PhysicsLAB AP Free Response Question
2006 Form B - B2

A small block of mass M is released from rest at the top of the curved frictionless ramp shown above. The block slides down the ramp and is moving with a speed 3.5vo when it collides with a larger block of mass 1.5M at rest at the bottom of the incline. The larger block moves to the right at a speed 2vo immediately after the collision. Express your answers to the following questions in terms of the given quantities and fundamental constants.
 (a) Determine the height h of the ramp from which the small block was released.

 (b) Determine the speed of the small block after the collision.

 (c) The larger block slides a distance D before coming to rest. Determine the value of the coefficient of kinetic friction µ between the larger block and the surface on which it slides.

 (d) Indicate whether the collision between the two blocks is elastic or inelastic. Justify your answer.

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