Physics, asked by suvishbhosle, 1 year ago

The radius of a Planet A is half the radius of planet B. If the mass of A is Ma, what must be the mass of B so that the value of g on b is half that of its value on A??

Answers

Answered by jadhavscienceclasses
33
Ra = 1/2 Rb

Ma = mass of planet A
gb=1/2 ga
ga= GMa/Ra^2…....(1)
gb=GMb/Rb^2.......(2)
dividing equation 1 by 2
ga/gb= GMa/Ra^2÷GMb/Rb^2
2ga/ga=GMa/Ra^2×Rb^2/GMb
2=4Ma/Rb^2 ×Rb^2/Mb
2=4 Ma/Mb
2Mb= 4Ma
Mb = 2Ma
Mass of the planet B = Twice the mass of the planet A.

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