The work done by a force `F = - 5x^(4) hat(i) N` in displacing a dody from, x = 2 m to x = - 2 m is

Options

A. 6 J
B. 8 J
C. 64 J
D. 0 J

Answer

C

Explanation

Given, force on the body , `F = - 5x^(4) hat(i) N`
Body is displacing from x = 2m to x = - 2m .
Hence, the work done by a force in displacing a body
`W = underset(x = 2)overset(x = - 2)intF . dx or W = underset(x = 2m)overset(x = - 2)int (-5 x^(4)) dt = (-5) [(x^(5))/(5)]_(2)^(-2)`
`rArr = (-1) [(-2)^(5) -(2) ^(5) rArr W = 64 J] `