When comparing the momentum of two moving objects, which of the following is correct?
a. the object with the higher velocity will have less momentum if the masses are
equal.
b. the more massive object will have less momentum if its velocity is greater.
c. the less massive object will have less momentum if the velocities are the same.
d. the more massive object will have less momentum if the velocities are the same.

c. The less massive object will have less momentum if the velocities are the same.  

Explanation:

p = mv

If the velocities are the same, p ∝ m, so the less massive object will have less momentum.

a. is wrong. If the masses are equal, p ∝ v, so the object with the higher velocity will have the greater momentum.

b. is wrong. If an object has both more mass and a greater velocity, it will have the greater momentum.

d. is wrong. If the velocities are the same, the more massive object will have more momentum.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.