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Work, Energy And Power

Question
CBSEENPH11026278

The potential energy of a body is given by U = A - Bx2 (where x is the displacement ) The magnitude of force acting on the particle is

  • constant

  • proportional to x

  • proportional to x2

  • inversely proportional to x

Solution

B.

proportional to x

The potential energy is given by 

U = A - B x2

x - displacement

      F = - dUdv

          = -ddxA - Bx2

        = 2 Bx

⇒    F ∝ x