Imagine there are two asteroids in space. Asteroid 1 has a mass of 5 x 10¹¹ kg, and Asteroid 2 has a mass of 2.5 x 10¹¹ kg. Initially, Asteroid 1 has some arbitrary velocity, and Asteroid 2 is not moving. The two asteroids collide and bounce off of each other without losing any mass. Using your equation for elastic collisions from Lab 7, what is the ratio of Asteroid 2's final velocity to Asteroid 1's final velocity, v_2f/v_1f? (Hint: Your answer should be the same regardless of Asteroid 1's initial velocity.)

Group of answer choices

2

0.25

4

0.5