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

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Physics

A block of mass M sits at rest at the top of a frictionlesscurved ramp of height h. After being released, the block is movingwith speed 4v when it collides with a block of mass 1.5M at thebottom of the ramp. Immediately following the collision, the largerblock has a speed 2v. The second block is attached to a verticalrope, and swings freely as a pendulum after the collision. Thependulum string has length L.

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

b) Determine the speed and direction of the first block afterthe collision. Determine the maximum angle from the vertical towhich 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 wouldhave slid onto a flat surface, moving a distance D before coming torest. Determine the coefficient of kinetic friction between thesmall block and the flat surface.

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