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.

Answer 1

Here, `F=7-2x+3x^(2).`
From `x=0 to x=5m, ` work done by the force. `W=int_(0)^(5)Fdx=int_(0)^(5)(7-2x+3x^(2))dx`
`=[7x-(2x^(2))/(2)+(3x^(3))/(3)]_(0)^(5)`
`=7(5-0)-(5^(2)-0^(2))+(5^(3)-0)`
`=135J`