Question

In which of the following cases, the force of attraction between two object is halved? a) Distance between the two objects is doubled b) Mass of one object is halved c) Distance between the 2 objects is reduced to √2 times its original value.   In both the cases a and b   In both the cases b and c   In both the cases a and c   In all the cases.​

Answer 1

Answer:

In both a and c

Explanation:

F1 = $\frac{GMm}{s^{2} }$

So if m = m/2

F2 = $\frac{GMm}{2s^{2} }$

2F2 = F1

Similarly if s = $\sqrt{2}$s, then

F3 = $\frac{GMm}{(\sqrt{2} s)^{2} }$

F3 = $\frac{GMm}{2s^{2} }$

2F3 = F1

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