Question

Calculate the force of gravity that the Earth (mass 6.0 x 1024 kg) and the Moon (mass 7.4 x 1022 kg) exert on each other. The average Earth-Moon distance is 3.8 x 108 m.

Answer 1

Given the that:

Mass of Earth=$6.0 ×10^{24}kg$

Mass of Moon=$7.4 ×10^{22} kg$

The average Earth to Moon distance is = $3.8 × 10^8 m$

Gravitational constant G= $6.67×10^{-11}Nm^2/kg^2$

$F=\frac{Gm_1m_2}{d^2}$

$F= \frac {6.67×10^{-11}Nm^2/kg^2×6.0 ×10^{24}kg×7.4 ×10^{22} kg}{3.8 × 10^8 m}=20.1×10^{19} N$

Therefore the for between Earth and Moon =$20.1×10^{19}N$