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A block of mass 2 kg slides on an inclined plane which makes an angle of 30 ° with the horizontal. The coefficient of friction between the block and the surface is 3 2 . The force along the plane that needs to be applied to the block so that it moves up without any acceleration is ( take g = 10 m s - 2 )

Options

  1. A10   N
  2. B30   N
  3. C20   N
  4. D25   N

Correct answer

D. 25   N

Step-by-step solution

For acceleration to be zero, the net force should be zero. F = mgsinθ + μmgcosθ ⇒ F = 2 × 10 × 1 2 + 3 2 × 2 × 10 × 3 2 ⇒ F = 25   N

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