Find the gravitational force exerted between two objects A and \( B \), of mass \( 10 \mathrm{g} \) and \( 20 \mathrm{g} \) respectively, separated by a distance of \( 10 \mathrm{cm} \).
Given: two objects A and \( B \), of mass \( 10 \mathrm{g} \) and \( 20 \mathrm{g} \) respectively, separated by a distance of \( 10 \mathrm{cm} \)
To find: the gravitational force exerted between two objects
Solution:
The gravitational force between two bodies is given by:
$\frac{Gm_{1}m_{2}}{ r^2}$, where G is gravitational constant.
Given, $m1 = 10g = 0.01kg, m2 = 20g = 0.02kg$ and $r = 10cm = 0.1 m$, $G = 6.67 \times 10^{-11}Nm^2 /kg^2$
Gravitational force =$ \frac{G(0.01)( 0.02)}{ (10^{-1})^2}$
=> $F = G \times10^{-4} \times 2 \times10^2$
=> $F = 2 \times 10^{-2} \times G = 13.34 \times 10^{-13} N$.
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