Question

The momentum of an object depends on which two quantities?

1) velocity and weight
2) mass and kinetic energy
3) velocity and kinetic energy
4) mass and velocity

Answer 1

The momentum of an object depends on mass and velocity. For two objects with the same momentum, the one with the smaller mass has the greater kinetic energy. If two objects have the same kinetic energy, the one with the smaller mass has the greater momentum.

Step-by-step explanation:

The momentum of an object depends on two quantities: mass and velocity. Therefore, the correct answer is 4) mass and velocity. Momentum is defined as the product of an object's mass (m) and its velocity (v), and it's a vector quantity which means it has both magnitude and direction. The formula for momentum (p) is expressed as p = mv.

Addressing the additional questions:

1. An object with a small mass that has the same momentum as an object with a large mass must have a higher velocity to compensate for the smaller mass. Because kinetic energy is proportional to the square of the velocity (K = (1/2)mv²), the smaller mass would have the larger kinetic energy if both objects have the same momentum.
2. On the other hand, if an object with a small mass has the same kinetic energy as an object with a large mass, the small mass must have a larger velocity since kinetic energy is directly related to the square of the velocity. Since momentum is directly proportional to both mass and velocity (p = mv), the smaller mass would have to have a much higher velocity to maintain the same kinetic energy, and thus would have the larger momentum.
3. If an object's mass is constant, then its momentum is proportional to its velocity. The relevant answer here is a. Its velocity.