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A block of mass M sits at rest at the top of a frictionless curved ramp...

A block of mass M sits at rest at the top of a frictionless curved ramp of height h. After being released, the block is moving with speed 4v when it collides with a block of mass 1.5M at the bottom of the ramp. Immediately following the collision, the larger block has a speed 2v. The second block is attached to a vertical rope, and swings freely as a pendulum after the collision. The pendulum string has length L.

a) In terms of the other given variables, determine an expression for the height h.

b) Determine the speed and direction of the first block after the collision. Determine the maximum angle from the vertical to which the pendulum will rise after the collision.

c) Determine whether the collision was elastic or inelastic. Justify your answer!

d) If the small block had not hit the larger block, it would have slid onto a flat surface, moving a distance D before coming to rest. Determine the coefficient of kinetic friction between the small block and the flat surface.

Science   Advanced-Physics   
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