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A 75-kg soccer player jumps vertically upwards and heads the 0.45-kg ball as it is descending...

A 75-kg soccer player jumps vertically upwards and heads the 0.45-kg ball as it is descending vertically with a speed of 22 m/s. (Note that the force of gravity may be ignored during the brief collision time.)

(a) If the player was moving upward with a speed of 4.0 m/s just before impact, what will be the speed of the ball immediately after the collision if the ball rebounds vertically upwards and the collision is elastic?

(b) If the ball is in contact with the player's head for 21 ms, what is the average acceleration of the ball?

2.

An athlete swings a 5.20-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.730 m at an angular speed of 0.410 rev/s.

(a) What is the tangential speed of the ball?

(b) What is its centripetal acceleration?

(c) If the maximum tension the rope can withstand before breaking is 123 N, what is the maximum tangential speed the ball can have?

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