1. Tardigrade
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  4. Potential energy vs. position graph of a particle in particular system is given and here P.E. is U=a x2. There is a non-conservative force also acting on a particle in such a manner that mechanical energy loss due to its work is equal to four times of its distance travelled. Initially particle is at x=10, has kinetic energy 36 J and moving towards origin. The kinetic energy of particle (in m ) when it reaches origin second time is .

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Q. Potential energy vs. position graph of a particle in particular system is given and here P.E. is $U=a x^{2}$. There is a non-conservative force also acting on a particle in such a manner that mechanical energy loss due to its work is equal to four times of its distance travelled. Initially particle is at $x=10$, has kinetic energy $36\, J$ and moving towards origin. The kinetic energy of particle (in $m$ ) when it reaches origin second time is ______.Physics Question Image

Work, Energy and Power

Solution:

Applying work energy theorem
$100+36=x_{0}^{2}+4\left(10+x_{0}\right) $
$\Rightarrow x_{0}=8$
Again apply work energy theorem,
$64-32=\Delta KE$ and $32 \,J = KE$