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A research satellite of mass 200 kg circ...

A research satellite of mass `200 kg` circles the earth in an orbit of average radius `3 R//2`, where `R` is the radius of the earth. Assuming the gravitational pull on the mass of `1 kg` on the earth's surface to be `10 N`, the pull on the satellite will be

A

890 N

B

889 N

C

885 N

D

892 N

Text Solution

Verified by Experts

The correct Answer is:
B
(b) Force between earth and mass of 1kg is
`F=(GM_(E)xx1)/(R_(E)^(2))=(GM_(E))/(R_(E)^(2))` …… (i)
where `M_(E)` is the mass of the earth and `R_(E)` is the radius of the earth respectively.
Force between earth and satellite is
`F'=(GM_(E)xx200)/(((3)/(2)R_(E))^(2))` ....(ii)
Divide (ii) by (i), we get `(F')/(F)=(800)/(9)`
`F'=(800F)/(9)=(800)/(9)xx10 N` (`:.` F=10 N (Given))
`=(8000)/(9) N =889 N`
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