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AP EAMCET2001PhysicsGravitation

Mass M is divided into two parts x m and (1-x) m . For a given separation the value of x for which the gravitational attraction between the two pieces becomes maximum is

Options

  1. A1 2
  2. B3 5
  3. C1
  4. D2

Correct answer

A. 1 2

Step-by-step solution

Force of gravitation F m₁ m₂ aligned & F=k m₁ m₂ & F=k(x m)(1-x) m aligned For F to be maximum d F d x =0 aligned d d x [k(x m)(1-x) m] & =0 m^2-2 x m^2 & =0 x & = 1 2 aligned

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