Question

An arrow fired from a bow attains a maximum height of 5m from the level it is released. If the mass of the arrow is 500 grams, work done by the bow on arrow is greater than which of the following values? (Select all that apply ; Assume,
(g = $10m{s}^{-1}$)

• A. 10 J
• B. 20 J
• C. 30 J
• D. 35 J

Answer 1

Answer: (A), (B)

The correct options are
A

10 J

B

20 J

Work done by the bow on arrow would be equal to the maximum gravitational potential energy stored in it, which would be equal to $m\times g\times h$,

where, $m$ is the mass of the arrow $=500g=\frac{500}{1000}=0.5kg$

$h$ is the height attained by the arrow $=5m$

$\Rightarrow$ Work done $=m\times g\times h=0.5\times 10\times 5=25J$

Therefore, work done is $25J$ which is greater than $10J$ and $20J$.