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Centre of Mass, Linear Momentum, Collision — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsCentre of Mass, Linear Momentum, Collision1 Mark
Question
A uniform sphere is placed on a smooth horizontal surface and a horizontal force F is applied on it at a distance h above the surface. The acceleration of the centre:
  1. Is maximum when h = 0.
  2. Is maximum when h = R.
  3. Is maximum when h = 2R.
  4. Is independent of h.
✓

Answer

  1. Is independent of h.

Explanation:

As the uniform sphere is placed on a smooth surface, the sphere only slips.

The acceleration of the centre of the sphere is given by,

$\frac{\text{Applied force}}{\text{Mass of the sphere}},$ which is independent of height h.

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