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# A body is acted upon by a force which is proportional of the distance covered. If distance covered be denoted by x,then work done by the force will be proportional to?

Ritu Bisht
66 Points
4 years ago
since force$\alpha$ $f\alphax$is proportional to x
i.e. ma$f\alphax\alpha$=kx where k is any constant
mvdv/dx=kx
vdv=k’xdx where k’=k/m
on integrating we have
v2/2= k’x2/2
v=k’x
work done = change in kinetic energy
i.e. proportional to x2