Question

The mass of the earth is 6 x 1024 kg. The distance between the earth and the Sun is 1.5x 1011 m. If the gravitational force between the two is 3.5 x 1022 N, what is the mass of the Sun?
Use G = 6.7 x 10-11 N m² kg ​

Answer 1

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Let the mass of the sun be M kg.

Given conditions ⇒

Mass of the Earth (m) = 6 × 10²⁴ kg.

Distance between the Earth and the Sun(r) = 1.5 × 10¹¹ m.

Force of Attraction between the sun and the Earth(F) = 3.5 × 10²² N.

Constant of the Gravitation(G) = 6.67 × 10⁻¹¹ Nm² kg⁻².

Using the Formula,

F = G m M/r²

∴ M = Fr²/G m

⇒ M = 3.5 × 10²² ×  (1.5 × 10¹¹)²/6.67 × 10⁻¹¹ × 6 × 10²⁴

⇒ M = 0.196 × 10³¹

∴ M = 1.96 × 10³⁰

or M ≈ 2 × 10³⁰ kg.

Hence, the mass of the sun is 2 × 10³⁰ kg.

Hope it helps.

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