A child swings a ball of mass 0.200 kg on a string of length 0.900 m. The ball moves at constant speed in a horizontal circle of diameter 1.20 m as...

A child swings a ball of mass 0.200 kg on a string of length 0.900 m. The ball moves at constant speed in a horizontal circle of diameter 1.20 m as shown in the accompanying diagram.

a) Draw a free body diagram of the ball.

b) Calculate the magnitude of the tension force in the string.

c) Calculate the magnitude of the centripetal acceleration of the ball.

d) Draw the direction of the centripetal acceleration on your free body diagram.

e) Why doesn't the tension force in the string do any work as the ball moves along its circular path?