Physics

We are given that the mass ratio of two objects is and their momentum ratio is . We need to find the ratio of their kinetic energies.

 

Recall the formula for kinetic energy and momentum

The kinetic energy of an object is given by:

The momentum of an object is given by:

 

Express the momentum ratio

We are given the momentum ratio:

Substitute the formula for momentum into this ratio:

 

Substitute the mass ratio

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