Question

The mass of the Sun is $2\times {10}^{30}\text{kg}$ and that of the Earth is $6\times {10}^{24}\text{kg}.$ If the average distance between the Sun and Earth is $1.5\times {10}^{11}\text{m}$. Calculate the average force exerted by the Sun on the Earth.

• A. $3.6\times {10}^{20}\text{N}$
• B. $3.6\times {10}^{18}\text{N}$
• C. $3.6\times {10}^{22}\text{N}$
• D. $3.6\times {10}^{24}\text{N}$

Answer 1

The correct option is C $3.6\times {10}^{22}\text{N}$

The average force exerted by the Sun on the Earth,

$F=\frac{GMm}{r^2}$

$\Rightarrow F=\frac{6.67\times {10}^{-11}\times 2\times {10}^{30}\times 6\times {10}^{24}}{(1.5\times {10}^{11}{)}^2}$

$\Rightarrow F\approx 3.6\times {10}^{22}\text{N}$

Hence, option $\left(C\right)$ is the correct answer.