An athlete swings a 4.30 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.790 m at an angular speed of 0.590 rev/s.

(a) What is the tangential speed of the ball?
m/s

(b) What is its centripetal acceleration?
m/s2

(c) If the maximum tension the rope can withstand before breaking is 81 N, what is the maximum tangential speed the ball can have?
m/s

1 answer

A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 24.0 m/s at an angle of 45.0° to the horizontal.