Question

A particle moves along the x-axis from $x=x_1$ to $x=x_2$ under the influence of a force given by F = 2x . Find work done in the process.

Answer 1

$F=2x$
$W=F\cdot dy$
$=\underset{x}{\overset{x_2}{\int }}2xdx$
$={\frac{2x^2}{2}|}_{x_1}^{x_2}$
$W=x_2^2-x_1^2$