Question

Does a larger net force always produce a larger change in kinetic energy than a smaller net force? Explain. Yes. Kinetic energy is directly proportional to the force applied. Yes. A larger net force will result in a larger change in velocity, and thus a larger change in kinetic energy. No. Work depends on the force and on the displacement over which it acts. No. A larger net force always produces a smaller change in kinetic energy.

Answer 1

Answer:

Yes.

Explanation:

According to Newton's second law, acceleration of an object is directly proportional to the net force acting on the object.

Here mass of the object in both the cases is the same.

So, acceleration is greater in the case of larger net forces. Further, larger acceleration means larger velocity.

Now, Kinetic energy = $\frac{1}{2}mv^2$

so, the object with larger velocity will have greater kinetic energy.

So, the difference in kinetic energy for the larger force will larger.

Therefore, larger net force produces a larger change in kinetic energy than a smaller net force.