Kinetic energy: Collaboration party special

Classical Mechanics Level 1

Two bodies A A and B B have an equal momentum. But the mass of A A is less than the mass of B B .

Which of the two will have more kinetic energy?

This problem is posted in connection to the upcoming collaboration party hosted by me! Interested people may come forward (just ping me on slack).
A B Both have equal kinetic energy Data is inadequate

Sravanth C. by Sravanth C. , 21, India

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2 solutions

Vu Vincent
Nov 9, 2018

K E = p 2 2 m KE = \frac{p^2}{2m}

m a < m b ⇒ K E a > K E b m_a \lt m_b \Rightarrow KE_a \gt KE_b

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Prince Loomba
Aug 27, 2016

We know mass of A is less, this means velocity of A is greater than B. Since mv is constant, KE is proportional to velocity, which is greater for A, or KE of A is more...

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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