Answer to Question #277624 in Physics for Kristine

Question

What speed would a 2,000-𝑘𝑔 sport utility vehicle have to attain in order to have 𝑖) the same momentum? 𝑖𝑖) the same kinetic energy?

Answer 1

Suppose that the momentum is $p$ and the kinetic energy is $E$ . So,

$p=mv\to v=p/m=p/2000$ .

$E=mv^2/2\to v=\sqrt{2E/m}=\sqrt{2E/2000}=\sqrt{E/1000}$ .