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For an object in gravitational field, the gravitational potential is the same at two points A and B , but the gravitational field is not the same at these two points. Which one of the following statements is correct?

Options

  1. APositive work is done by gravity in moving the object from point A to point B .
  2. BNegative work is done by gravity in moving the object from point A to point B .
  3. CGravity must be non-conservative in such a region.
  4. DNo work is done by gravity in moving the object from point A to point B .

Correct answer

D. No work is done by gravity in moving the object from point A to point B .

Step-by-step solution

The work done by the gravitational force on an object of mass m in moving it from point A to point B is given by W = - U = -m(V_B - V_A) = m(V_A - V_B) , where V_A and V_B are the gravitational potentials at points A and B respectively. It is given that the gravitational potential is the same at points A and B , which means V_A = V_B . Substituting this into the work equation, we get W = m(V_A - V_A) = 0 . The difference in the gravitational field at the two points does not affect the total work done between these

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