QJEEM22Ph8989: JEE Main 2022 Physics - Class 11 JEEM22Ph8989 Solution: What percentage of kinetic energy of a moving particle is…

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QJEEM22Ph8989: JEE Main 2022 Physics - Class 11 JEEM22Ph8989 Solution: What percentage of kinetic energy of a moving particle is…

What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stationary particle of 5 times its mass?

(Assume the collision to be head-on elastic collision)

Multiple Choice Options

A 50.00%
B 66.60%
C 55.60%
D 33.30%

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Accepted Answer

For a head on elastic collision

$v_{2} = \frac{m u_{1}}{m + 5 m} + \frac{m u_{1}}{m + 5 m}$

$= \frac{2 u_{1}}{6}$ or $\frac{u_{1}}{3}$

Initial kinetic energy of first mass $= \frac{1}{2} m u_{1}^{2}$

Final kinetic energy of second mass

$= \frac{1}{2} \times 5 m {(\frac{u_{1}}{3})}^{2}$

$= \frac{5}{9} (\frac{1}{2} m u_{1}^{2})$

$\Rightarrow$ kinetic energy transferred = 55% of initial kinetic energy of first colliding mass

QJEEM22Ph8989: JEE Main 2022 Physics - Class 11 JEEM22Ph8989 Solution: What percentage of kinetic energy of a moving particle is…

Multiple Choice Options

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