Jonas throws a ball up into the air. On its trip upward, the ball's velocity goes from 9.1 m/s to 0 m/s. On its trip downward, the ball's velocity goes from 0 m/s to -9.1 m/s. Did gravity do any work on the ball during the trip upward? Did gravity do any work on the trip downward? Justify your answer.

1) Yes, the work done by gravity during the trip upward is -41.405·m J

2) Yes, the work done by gravity on the ball during the trip downward = 41.405·m J

Explanation:

The given parameters are;

The initial velocity of the ball on the way up = 9.1 m/s

The final velocity of the ball on the way up = 0 m/s

The initial velocity of the ball on its trip downward = 0 m/s

The final velocity of the ball on its trip downward = 9.1 m/s

1) The work done by gravity on the trip upward = The change in kinetic energy of the ball

The change in kinetic energy of the ball = 1/2 × m × 9.1² = -41.405·m J, given that the initial kinetic energy is 41.405·m J and the final kinetic energy is  J

Where;

m = The mass of the ball

Therefore, the work done by gravity during the trip upward = -41.405·m J

2) Similarly gravity does work on the ball during the trip downward = 41.405·m J.

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