Question

Determine the force of gravitational attraction between the Earth and the moon. Their masses are 5.98 x 1024 kg and 7.26 x 1022 kg, respectively. The average distance separating the Earth and the moon is 3.83 x 108 m.

Answer 1

Answer:

$F =1.974 \times {10}^{ 20} N$

Explanation:

The formula for the force of attraction is given by

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

where,

F= Force

G= universal gravitational constant

$m_1 and \: m_2$

are the masses of the two bodies.

r= the distance between the two bodies.

Let the mass of the Earth=$m_1$ and that of the moon= $m_2$.

From the question,

$m_1= 5.98\times {10}^{24} kg$

$m_2= 7.26 \times {10}^{22} kg$,

$r= 3.83 \times10^8 m$

We substitute these values into the equation,Assuming,

$G = 6.67 \times {10}^{ - 11} N m^2 kg^{-2}$

This implies that,

$F = \frac{6.67 \times {10}^{ - 11 } \times 5.98 \times {10}^{24} \times 7.26 \times {10}^{22}}{ ({3.83 \times 10}^{8})^2}$

$F = 1.974 \times {10}^{20} N$