Question

The mass of the earth is 6x 1024 kg and
that of the moon is 7.4 x 1022 kg. If the distance between
the earth and the moon is 3.84 x 10 km, calculate the
force exerted by the earth on the moon.
G=6.7x10-11 Nm 2
2 ks​

Answer 1

Answer:

Explanation:

Given that,

Mass of the Earth m  1

=6×10^24 Kg

Mass of the Moon m^2

=7.4×10^22 kg

Distance between the Earth and the Moon d=3.84×10^5

km=3.84×10^8 m

Gravitational Constant G=6.7×10^-11

Nm^2/kg^2

 Now, by using Newton’s law of gravitation

 F=  r^2

Gm  

1

m^ 2

F= (3.84×10^8 )^2  6.7×10 −11  ×6×10  24 ×7.4×10  22

F=  14.8225×10  16  297.48×10  35

F=20.069×10 19

F=20.1×10  19 N

Hence, the gravitational force of attraction is 20.1×10  19 N