A force `vecF=(3xy-5z)hatj+4zhatk` is applied on a particle. The work done by the force when the particle moves from point `(0, 0, 0)` to point `(2, 4, 0)` as shown in figure.

Options

A. (a) `280/5units`
B. (b) `140/5units`
C. (c) `232/5units`
D. (d) `192/5units`

Answer

D

Explanation

The z-component of the force and the x-component of displacement are ineffective here.
`dW=F_ydy=3xy.dy` `(:'z=0)`
`=6x^4dx (:'y=x^2)`
Integrating between `x=0` and `x=2` gives the result.