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AP EAMCET202319 May 2023Morning ShiftPhysicsRotational MotionActual

A solid sphere of mass 2 ~kg is rolling without slipping on a horizontal surface with a velocity 5 ~ms ⁻¹ . The rotational kinetic energy of the sphere is

Options

  1. A25 ~J
  2. B12.5 ~J
  3. C10 ~J
  4. D20 ~J

Correct answer

C. 10 ~J

Step-by-step solution

Mass of solid sphere, m=2 ~kg velocity, v=5 ~m / s Rotational kinetic energy is given by aligned & K. E= 1 2 I ^2 & ( Here I= 2 5 ~m r ^2 ; v = r ) & = 1 2 2 5 mr ^2 v ^2 r ^2 & = 1 5 mv ^2= 1 5 2 5^2=10 ~J aligned

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