2014: Problem 2

Topic: Rigid Bodies
Concepts: Inclined plane, Newton’s laws

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Solution:

Since the ball is rolling down the incline, there is a normal force $N$ on the ball perpendicular to the incline and a friction force $f$ on the ball up along the incline. By Newton’s 3rd law, the ball exerts the same forces in the opposite directions on the plane. Thus, the total force $\vec{F}$ that the ball exerts on the plane is

$$\vec{F}=-\vec{f}-\vec{N}$$

so the answer is E.

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