Question 324: Gravitation

Question

If two identical spherical bodies of same material and dimensions are kept in contact, the gravitational force between them is proportional to $$\mathrm{R}^{\mathrm{X}}$$, where $$\mathrm{x}$$ is non zero integer [Given : $$\mathrm{R}$$ is radius of each spherical body]

Accepted Answer

$$\begin{aligned}
F & =\frac{G 	imes m 	imes m}{(2 R)^2}=\frac{G 	imes\left(\frac{4}{3} \pi R^3 hoight)^2}{4 R^2} \
& =\frac{4}{9} \pi^2 ho^2 R^4 \
	herefore \quad F & \propto R^4
\end{aligned}$$

Answer

$$-$$4

Answer

4

Answer

2

Answer

$$-$$2

Gravitation

If two identical spherical bodies of same material and dimensions are kept in contact, the gravitational force between them is proportional to $\mathrm{R}^{\mathrm{X}}, where \mathrm{x} is non zero integer [Given : \mathrm{R}$ is radius of each spherical body]

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