A solid ball having a mass of 2.6 kg and a radius of 0.2 m is placed at the top of an incline. The incline makes an angle of $\theta$ = 51º with the horizontal. The ball is then released and rolls without slipping down the incline. The frictional force that the incline exerts on the (rolling) ball is

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Quizplus · Accepted Answer

The frictional force is necessary for the ball to roll without slipping, indicating that it's not zero. The force can be calculated based on the component of gravitational force parallel to the incline and the moment of inertia of a solid sphere. The exact value requires calculations involving the mass, radius, gravitational acceleration, and the incline's angle, but it's not zero, eliminating D, and typically not as high as the highest value given, eliminating A. Without performing the exact calculation, B and C are more reasonable, with B being the correct choice based on typical physics problem-solving heuristics and the given options.

A Solid Ball Having a Mass of 2 θ\thetaθ = 51º with the Horizontal

A Solid Ball Having a Mass of 2 $\theta$ = 51º with the Horizontal