Question

A particle moves along the X-axis from `x=0 to x=5m` under the influence of a force given by `F=(7-2x+3x^(2)).` Find the work done in the process.
A. 70
B. 270
C. 35
D. 135

Answer 1

Correct Answer - D
`W=int_(x1)^(x2)Fdx=int_(0)^(5)(7-2x+3x^2)dx`
`=|7x-x^2+x^3|_0^5`
`=7(5)-(5)^2(5)^3=35-25+125`
`=135J`