Question

Calculate the force between two masses of $50kg$ and $100kg$ separated by a distance of $10m.$

• A. $333.5\times {10}^{-10}N$
• B. $3.335\times {10}^{-9}N$
• C. $6.67\times {10}^{-10}N$
• D. $6.67\times {10}^{-11}N$

Answer 1

The correct option is B

$3.335\times {10}^{-9}N$

According to Newton's law of gravitation, force of attraction between two bodies is

$F=\frac{G{m}_1{m}_2}{r^2}$

Here, $m_1=100kg,m_2=50kg$

$r=10m,G=6.67\times {10}^{-11}\frac{N{m}^2}{k{g}^2}$

$\Rightarrow F=\frac{6.67\times {10}^{-11}\times 100\times 50}{{10}^2}$

$=33.35\times {10}^{-10}N$
$=3.335\times {10}^{-9}N$