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Q.

Potential energy vs. position graph of a particle in a particular system is given and here PE is U = ax2. There is a non-conservative force also acting on the particle in such a way that the loss of mechanical energy due to its work is equal to four times of its distance travelled. Initially, the particle is at x = 10 m, has kinetic energy 36 J and moves towards origin. Find the kinetic energy (in J) of the particle when it reaches origin the second time.

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answer is 32.

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Detailed Solution

Applying work energy theorem 100+36=x02+410+x0⇒x0=8Again apply W.E. theorem 64−32=ΔKE, and KE=32J
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