A bullet of mass `10 gm` is fired horizontally with a velocity `1000 ms^(-1)` from a riffle situated at a height `50 m` above the ground. If the bullet reached the ground with a velocity `500 ms^(-1)`, the work done against air resistance in the trajectory of the bullet is (in joule) `(g = 10 ms^(-2))`.

Options

A. 5005
B. 3755
C. 3750
D. `17.5`

Answer

B

Explanation

By work energy theorem
`W = (mgh + (1)/(2) m u^(2)) - (1)/(2) mv^(2)`.