College

A 3.00-kg ball swings rapidly in a complete vertical circle of radius 2.00 m by a light string that is fixed at one end. The ball moves so fast that the string is always taut and perpendicular to the velocity of the ball. As the ball swings from its lowest point to its highest point, choose the correct statement:

A. The work done on it by gravity is -118 J, and the work done on it by the tension in the string is zero.
B. The work done on it by gravity is -118 J, and the work done on it by the tension in the string is 118 J.
C. The work done on it by gravity and the work done on it by the tension in the string are both equal to -118 J.
D. The work done on it by gravity is 118 J, and the work done on it by the tension in the string is -118 J.
E. The work done on it by gravity and the work done on it by the tension in the string are both equal to zero.

Answer :

Answer:

The ball moves from lowest to highest point:

W = M g h = 3 * 9.8 * 4 = 118 J

This is work done "against" gravity so work done by gravity is -118 J

The tension of the string does no work because the tension does not

move thru any distance W = T * x = 0 because the length of the string is fixed.

Final answer:

The work done on the ball by gravity is -118 J and the work done on it by the tension in the string is zero.

Explanation:

The work done on the ball by gravity and the tension in the string can be determined using the work-energy theorem. As the ball swings from its lowest point to its highest point, the work done on it by gravity is -118 J, and the work done on it by the tension in the string is zero.

Learn more about Work done on a swinging ball here:

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