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? 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.

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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.
Transcribed Image Text: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.
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