Physics

We are given two objects with equal kinetic energies, and their masses are and , where . We are asked to compare their momenta.

Kinetic Energy Formula

The kinetic energy of an object is given by the formula:

where:

is the mass of the object

is the velocity of the object

Since the two objects have equal kinetic energies, we have:

This gives us the equation for both objects:

Solving for Velocities

We can express the velocities of the objects in terms of their masses:

Since , this implies .

Momentum Formula

The momentum of an object is given by the formula:

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