A steel ball of mass 0.760 kg is fastened to a cord that is 92.0 cm long and fix

Question

A steel ball of mass 0.760 kg is fastened to a cord that is 92.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal, as shown in the figure. At the bottom of its path, the ball strikes a 4.90 kg steel block initially at rest on a frictionless surface. The collision is elastic. Find (a) the speed of the ball and (b) the speed of the block, both just after the collision.

Thankl you

A steel ball of mass 0.760 kg is fastened to a cord that is 92.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal, as shown in the figure. At the bottom of its path, the ball strikes a 4.90 kg steel block initially at rest on a frictionless surface. The collision is elastic. Find (a) the speed of the ball and (b) the speed of the block, both just after the collision. Thankl you

Explanation / Answer

Note that the speed of the ball before collision is

v = sqrt(2 g L) = 4.246 m/s

Thus, using the conservation of momentum and energy, we have:

v_ballf = 3.106 m/s    [ANSWER, PART A]

v_blockf = 1.140    [ANSWER, PART B]

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