Moderate

A block of mass 'm' is slipping down a rough inclined plane with constant speed. The force on the block by the plane is:

Correct answer: D. Depends upon angle of inclination

  • A. mg
  • B. mg/2
  • C. Depends upon coefficient of friction
  • D. Depends upon angle of inclination

Explanation

This option is correct. The total force on the block by the plane (which is a combination of the normal force and frictional force) depends on both the angle of inclination and the coefficient of friction. The normal force is N=mgcos⁡θ, and the frictional force is f=μmgcos⁡θ. Both of these forces depend on the angle of the incline θ\thetaθ. So, the total force exerted by the plane is influenced by the angle of inclination.

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