Answer to Question #242898 in Physics for rshiii

Question

4. 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

Assume the momentum is p, the energy is E. Then

$$v=\frac pm=\frac p{2000},\\\space\\ v=\sqrt{\frac{2E}{m}}=\sqrt{\frac{E}{1000}}.$$

Plug in the values of p and E and get the speed.