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Question

A mass m is suspended form a sensitive spring balance kept in a satellite. The reading of the balance is W1 when the satellite is in an orbit of radius R and is W2 when it is in an orbit of radius 2R. Then,

A
W1>W2
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B
W1<W2
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C
W1=W2
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D
cannot be predicted
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Solution

The correct option is C W1=W2
For a body revolving around the earth at any orbital radius, the gravitational force towards earth is countered by centrifugal force as shown in figure.
i.e. Fg=Fv
So, for a body hanging in the satellite, W1+Fv=FgW1=0
Similarly, W2=0. Thus W1=W2.
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