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The radius of earth is about 6400 km and...

The radius of earth is about 6400 km and that of mars is 3200 km. The mass of the earth is about 10 times mass of mars. An object weighs 200 N on the surface of earth. Its weight on the surface of mars will be

A

20 N

B

8 h

C

80 N

D

40 N

Text Solution

Verified by Experts

The correct Answer is:
C
Radius of earth `(R_(e ))=6400" km"`,
Radius of mars `(R_(m))=3200" km"`, Mass of earth `(M_(e ))=10 M_(m)`
and weight of the object on earth `(W_(e ))=200" N"`.
`(W_(m))/(W_(e ))=(mg_(m))/(mg_(e ))=(M_(m))/(M_(e ))xx((R_(e ))/(R_(m)))^(2)=(1)/(10)xx(2)^(2)=(4)/(10)=(2)/(5)`
or`W_(m)=W_(e )xx(2)/(5)=200xx0.4=80" N"`.
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