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}$

=> $F = G  \times10^{-4} \times 2 \times10^2$

=> $F = 2 \times 10^{-2} \times G =  13.34 \times 10^{-13} N$.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

28 Views

Kickstart Your Career

Get certified by completing the course

Get Started