toward block A, which is at rest. , ends of a light string of length 2a. The ratio to the mass of M, mA/mg, is of the mass o e. Two Blocks in Contact. One track is longer than the other, however. 0 kg , which was initially at rest. The kinetic energy of the block at B is 37 J with the heights of A and B being 12 and 7. After the collision, the blocks stick together. a) what is the total momentum of the. M 5 log E 2 4. 3- Two blocks are free to slide along the frictionless wooden track ABC shown in Figure. asked by Anonymous on March 17, 2016; Physics. frictionless horizontal tabletop (below). 500 and is subject to a constant force F = 20. What is the speed of puck B? a. After 20 seconds, its velocity is 20 m/s. , its length increases by a negligible amount because of the weight of the block). 4 m/s (C) 4. The system shown in Figure P8. There is no friction in the pulley axle, and the cord's weight can. 31 Glider A, traveling at 10 m/s on an air track, collides elastically with glider B traveling at 8. 50 m/s immediately before the collision. The vertical forces balance each other since there is no vertical acceleration. the block on the curved track B. Puck B is initially at rest. A block of mass m is placed on a triangular block of mass M, which in turn is placed on a horizontal surface as shown in figure. After the collision, the blocks have a common speed of 0. At the intersection of 13th Street and University Avenue, a subcompact car with mass 900 kg traveling east on University collides with a pickup truck with mass. 2 m is most nearly a) 0 J b) 1 J c) 2 J d) 4 J Work done by a variable force is equal to the area under the curve of F/d graph The graph forms a triangle 1 2 Abh= ⎡⎤ ⎢⎥⎣⎦ so the work is 1 (. This force is the net force and is equal to m•a where m is equal to 10. If one piece, with mass m 1, ends up with positive velocity ~v 1, then the second piece, with mass m 2, could end up with (a) a positive velocity (Fig. The gliders are of equal mass. 145 kg, I get an acceleration of 1. 20 m/s undergoes an elastic collision with an initially stationary block of mass M. In both cases the track is frictionless and the blocks are initially at rest. Assuming the friction between the block and the surface is negligible, answer the following: a. (a) Find the magnitude of acceleration of each block in m/s2. Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. A race car moving with a constant speed of 60 m/s completes one lap around a circular track in 50 s. Once I pointed out how the blocks must move together, and therefore accelerate together, he got it. Find the separation between the two blocks when they come to rest Take = g = 10 m/s2. Both blocks arrive at the right-hand end with the same speed. Mechanics Lecture 11, Slide 18 Flashcard Question A B Two equal-mass balls swing down and hit identical bricks while traveling at identical speeds. Draw a free body diagram of each block 2. Initially, block B is moving toward block A, which is at rest. (b) Decreasing speed: v f < v 0 a<0 T> F g Q8. (16 pts) A block of mass m 2. Figure 9-30 shows a snapshot of block 1 as it slides along an x axis on a frictionless ﬂoor, before. asked by Anonymous on March 17, 2016; Physics. Draw a free body diagram of each block 2. B) B C) They both have the same chance. The magnitude of the frictional force between the block and the plane is equal to. 00 m above the flat part of the track. 00 m on a frictionless track as shown. com Now, at a distance d = 0. (e) Rank the cords according to their tension. The acceleration a is related to the x-component of the net force acting on mass m 1. 9-25a), (b) a negative velocity (Fig. The kinetic energy of the block at B is 37 J with the heights of A and B being 12 and 7. 00 kg and m2 = 3. Two blocks (A and B) are in contact on a horizontal frictionless surface. The section CD under the spring is frictionless. Two blocks are on a frictionless surface and have the same mass m. asked by Anonymous on March 17, 2016; Physics. A second object with a mass of n'12 is attached to the other end of the string. (b) After point B force of friction acts on the ball. 0 × 10 –2 m thick, measures 3. If they grab each other as they collide, the combined speed of the two players just after the collision would be: (A) 2 m/s (B) 3. If the disk is initially at rest and pivoted about a frictionless axle through the center of the disk, find (a) the angular velocity of the system after the collision and (b) the loss of kinetic energy in the collision. Consider a frictionless track as shown in Figure P6. Which of the following statements is true?. Find the magnitude of the acceleration of m 2. 50 m/s, as shown in the figure. Find the speed with which m must move in order for M to stay at rest for a radius r. Two blocks of masses m1 = 2. The pucks have equal masses m=0. Draw a free body diagram of each block 2. 0 kg are placed on a horizontal frictionless surface. Problem 1 (2. 0 m long with a coefficient of kinetic friction mk 025. Block 2 is initially at rest. Mechanics Lecture 11, Slide 18 Flashcard Question A B Two equal-mass balls swing down and hit identical bricks while traveling at identical speeds. So the tension is equal to the mass of all blocks to the right of that rope times the acceleration. Assume the system to be both Block A and Block B. (a) If P is the magnitude of the contact force between the blocks, draw the free-body diagrams for each block. A mass on a frictionless track, once moving, keeps moving, even without any tension to pull it. The string does not slip on the pulley, whose axis is frictionless. On a frictionless horizontal table, two blocks (A of mass 2. Block 1, of mass m1 = 2. Physics 140 HOMEWORK Chapter 9B Q3. Physics centre of mass 1. Then (for blocks of equal masses) the spring compassion will be maximum if the speeds are equal and opposite. 00 m on a frictionless track as shown. The figure below shows two blocks suspended by a cord over a pulley. The coef of kinetic friction between the two blocks is 0. The vertical forces balance each other since there is no vertical acceleration. 73 kg) is moving to the right at 1. If the maximum distance the block slides from the equilibrium position is equal to 20 cm, what is the speed of the block at an instant when it is a distance of 16 cm from the equilibrium position?. Two blocks are on a frictionless surface and have the same mass m. 0-kg mass has a speed of 2. Image Transcriptionclose. 00 k g are released from rest at equal heights h =5. M 5 log E 2 4. Find the separation between the two blocks when they come to rest Take = g = 10 m/s2. 0 kg are placed on a horizontal frictionless surface. Iniially M 2 is at rest and M 1 is moving toward M 2 with speed v and collides head-on with M 2. Two blocks are in contact on a frictionless table. 8) Two pucks collide on a frictionless air-hockey table. Derive an expression for r in terms of ml, m, and the time T for one revolution. Find the maximum height that each block rises after the collision. Identical blocks are projected up each track with the same initial speed vo. One track is longer than the other, however. 00 kg are connected by a light string that slides over two frictionless pulleys as shown. Each block is displaced the same vertical distance Z. Initially m2 is held 5. A second object with a mass of n'12 is attached to the other end of the string. The pucks have equal masses m=0. The string does not slip on the pulley, whose axis is frictionless. The collision between the blocks is perfectly elastic. When they are released, the blocks = collide=20 and =85. A light spring is attached to the more massive block, and the blocks are pushed together with the spring between them as shown in the figure below. Find the magnitude pi of the total initial momentum of the two-block system. On a frictionless horizontal table, two blocks (A of mass 2. 0 x 10-9N)? A) 21,400 B) 18. Identical blocks are projected up each track with the same initial speed vo. Two blocks of equal mass Mare connected by a rope and are allowed to slide down an incline plane of angle. mass and acceleration B. What!is!the!tension!in!the!horizontalportion!of!the!rope. The two blocks A and B of equal mass are initially in contact when released from rest on the inclined plane. The blocks are pushed together, compressing the spring, and then released from rest. (a) While spring is fully compressed all the KE of M 1 is stored as PE of spring. 30 m above x 0, a second mass m = 0. Two blocks are on a frictionless, level track. The figure below shows two blocks suspended by a cord over a pulley. The final speed of glider B is A) 8. A small block on a frictionless, horizontal surface has a mass of 0. The shear modulus of the material is 2. The mass of A is twice the = mass of=20 B. Image Transcriptionclose. Puck A has an initial velocity of 4. The friction coe cients are small, but are not equal and 1 < 2 as shown below. 52 2 kg 10 m/s 2 kg 16 cm 52 www. Coefficient of friction of friction between blocks and floor is μ = 0. 1) The figure below shows a 0. The kinetic energy of the block at B is 37 J with the heights of A and B being 12 and 7. Using the values of mass 1 = 1. After collision A moves with a speed of 1 m/s in the same direction,. After the collision, the blocks stick together. 00 kg and m2 = 6. 50 kg is fired with an initial speed of v0 = 4. The blocks stick together after the collision. What total mass is accelerated to the right by (a) F, (b) cord 3 (c) cord 1? (d) Rank the blocks according to their accelerations, greatest first. 0 x 10-9N)? A) 21,400 B) 18. A light spring is placed in a horizontal position between the blocks. Two blocks of masses m1 = 2. When they pull on the rope, they each slide toward each other. Which block arrives at the right-hand end with the greater speed? A. It collides with and sticks to an initially stationary block (#2) of mass m2 = 9 m1. 200 m The pulley and surface are frictionless and the system is release from rest. Question: Block 1, of mass m1 = 2. A mass m on a frictionless table is attached to a hanging mass M by a cord through a hole in the table. frictionless, will the spring's maximum compression be greater than, less than, or equal to the value obtained in part. A block of mass M starts from rest and slides down a frictionless semi-circular track from a height H as shown below (image shows a perfect circle as the track and the two objects). From the free-body diagram, we see that friction acts to slow down the translational motion of the center of mass, and at the same time provides a torque which rotates the ball clockwise. 106 m (b) If the track is not frictionless, will the spring's maximum compression be greater than, less than, or equal to the value obtained in part (a)?. F,B −m Ba B (16) Setting these two equations equal to each other, m Aa A = P −F F,B −m Ba B (17) There is slip between block B and the ground; therfore, F F,B = µ k,AB(m A +m B)g = 18 lb. 2 kg starts at rest on a rough inclined plane a height H 9 m above the ground. 9-25a), (b) a negative velocity (Fig. Two!4Kg!blocks!hang!froma!rope!that!passes!over!2frictionles!pulleys,!as!shown!in!the! figure!here. Ball A bounces back, but ball B just stops when it hits the brick. On the longer track the block slides upward until it reaches a maximum height H above the ground. 0 m/s 2 to the right, what is the magnitude F of the applied force?. A block of mass m slides along a frictionless track with speed vm. After collision A moves with a speed of 1 m/s in the same direction,. When they pull on the rope, they each slide toward each other. 00 kg and B of mass 3. Displacement of a particle of mass 2 kg moving in a straight line varies with time as s = (2t3 + 2) m Impulse of the force acting on the particle over a time interval between t = 1 s is: (a) 10 N-s (b) 12 N-s (c) 8 N-s (d) 6 N-sQ2. The masses are initially held with equal lengths of the strings. How do their accelerations compare? 1. The drawing shows two frictionless inclines that begin at ground level (h = 0m) and slope upward at the same angle µ. Block B has a speed v1 immediately after the collision, and then it travels around a circular loop of radius R, where R is much larger than the size of the blocks. Determine: (a) the velocity of the block at point. A horizontal force of magnitude F is applied to the block of mass m1 in the figure below. The final speed of glider B is A) 8. Find the magnitude pi of the total initial momentum of the two-block system. frictionless horizontal tabletop (below). The blocks have equal mass and zero initial velocity. In case B a block of one-half the mass is pushed by the same force F~for 1 second. 250 kg and the speed of the object is 1. Taking the origin of a of a coordinate system at the. The block then moves along the frictionless, semicircular, vertical tracks of radius R = 1. 2-At the instant of collision, how does the net force on block A compare with the net force on block B? Discuss both magnitude and direction. Mass m 1 moves on a horizontal surface having a coefficient of kinetic friction μ k = 0. A horizontal force of magnitude F is applied to the block of mass m1 in the figure below. (c) Diagram (b) represents an inelastic collision, since K tot is less after the collision. The net force is equal to 30. Which block arrives at the right-hand end with the greater speed? A. Since the tension in the leftmost rope is F and the mass of the two blocks is 3m in each case, the acceleration of both systems is the same. The whole system is kept on a frictionless ‘ a ‘ a horizontal surface with the string held tight so that each mass is at a distance a from the center P (as shown in the figure). Consider the portion of the motion of block 1 during which it moves a distance L1, and the portion of the motion of block 2 during which it moves a distance L2. Displacement of a particle of mass 2 kg moving in a straight line varies with time as s = (2t3 + 2) m Impulse of the force acting on the particle over a time interval between t = 1 s is: (a) 10 N-s (b) 12 N-s (c) 8 N-s (d) 6 N-sQ2. An impulse gives a velocity of 14 m/s to the heavier block in the direction of the lighter block. Strings, pulleys, and inclines Consider a block of mass which is suspended from a fixed beam by means of a string, as shown in Fig. The spring is given an initial displacement. Horse A's initial velocity is 15 m/s. Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The forces acting on mass m 2 are schematically shown in Figure 6. A small block of mass m = 0. [Phys] Inelastic Collision: Block 1, of mass m1 = 3. The inclines are frictionless. Use conservation of energy to find the speed of the object 2 when it hits the ground. 0 m/s 2 to the right, what is the magnitude F of the applied force?. 3 Two blocks of mass m1 = 2. (e) Rank the cords according to their tension. The gliders are of equal mass. Find the magnitude of the acceleration of m 2. 30 radians in 91. 125 m (b) If the track is. 50 kg of water. Two blocks 6 kg and 10 kg are con-nected by a string that passes over a massless pulley as shown. 2-At the instant of collision, how does the net force on block A compare with the net force on block B? Discuss both magnitude and direction. M 5 log E 2 4. The section CD under the spring is frictionless. After collision A moves with a speed of 1 m/s in the same direction,. p B (c) p A = p B The force times time is the impulse and equals the change in momentum. Horse B's initial velocity is 5 m/s, and after the same interval of time, its velocity is 10 m/s. This force is the net force and is equal to m•a where m is equal to 10. 00 k g and m 2=4. 0-kg object is the Fcontact. Two blocks of equal mass Mare connected by a rope and are allowed to slide down an incline plane of angle. Two blocks with masses 2. 40 cm and rotational inertia 7. 4/25 A railroad car of mass m, moving at a speed v, collides with a second railroad car of mass M which is at rest. The mass of S was greater than the mass of R. The mass of A is twice the = mass of=20 B. Block B is pressed towards left so that spring gets compressed by. The block then moves along the frictionless, semicircular, vertical tracks of radius R = 1. The distance between the ﬁrst and second mark is D. The system shown in Figure P8. After the collision, the first block moves opposite to its original direction at 0. 00 k g and m 2=4. 46 m/s2 B) 2. Considering just the cart itself (and not the water inside it), which of the. 00 kg are connected by a massless string passing over a massless and frictionless pulley. B 2 2 00, where vB is the speed of the center of mass of the ball at the lowest point B of the track. What total mass is accelerated to the right by (a) F, (b) cord 3 (c) cord 1? (d) Rank the blocks according to their accelerations, greatest first. Two blocks of mass m1 = 5. 00 k g are released from rest at equal heights h =5. asked by Anonymous on March 17, 2016; Physics. Each block is displaced the same vertical distance Z. 2-At the instant of collision, how does the net force on block A compare with the net force on block B? Discuss both magnitude and direction. AP® PHYSICS B 2008 SCORING GUIDELINES Question 2 15 points total Distribution of points a (a) 4 points For a correct application of Newton’s 2nd law for the two-block system 1 point Fm m=+() AB Note: Newton’s 2nd law may be applied to each block separately to produce an equivalent solution. 6 m/s (D) 7. 0 m/s in the positive x direction and a final velocity of 2. 60 m on a frictionless track, as shown in the figure below, and undergo an elastic head-on collision. If each block has an acceleration of 2. The green disk is initially at rest and is struck by the orange disk. B 2 2 00, where vB is the speed of the center of mass of the ball at the lowest point B of the track. 0 × 10 10 N/m 2. This is pretty close to the experimental value (seen above) at 1. 0 m/s E) 12 m/s Ans: B Section: 8–3 Topic: Collisions Type: Numerical. A bullet of mass m moves at a velocity v 0 and collides with a stationary block of mass M and length L. A block of mass m1 = 5. Mass m 1 will accelerate down hill with an acceleration a. Two particles of mass m each are tied at the. Block 1 collides elastically with block 2. A small block of mass 2m initially rests on a track at the bottom of the circular, vertical loop-the-loop shown above, which has a radius r. 0 m/s 2 to the right, what is the magnitude F of the applied force?. In the figure, two 6. The magnitude of the momentum is A. It slides down the plane, across a frictionless horizontal floor, and then around a frictionless loop-the-loop of radius R 2. The blocks undergo an elastic head-on collision. 125 m (b) If the track is. Significance. 00 k g are released from rest at equal heights h =5. The two blocks collide elastically on the horizontal portion of the track. On a frictionless horizontal table, two blocks (A of mass 2. 3- Two blocks are free to slide along the frictionless wooden track ABC shown in Figure. 3, and the surface on which the 8 kg block rests is frictionless. A) Masses A and and B are on a frictionless track and given equal forces F� 0 that are constantly applied for the duration of the motion. (Do this on paper. Two blocks are free to slide along the frictionless, wooden track shown in Figure P9. The figure below shows a train of four blocks being pulled across a frictionless floor by force F. The blocks are pushed together, compressing the spring, and then released from rest. Exam 2 Solutions 1. Problem 1 (2. (a) Determine the two velocities just before the collision. 5 g of ethane was completely burned, all the heat produced was used to heat 1. The masses are initially held with equal lengths of the strings. Then, the mass is set oscillating on a spring with an amplitude of A, the period of oscillation is proportional to (A) g d (B) d g (C) mg d (D) d m2 g 20. M2 is attached to a massless spring as shown in figure. 0 m/s along a horizontal section of frictionless track, as shown in the top portion of Figure P7. 250 kg and the speed of the object is 1. The initial velocities of the. 4kg approach each other along a horizontal, frictionless track. AP1 Momentum Page 1 1. A horizontal force is applied to one block, as shown in Fig. Block 1, of mass m1 = 2. A track consists of a frictionless arc XY, which is a quarter-circle of radius R, and a rough horizontal section YZ. Two blocks of mass m 1 and m 3, connected by a rod of mass m 2, are sitting on a frictionless surface. com Now, at a distance d = 0. When it reaches the lowest point of the track, it collides with a stationary piece of putty also having mass M. Two blocks of equal mass Mare connected by a rope and are allowed to slide down an incline plane of angle. Strings, pulleys, and inclines Consider a block of mass which is suspended from a fixed beam by means of a string, as shown in Fig. 10kg-m/s C. Since the tension in the leftmost rope is F and the mass of the two blocks is 3m in each case, the acceleration of both systems is the same. Initially m2 is held 5. The block then moves along the frictionless, semicircular, vertical tracks of radius R = 1. Displacement of a particle of mass 2 kg moving in a straight line varies with time as s = (2t3 + 2) m Impulse of the force acting on the particle over a time interval between t = 1 s is: (a) 10 N-s (b) 12 N-s (c) 8 N-s (d) 6 N-sQ2. Exam 2 Solutions 1. Two blocks with masses m1 = 3. Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. Consider a box that explodes into two pieces while moving with a constant positive velocity along an x-axis. p B (c) p A = p B The force times time is the impulse and equals the change in momentum. Assuming the friction between the block and the surface is negligible, answer the following: a. 0 kg , which was initially at rest. The two blocks move together to t. (b) Decreasing speed: v f < v 0 a<0 T> F g Q8. Two blocks (A and B) are in contact on a horizontal frictionless surface. I, II, & III Questions 13 and 14 refer to the motion of two blocks along a frictionless level track. 1 and m 2 (m 1 p B (c) p A = p B The force times time is the impulse and equals the change in momentum. Initially, block B is moving toward block A, which is at rest. The two cars lock together and move along the track. Two blocks of masses m1 = 2. A bullet of mass m strikes the block horizontally with initial speed v o and remains embedded in the block as the block and. Two blocks of mass m 1 and m 3, connected by a rod of mass m 2, are sitting on a frictionless surface. If the temperature of water rose from 20EC to 80EC, the heat of combustion of ethane is. The figure below shows two blocks suspended by a cord over a pulley. If the temperature of water rose from 20EC to 80EC, the heat of combustion of ethane is. After 20 seconds, its velocity is 20 m/s. Hence the smaller mass will move to the left with speed of 6. 0 kg, initially at rest. If one piece, with mass m 1, ends up with positive velocity ~v 1, then the second piece, with mass m 2, could end up with (a) a positive velocity (Fig. There's two force problems I couldn't get on my study guide. After contact with the spring ends, the 3. Displacement of a particle of mass 2 kg moving in a straight line varies with time as s = (2t3 + 2) m Impulse of the force acting on the particle over a time interval between t = 1 s is: (a) 10 N-s (b) 12 N-s (c) 8 N-s (d) 6 N-sQ2. Initially m2 is held 5. (a) Find the magnitude of acceleration of each block in m/s2. 25kg and m2=1. A particle of mass m and speed v o collides with and sticks to the edge of a uniform solid disk of mass M and radius R. On the longer track the block slides upward until it reaches a maximum height H above the ground. Indicate the direction with the sign of your answer. Consider a box that explodes into two pieces while moving with a constant positive velocity along an x-axis. The gliders are of equal mass. Which of the free body diagrams shows the horizontal forces acting on the upper block, A?. Ball A bounces back, but ball B just stops when it hits the brick. The surface is frictionless and the blocks collide and couple. 00 kg) are pressed together against an ideal massless spring that stores 75. 31 Glider A, traveling at 10 m/s on an air track, collides elastically with glider B traveling at 8. are the same for each ramp. The surface is frictionless and the blocks collide and couple. 0 m/s along a horizontal section of frictionless track, as shown in the top portion of Figure P7. Taking the origin of a of a coordinate system at the. M 5 log E 2 4. Which ball is more likely to knock the brick over?. If the mass of the object m = 2. Mass m 1 will accelerate down hill with an acceleration a. If each block has an acceleration of 2. The figure below shows two blocks suspended by a cord over a pulley. M2 is attached to a massless spring as shown in figure. , its mass is negligible compared to that of the block) and inextensible ( i. 25 Two balls A and B having masses 1 kg and 2 kg, moving with speeds 21 m/s and 4 m/s respectively in opposite direction, collide head on. B) B C) They both have the same chance. 4 J This energy is received by the blocks from the elastic. Determine: (a) the velocity of the block at point. It slides down the plane, across a frictionless horizontal floor, and then around a frictionless loop-the-loop of radius R 2. Question: Block 1, of mass m1 = 2. Once I pointed out how the blocks must move together, and therefore accelerate together, he got it. 50 kg is fired with an initial speed of v0 = 4. A mass m is attached to a vertical spring stretching it distance d. Find an expression for the minimum value of vm that will allow the second block to circle the loop the loop without falling off if the collision is perfect inelastic. As shown in the diagram, in the back wall of the cart there is a small opening near the bottom of the wall that allows water to stream out. is the action force of block 2 on block 1. the block on the curved track B. is the action force of block 2 on block 1. 00 kg are connected by a light string that slides over two frictionless pulleys as shown. 00 kg and m 2 = 3. 0-kg mass has a speed of 2. 0 kg is released from rest at A. Consider a frictionless track as shown in Figure P6. A block of mass M starts from rest and slides down a frictionless semi-circular track from a height H as shown below (image shows a perfect circle as the track and the two objects). 250 kg and the speed of the object is 1. The two blocks collide elastically on the horizontal portion of the track. 00 m on a frictionless track as shown. Protruding from its front end is the north pole of a strong magnet, which repels the north pole of an identical magnet embedded in the back end of the block of mass m2 = 10. On a frictionless horizontal table, two blocks (A of mass 2. Assume the system to be both Block A and Block B. The blocks stick together after the collision. 00 kg are connected by a massless string passing over a massless and frictionless pulley. Which of the free body diagrams shows the horizontal forces acting on the upper block, A?. 46 m/s2 B) 2. What total mass is accelerated to the right by (a) F, (b) cord 3 (c) cord 1? (d) Rank the blocks according to their accelerations, greatest first. ) (a) Determine the velocity of each block just before the collision. The surface is frictionless and the blocks collide and couple. 5 where E is the seismic wave energy in joules. 0 m above the ground respectively. M 5 log E 2 4. Puck B is initially at rest. Find the maximum height that each block rises after the collision. (a) 90 m (b) 180m (c) 360 m (d) 500 m (= (e) 18,000 m The horizontal motion of the package will have no acceleration, so it has constant velocity, equal to the horizontal component of the initial velocity. 20 kg blocks are connected by a mass-less string over a pulley of radius 2. Two football players with mass 75 kg and 100 kg run directly toward each other with speeds of 6 m/s and 8 m/s respectively. m b v b=(M blk+m b)V V= m b v b (M blk+m b) =1 m/s Then use conservation of mechanical energy to find the maximum height 1 2 M blk V 2=Mgh h= V2 2g =0. A mass m is attached to a vertical spring stretching it distance d. When it is released the block travels along a frictionless, horizontal surface to point B, the bottom ofa vertical circular track ofradius R = 1. (a) If m 1 = 2. 5 where E is the seismic wave energy in joules. 34 m/s to the left. 00 m above the flat part of the track. frictionless horizontal tabletop (below). 50 m/s immediately before the collision. After contact with the spring ends, the 3. Draw a free-body diagram for each block. The blocks undergo an elastic head-on collision. AP® PHYSICS B 2008 SCORING GUIDELINES Question 2 15 points total Distribution of points a (a) 4 points For a correct application of Newton’s 2nd law for the two-block system 1 point Fm m=+() AB Note: Newton’s 2nd law may be applied to each block separately to produce an equivalent solution. Initially m2 is held 5. Then (for blocks of equal masses) the spring compassion will be maximum if the speeds are equal and opposite. 30 radians in 91. Two blocks of mass m1 = 5. The mass of A is twice the = mass of=20 B. 00 m on a frictionless track as shown. The initial velocity is that of the plane, v 0x = 180km=h. The two blocks collide elastically on the horizontal portion of the track. What would have to be the masses (in kg) of two objects of equal mass, separated by 5000 meters, in order for the mutual force of attraction between the two objects to be two nano-newtons (2. Considering just the cart itself (and not the water inside it), which of the. 106 m (b) If the track is not frictionless, will the spring's maximum compression be greater than, less than, or equal to the value obtained in part (a)?. 50 m/s, as shown in the figure. The string does not slip on the pulley, whose axis is frictionless. There's two force problems I couldn't get on my study guide. A block of mass 1. 0 m, (e) v 2 the velocity at x = 2. The coefficient of kinetic friction between the blocks and the surface is 0. The coef of kinetic friction between the two blocks is 0. The acceleration a is related to the x-component of the net force acting on mass m 1. What total mass is accelerated to the right by (a) F, (b) cord 3 (c) cord 1? (d) Rank the blocks according to their accelerations, greatest first. The drawing shows two frictionless inclines that begin at ground level (h = 0m) and slope upward at the same angle µ. mass and acceleration B. B) B C) They both have the same chance. Block 2 is initially at rest. II & III only E. Determine: (a) the velocity of the block at point. The two blocks shown below are attached to a rope and wrapped around a pulley as shown. Two blocks A and B of equal mass m are on a frictionless track, as shown in the figure above. 00 k g are released from rest at equal heights h =5. Two horses are running down the track in a straight line. Initially, block B is moving toward block A, which is at rest. 0 m/s in the positive x direction and a final velocity of 2. Two blocks are free to slide along the frictionless wooden track ABC shown in Figure P9. If one piece, with mass m 1, ends up with positive velocity ~v 1, then the second piece, with mass m 2, could end up with (a) a positive velocity (Fig. 00 kg and m2 = 3. The surface is frictionless and the blocks collide and couple. 3 kg, m 2 = 1. Two blocks M 1 and M 2 having equal mass are free to move on a horizontal frictionless surface. AP1 Test Prep: FRQs 11, 12,13 FRQ #11 Qualitative/ Quantitative Short Response Type (7 points, suggested time 13 minutes) Two blocks A and B of equal mass m are on a frictionless track, as shown in the figure above. The two blocks shown below are attached to a rope and wrapped around a pulley as shown. Two bodies connected by spring on 1D on a frictionless track Download the mdl file. The blocks are let free to move and the cord moves on the pulley without slipping or stretching. Two masses ‗m' and ‗2m' are connected by a massless string which passes over a light frictionless pulley as shown in fig. The initial velocity is that of the plane, v 0x = 180km=h. 0 kg , which was initially at rest. Two blocks of mass m 1=2. The surface is frictionless and the blocks collide and couple. There's two force problems I couldn't get on my study guide. 3 Two blocks of mass m1 = 2. Block B has more mass than block A. 41 kg block sliding from A to B along a frictionless surface. The shear modulus of the material is 2. A square plate is 1. A force is applied to two blocks in contact, as shown. The two blocks A and B of equal mass are initially in contact when released from rest on the inclined plane. Two blocks, A and B, are being pulled to the right along a horizontal surface by a horizontal 100-N pull, as shown in the figure. For rope A, the tension is the acceleration times m. 2 kg starts at rest on a rough inclined plane a height H 9 m above the ground. When they pull on the rope, they each slide toward each other. 6kg, and the mass of block A is 0. The coefficient of kinetic friction between the blocks and the surface is 0. The two blocks shown below are attached to a rope and wrapped around a pulley as shown. The system shown in Figure P8. Block 2 is initially at rest. are the same for each ramp. (a) If m 1 = 2. AP Physics Practice Test: Impulse, Momentum ©2011, Richard White www. The section CD under the spring is frictionless. Two blocks are on a frictionless, level track. Block A (mass 3. Consider the portion of the motion of block 1 during which it moves a distance L1, and the portion of the motion of block 2 during which it moves a distance L2. Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. The green disk is initially at rest and is struck by the orange disk. 0 m, (e) v 2 the velocity at x = 2. Two people of equal mass attempt a tug-of-war with a 24 m rope while standing on frictionless ice. Determine the motion of the centre of mass when: a. 0 kg) sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 100 N/m) which has its other end fixed. The friction coe cients are small, but are not equal and 1 < 2 as shown below. A mass m on a frictionless table is attached to a hanging mass M by a cord through a hole in the table. [Phys] Inelastic Collision: Block 1, of mass m1 = 3. Mechanics Lecture 11, Slide 18 Flashcard Question A B Two equal-mass balls swing down and hit identical bricks while traveling at identical speeds. 1 and m 2 (m 1 p B (c) p A = p B The force times time is the impulse and equals the change in momentum. In case B a block of one-half the mass is pushed by the same force F~for 1 second. asked by Anonymous on March 17, 2016; Physics. The final speed of glider B is A) 8. This is pretty close to the experimental value (seen above) at 1. 0 kg are placed on a horizontal frictionless surface. The initial velocities of the. mass and velocity C. 3 Two blocks of mass m1 = 2. Find the maximum height that each block rises after the collision. Initially, block B is moving toward block A, which is at rest. Find the acceleration of the system and the tension in the connecting rope 3. Find the work done on the object as it moves from (a) x = 0 to x = 1 m, (b) x = 1 m to x = 2 m and (c) x = 2 m to x = 3 m. ) (a) Determine the velocity of each block just before the collision. From the free-body diagram, we see that friction acts to slow down the translational motion of the center of mass, and at the same time provides a torque which rotates the ball clockwise. AP1 Test Prep: FRQs 11, 12,13 FRQ #11 Qualitative/ Quantitative Short Response Type (7 points, suggested time 13 minutes) Two blocks A and B of equal mass m are on a frictionless track, as shown in the figure above. 2-At the instant of collision, how does the net force on block A compare with the net force on block B? Discuss both magnitude and direction. 4kg approach each other along a horizontal, frictionless track. Which ball is more likely to knock the brick over?. Each block is displaced the same vertical distance Z. The coefficients of friction between the inclined plane A and B are μ 1 and μ 2 respectively. 0kg-m/s 11. Block B has more mass than block A. Physics centre of mass 1. A second object with a mass of n'12 is attached to the other end of the string. If the collision were completely inelastic, the blocks would stick together, and two equal-mass blocks would have equal ﬁnal values of K. Compare the magnitudes of the ﬁnal momenta of the two blocks: (a) p A. If the temperature of water rose from 20EC to 80EC, the heat of combustion of ethane is. asked by Anonymous on March 17, 2016; Physics. A block of mass m = 500 g moving on a frictionless track at an initial speed of 3. Which mass will reach the second mark ﬁrst? [Challenge: By how much time will it beat the. Consider a box that explodes into two pieces while moving with a constant positive velocity along an x-axis. (a) Determine the spring's maximum compression if the track is frictionless. Mass A is half the mass of mass B such that m A = m B /2. Before B After i. 00 kg and B of mass 3. When they are released, the blocks = collide=20 and =85. A track consists of a frictionless arc XY, which is a quarter-circle of radius R, and a rough horizontal section YZ. A block of mass m - 34 kg and speed v is behind a block of mass M = 81 kg and speed of 0. 0 kg is released from rest at A. The two cars lock together and move along the track. How do their accelerations compare? 1. A mass on a frictionless track, once moving, keeps moving, even without any tension to pull it. The two blocks move together to t. 0 kg that is initially at rest. Using the values of mass 1 = 1. It collides with and sticks to an initially stationary block (#2) of mass m2 = 9 m1. Two blocks are on a frictionless surface and have the same mass m. 00 kg and m2 = 5. Protruding from its front end is the north pole of a strong magnet, repelling the north pole of an identical magnet embedded in the back end of the block of mass m 2 =. Assuming that the block B always remains horizontal, then acceleration of B is (A) 6 m/s 2 (B) 2 m/s2 (C) 4 m/s2 (D) None of these A B 12 m/s2 13. AP Physics Practice Test: Impulse, Momentum ©2011, Richard White www. Before B After i.**