The change in an object’s momentum is equal to

a. the product of the mass of the object and the time interval.
b. the time interval divided by the net external force.
c. the product of the force applied to the object and the time interval.
d. the net external force divided by the time interval.

C. the product of the force applied to the object and the time interval.

Explanation:

Newton's Second law of motion: The rate of change of momentum is directly proportional to the applied force and takes place in the direction in which the force acts. Newton's second law can be represented mathematically as

F ∝ ΔM/t Equation 1

Where F = applied force, ΔM = change in momentum, t = time.

Ft ∝ ΔM

Ft = kΔM Equation 2

Where k = constant of the proportionality. If we take a unit change in momentum ΔM = 1 m/s, a unit force F = 1 N and a unit time t = 1 s. when k = 1.

Then,

Ft = ΔM Equation 3

From equation 3 above,

Change in momentum of an object = impulse of the object

Impulse: This is the product of force applied to the object and the time interval.

Thus the right option is C. the product of the force applied to the object and the time interval.