physics

A large swinging ball is used to drive a horizontal iron spike into a vertical wall. The centre of the ball falls through a vertical height of 1.6m before striking the spike in the position shown.

(there is this drawing of a wall and a pendulum is apparently hanged on the ceiling, and there is this wall that has a nail attached to it, the left side ball of the pendulum is at height 1.6m and the second ball the right hand side one is in touch with the nail in the wall (spike mass 0.80kg) and has mass 3.5kg)

The mass of the ball is 3.5kg and the mass of the spike is 0.80kg. Immediately after striking the spike, the ball and spike move together. Show that the

(i) speed of the ball on striking the spike is 5.6 m s–1. [1]
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(ii) energy dissipated as a result of the collision is about 10 J. [4]
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As a result of the ball striking the spike, the spike is driven a distance 7.3 × 10–2 m
into the wall. Calculate, assuming it to be constant, the friction force F between the
spike and wall.

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1. 960 j

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