Question

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

Answer 1

Answer:

$g= \frac{GM}{R^{2} } \\ M= \frac{gR^{2} }{G} \\Here, \frac{g_{A} }{g_{B} } =\frac{1}{2} and \frac{R_{B} }{R_{A} } =2 ​\\ \frac{M_{B} }{M_{A} } =\frac{g_{B} }{g_{A} } (\frac{R_{B} }{R_{A} } )^{2} \\​ \frac{M_{B} }{M_{A} } =\frac{1}{2} (2)^{2} ​\\⟹ M_{B} = 2M_{A}$

Explanation:

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