An arrow fired from a bow attains a maximum height of $5 m$ from the level it is released. If the mass of the arrow is $500 g r a m s$ , work done by the bow on arrow is greater than which of the following? (Assume, $g = 10 m / s^{2}$ )

10 J

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20 J

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30 J

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35 J

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Solution

The correct options are:
A. 10 J
B. 20 J
Given:
mass of bow $m = 500 g = 0.5 k g$ ,
acceleration due to gravity $g = 10 m s^{- 2}$ ,
maximum height $h = 5 m$ .
The work done by the bow on arrow is equal to the maximum gravitational potential energy stored in it, which is equal to $m \times g \times h$ .
Therefore,

$W = m \times g \times h = \frac{500}{1000} \times 10 \times 5 = 25 J$ .

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