Question

What would the force of the Earth on the moon be when the moon is 2.0D from the Earth?

Answer 1

Answer:

Force, $F=7.3\times 10^{36}\ N$

Explanation:

We need to find the force of the Earth on the moon be when the moon is 2.0D from the Earth.

The force that act between Earth and the Moon is gravitational force. It is given by :

$F=\dfrac{Gm_1m_2}{r^2}$

We have,

$m_1=\text{mass of Earth}=5.972 \times 10^{24}\ kg$

$m_2=\text{mass of Moon}=7.34\times 10^{22}\ kg$

So,

$F=\dfrac{6.67\times 10^{-11}\times 5.972 \times 10^{24}\times 7.34\times 10^{22}}{(2)^2}\\\\F=7.3\times 10^{36}\ N$

So, the force of the Earth on the Moon is $7.3\times 10^{36}\ N$.