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A solid sphere of radius R and mass M is rolled by a force F acting at the top of the sphere as shown in the figure. The sphere starts from rest and rolls without slipping, then

Options

  1. Awork done by force F when the center moves a distance S is 2 F S
  2. Bwork done by force F when the center moves a distance S is 3 F S
  3. Cwork done by force F when the center moves a distance S is F S
  4. Dwork done by force F when the center moves a distance S is 4 F S

Correct answer

A. work done by force F when the center moves a distance S is 2 F S

Step-by-step solution

When the centre moves a distance S , the topmost point displaces by 2 S . The work done is by the force is W = 2 F S

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