Calculate the force of gravitation between the earth and sun given that the mass of the earth is (6)(10)^24 kg and of the sun is (2)(10)^30 kg. The average distance between two=(1.5)(10)^11 m. (G=6.67(10)^-11 Nm^2/kg^2)
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Question:
Find the gravitational force between the
Sun and the Earth.
Given Mass of the Sun = 1.99x1030 kg
Mass of the Earth = 5.98x1024 kg
The average distance between the Earth
and the Sun = 1.5x1011 m.
Answer:
We can use Newton’s law of universal gravitation.
Which is F = Gm1m2/r^2
Where the Force (F) will be in Newtons.
G is the “Universal Gravitational Constant”. G = 6.67 × 10^-11 N m^2 kg^-2
M1 is the first mass, the Sun. Mass of the Sun = 2 x 10^30 kg
M2 is the second mass, the Earth. Mass of the Earth = 6 x 10^24 kg
DR is the distance between the two objects. Distance from the Earth to the Sun = 1.5 x 10^11 metres
F = Gm1m2/r^2
F = G x 2 x 10^30 x 6 x 10^24/ [1.5 x 10^11] ^2 = 6.7 x 10^11 N
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