compare the gravitational forces exerted by the sun and the moon on the earth. which exerts a greater force and by how many times?
Answers
Answered by
27
Well, Obviously it will be the sun because mass of the moon is negligible compared to the sun. So, the Gravitational force exerted by the sun on the Earth is great than the moon on the Earth.
As F is directly proportional to the Mass and inversely proportional to the distance. M(sun)>> M(moon)
Mass of the earth, M = 6 x 1024kg
Mass of the sun, Ms = 2 x 1030kg
Mass of the moon, Mm= 7.3 x 1022kg
Distance of Earth from the sun, rs= 1.5x 10^11m
Distance of Earth from the moon, rm= 3.84 x 10^8 m
Thus the sun exerts force, about 180 times the force exerted by the moon on the earth.
As F is directly proportional to the Mass and inversely proportional to the distance. M(sun)>> M(moon)
Mass of the earth, M = 6 x 1024kg
Mass of the sun, Ms = 2 x 1030kg
Mass of the moon, Mm= 7.3 x 1022kg
Distance of Earth from the sun, rs= 1.5x 10^11m
Distance of Earth from the moon, rm= 3.84 x 10^8 m
Thus the sun exerts force, about 180 times the force exerted by the moon on the earth.
Answered by
2
Answer:
Sol. If mass of sun is Ms
and mass of earth is Me
and distance between the sun and earth is rse,
then force exerted by the sun on earth is
Fs
= 2
se
s e
(r )
GM M ...(1)
Similarly, if mass of moon is Mm, mass of
earth is Me, the distance between moon and
earth is rme, then force exerted by moon on
the earth is
Fm = 2
me
m e
(r )
GM M ...(2)
Dividing equation (1) by equation (2), we get
m
s
F
F
= 2
se
s e
(r )
GM M
×
m e
2
me
GM M
r
=
m
s
M
M
× 2
se
2
me
(r )
(r )
= 22
31
6.3 10
4 10
×
2
12
8
1.3 10
4.5 10
= 76.07
The force exerted by the sun on earth is
about 76 times the force exerted by the moon
on earth.
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