# Kinetic energy and momentum

## Homework Statement

A car (of constant mass) doubles its kinetic energy while driving down a hill sloped at 45º. The factor by which its momentum changes is answer is 1.4?

Doc Al
Mentor
The factor by which its momentum changes is answer is 1.4?
Yes. The factor is √2 ≈ 1.41

Yes. The factor is √2 ≈ 1.41
Would u get how u got that?

1/2mv^2 = P right?

Doc Al
Mentor
$${KE}_1 = 1/2 m v^2_1$$
$${KE}_2 = 2 {KE}_1$$
Find v2 in terms of v1.