the radius of planet A is half the radius of planet B.if the mass of A is MA,what must be mass of B so that value of g on B is half that of its value on A?
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2Ra=Rb
2gb=ga
Mb=?
ga=GMa/Ra^2
gb=GMb/Rb^2
ga/ab=GMa/Ra^2 X GMb/Rb^2
so,
2gb/gb = Ma/Ra^2X2(Ra^2)/Mb
so,
2=Ma/Ra^2X4Ra^2/Mb
so,
1/2 = Ma X1/Mb
so,Mb= 2Ma
(I've added pic. of final answer )
HOPE IT HELPS!!!!!
plz mark as brainliest if it helped u.....
2gb=ga
Mb=?
ga=GMa/Ra^2
gb=GMb/Rb^2
ga/ab=GMa/Ra^2 X GMb/Rb^2
so,
2gb/gb = Ma/Ra^2X2(Ra^2)/Mb
so,
2=Ma/Ra^2X4Ra^2/Mb
so,
1/2 = Ma X1/Mb
so,Mb= 2Ma
(I've added pic. of final answer )
HOPE IT HELPS!!!!!
plz mark as brainliest if it helped u.....
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