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Calculate the change in kimetic energy
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In the given problem, centripetal force will be equal to
F = kx
⇒ kx=mv2r⇒v=kxrm−−−−√
⇒ T=2πrv=2πmrkx−−−√⇒T∝rx−−√
∴ T'=Tr'xrx'−−−−√=T3a×a2a×2a−−−−−−−√=(3–√2)T
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