Question

The earth revolves around the sun under the influence of gravitational force. If the mass of earth is 6 x 10²⁴ kg, the mass of the sun is 2 x 10³⁰ kg, and the distance between their centres is 1.5 x 10¹¹ m, then calculate the gravitational force between them. What will be the acceleration of the earth under the effect of gravitational force ?
(G = 6.67 x 10⁻¹¹ Nm²/kg⁻²)

Answer 1

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Answer 2

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