Question

Two spherical balls of mass 10 kg each are placed with their centers 10 cm apart. Find the gravitational force of attraction between them. Take $G=6.67\times {10}^{-11}N{m}^{2}k{g}^{-2}$

• A. $6.67\times {10}^{-9}$ N
• B. $6.67\times {10}^{-8}$ N
• C. $6.67\times {10}^{-7}$ N
• D. $6.67\times {10}^{-6}$ N

Answer 1

The correct option is C

$6.67\times {10}^{-7}$ N

Given, the mass of one ball $m_1=10kg$, the mass of another ball $m_2=10kg$, distance between them R = 10 cm $=\frac{10}{100}=0.1m$ and $G=6.67\times {10}^{-11}N{m}^{2}k{g}^{-2}$.

We know, the gravitational force of attraction (F) $=\frac{G{m}_1{m}_2}{R^2}$

So, F $=\frac{6.67\times {10}^{-11}\times 10\times 10}{{0.1}^2}$

On solving we get F $=6.67\times {10}^{-7}$ N