# Impulse and Momentum

1. Nov 7, 2006

### rmarkatos

Conceptual Question

If two objects have the same momentum do they necessarily have the same kinetic energy? Give your reason.

I would say no basically from just looking at formulas.

P=mv for momentum

K.E.= 1/2mv^2 for kinetic energy

2. Nov 7, 2006

Edit: look at this example. Let $$\vec{p}_{1} = m \vec{v}_{1}$$, and $$\vec{p}_{2} = m \vec{v}_{2}$$, where $$\vec{v}_{1} = 3 \vec{i}$$, $$\vec{v}_{2} = 3 \vec{j}$$. The momentums are not the same (the magnitudes are, but the directions are not), and the kinetic energies are the same.