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If a planet existed whose mass was twice...

If a planet existed whose mass was twice that of Earth and whose radius 3 times greater, how much will a 1kg mass weigh on the planet?

A

25 N

B

2.17 N

C

1.1 N

D

5 N

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `M_(p)=2 M_(e ) and R_(p)= 3R_(e )`
`m=1 kg, W_(p)=`?
As `g_(e )=(GM_(e ))/(R_(e )^(2)) and g_(p)=(GM_(p))/(R_(p)^(2))`
`(g_(p))/(g_(e )) = (M_(p))/(R_(p)^(2)) xx (R_(e )^(2))/(M_(e ))`
or `g_(p)=g_(e ) xx (M_(p))/(M_(e )) xx ((R_(e ))/(R_(p)))^(2)`
or `g_(p)=9.8 xx 2 xx ((1)/(3))^(2) = 2.17 m//s^(2)`
`W_(p)=mg_(p)=1 xx 2.17 =2.17N`
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