Question

1. The Moon's mass is 7.34 x 1022 kg, and it is 3.8 x 105 km away from Earth. Earth's

mass is 5.97 x 1024 kg. Calculate the gravitational force of attraction between Earth and the Moon.​

Answer 1

2.03 x 10²⁴N

Step-by-step explanation:

Given parameters:

Mass of moon = 7.34 x 10²²kg

Mass of the earth = 5.97 x 10²⁴kg

Distance = 3.8 x 10⁵km

Unknown:

Gravitational force of attraction = ?

Solution:

To find the gravitational force of attraction between the masses, we use the expression below;

F =
`(Gm_(1) m_(2) )/(r^(2) )`

G is the universal gravitation constant

m is the mass

1 and 2 represents moon and earth

r is the distance

F =
`(6.67 x 10^(-11) x 7.34 x 10^(22) x 5.97 x 10^(24) )/((3.8 x 10^(5))^(2) )`

F =
`(2.92 x 10^(35) )/(1.44 x 10^(11) )` = 2.03 x 10²⁴N