Question

A particle moves in a straight line with retardation proportional to its displacement . its loss of kinetic energy for any displacement x is proportional to [AIEEE 2004]
(a) x² (b) e^x
(c) x (d) lnx ​

Answer 1

Answer:option b

a=−kx⇒dtdv=−kx

Also dtdx=v or dt=dvdx

∴dxvdv=−kx⇒v1∫v2vdv=−0∫xkxdx

(v22−v12)=−2kx2⇒21m(v22−v12)=21m[2−kx2]

∴ΔK∝x2

Explanation:

if u like this mark as brainliest answer