Blocks A (mass 2.00 kg) and B (mass 6.00 kg) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 2.00 m/s. The blocks are equipped with ideal spring bumpers, as in Example 8.10 (Section 8.4). The collision is head-on, so all motion before and after the collision is along a straight line, (a) Find the maximum energy stored in the spring bumpers and the velocity of each block at that time. (b) Find the velocity of each block after they have moved apart.
Blocks A (mass 2.00 kg) and B (mass 6.00 kg) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 2.00 m/s. The blocks are equipped with ideal spring bumpers, as in Example 8.10 (Section 8.4). The collision is head-on, so all motion before and after the collision is along a straight line, (a) Find the maximum energy stored in the spring bumpers and the velocity of each block at that time. (b) Find the velocity of each block after they have moved apart.
Blocks A (mass 2.00 kg) and B (mass 6.00 kg) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 2.00 m/s. The blocks are equipped with ideal spring bumpers, as in Example 8.10 (Section 8.4). The collision is head-on, so all motion before and after the collision is along a straight line, (a) Find the maximum energy stored in the spring bumpers and the velocity of each block at that time. (b) Find the velocity of each block after they have moved apart.
A block m starts at the bottom of a ramp of length L and angle 0 at rest. A block with
mass 2m collides inelastically with the block m. The two blocks slide without friction
up the incline. Assuming a smooth transition at the bottom of the ramp, what is the
final height of the center of mass of the two blocks?
m
2m
(a) Does conservation of momentum hold during the collision? If so, express
conservation of momentum mathematically.
(b) Does conservation of kinetic energy hold during the collision? If so, express
conservation of kinetic energy mathematically.
(c) Solve for the final height of the blocks.
A cue ball of mass m1 = 0.31 kg is shot at another billiard ball, with mass m2 = 0.505 kg, which is at rest. The cue ball has an initial speed of v = 6.5 m/s in the positive direction. Assume that the collision is elastic and exactly head-on.
Write an expression for the horizontal component of the billiard ball's velocity, v2f, after the collision, in terms of the other variables of the problem.
Write an expression for the horizontal component of the cue ball's velocity, v1f, after the collision.
What is the horizontal component of the cue ball's final velocity, in meters per second?
A cue ball of mass m1 = 0.305 kg is shot at another billiard ball, with mass m2 = 0.595 kg, which is at rest. The cue ball has an initial speed of v = 7.5 m/s in the positive direction. Assume that the collision is elastic and exactly head-on.
Write an expression for the horizontal component of the billiard ball's velocity, v2f, after the collision, in terms of the other variables of the problem.
What is this velocity, in meters per second?
Write an expression for the horizontal component of the cue ball's velocity, v1f, after the collision.
What is the horizontal component of the cue ball's final velocity, in meters per second?
Chapter 8 Solutions
University Physics with Modern Physics (14th Edition)
Sears And Zemansky's University Physics With Modern Physics
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