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Work Energy Theorem Application

A boy throws ...

Question

A boy throws a ball of mass 0.5 kg upwards with an initial speed of 14 m/s. The ball reaches a maximum height of 8m. The amount of energy dissipated by air drag acting on the ball during the ascent is

A

4.9 J

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B

9.8 J

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C

0 J

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D

13.8 J

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Solution

The correct option is C 9.8 J
Initial Energy of ball
$E_{i} = \frac{1}{2} m v_{i}^{2} = 49 J$
Potential energy gain by boll at 8m
$E_{f} = m g h = 39.24 J$
The amount of energy dissipated by air drag
$E_{d} = E_{i} - E_{f} = 9.8 J$

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