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Question

A dense sphere of mass M is placed at the centre of a circle of radius R. Find the work done, when a particle of mass m is brought from A to B along a circle as shown in the figure.
143568.jpg
  1. zero
  2. GMmR
  3. 2GMmR
  4. GMmR

A
zero
B
GMmR
C
2GMmR
D
GMmR
Solution
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At every point on the arc AB, the direction of displacement and gravitational force are at right angle to each other.
Hence work done is zero.

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