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Force on a 1 kg mass on earth of radius ...

Force on a 1 kg mass on earth of radius R is 10 N. Then the force on a satellite revolving around the earth in the mean orbital radius `3R//2` will be (mass of satellite is 100 kg):

A

`4.44xx10^(2)N`

B

`500 N`

C

`3.33xx10^(2)N`

D

`6.66xx10^(2)N`

Text Solution

Verified by Experts

The correct Answer is:
A
`F=(GMm)/(R^(2)) rArr 10=(GM)/(R^(2))`
When radius of satellite `r=(3)/(2)R`. Then
`F.=(GMm.)/(r^(2))=(GMxx100)/(((3)/(2)R)^(2))=(GM)/(R^(2)).(100)/(9)xx4=10xx(400)/(9)`
`=4.4xx10^(2)N`.
Thus correct choice is (a).
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