Question

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Answer 1

Answer:

“The radius of dplanet A is half the radius of 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?”

From the question:

rA=rB2 (1)

gB=gA2 (2)

From the laws of Physics:

gA=GmArA2 (3)

gB=GmBrB2 (4)

Replacing (3) and (4) in (2):

GmBrB2=GmA2rA2

mBrB2=mA2rA2 (5)

Replacing (1) in (5):

mBrB2=mA2(rB2)2

mB=2mA