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Question

A body is suspended from a spring balance kept in a satellite.The reading of the balance is W1 when the satellite goes in an orbit of radius R and is W2 when it goes in an orbit of radius 2R.Why is W1=W2

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Solution

  • In either cases of different radii of R and 2R, the satellite behaves like a freely falling body.
  • So, the acceleration in either cases is equal to acceleration due to gravity, which is equal to 'g'
  • The reading of the spring balance is given by the expression W = m g
  • Hence, the acceleration due to gravity remains same for both and the reading of the spring balance remains same in both cases.

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