Work Energy Power

JEE Main level, numerical answer, medium

107 of 183

Question 107 of 183

Two solids AA and BB of mass 1kg1kg and 2kg2kg respectively are moving with equal linear momentum. The ratio of their kinetic energies (K.E.)A:(K.E.)B{\left(K.E.\right)}_{A}:{\left(K.E.\right)}_{B} will be A1,\dfrac{A}{1}, so the value of AA will be _________.

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Answer: 2

Kinetic energy K=P22m,(PA=PB)K=\dfrac{{P}^{2}}{2m},\left({P}_{A}={P}_{B}\right)
K∝1mK\propto \dfrac{1}{m}
KAKB=mBmA\dfrac{{K}_{A}}{{K}_{B}}=\dfrac{{m}_{B}}{{m}_{A}}
=21=\dfrac{2}{1}

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