Question

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

• A. $444.5\times {10}^{-10}$ N
• B. $3.335\times {10}^{-9}$ N
• C. $6.67\times {10}^{-10}$ N
• D. $2.27\times {10}^{-11}$ N

Answer 1

The correct option is B

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

Given, mass of first body, $m_1=50kg$ and mass of second body, $m_2=100kg$
Distance between the two masses is, $r=10m$.
According to Universal law of gravitation, force of attraction between two bodies is
$F=\frac{G{m}_1{m}_2}{r^2}$
where, $G$ is the gravitational constant and $G=6.67\times {10}^{-11}N{m}^{2}k{g}^{-2}$
$\therefore$ $F=\frac{6.67\times {10}^{-11}\times 50\times 100}{{10}^2}$
$\Rightarrow$ $F=33.35\times {10}^{-10}$ N
$\Rightarrow$ $F=3.335\times {10}^{-9}$ N