Question

question 22 of 28
which statement accurately describes the relationship between force and momentum?
a. as the velocity of an object decreases, its mcmentum increases, and it takes more force to change its motion.
b. as the velocity of an object increases, its momentum decreases, and it takes less force to change its motion.
c. as the mass of an object increases, its momentum increases, and it takes more force to change its motion.
d. as the mass of an object increases, its momentum decreases, and it takes less force to change its motion.

Explanation:

Momentum \( p = mv\) (where \(m\) is mass and \(v\) is velocity). Force \(F=\frac{\Delta p}{\Delta t}\) (Newton's second law in terms of momentum).

• For option A: If velocity \(v\) decreases, momentum \(p = mv\) (assuming \(m\) constant) decreases, not increases.
• For option B: If velocity \(v\) increases, momentum \(p = mv\) (assuming \(m\) constant) increases, not decreases.
• For option C: If mass \(m\) increases, momentum \(p = mv\) (assuming \(v\) constant) increases. And since \(F=\frac{\Delta p}{\Delta t}\), more force is needed to change the motion (change in momentum \(\Delta p\)).
• For option D: If mass \(m\) increases, momentum \(p = mv\) (assuming \(v\) constant) increases, not decreases.

Answer:

C. As the mass of an object increases, its momentum increases, and it takes more force to change its motion.