Question

The mass of the earth is
6 × 1024 kg and that of the moon is
7.4 × 1022 kg. If the distance between
the earth and the moon is 3.84×105 km,
calculate the force exerted by the earth
on the moon. G = 6.7 × 10–11 N m2 kg-2.

Answer 1

Answer:

Hello Dear.

Here is the answer---

Given Conditions ⇒

Mass of the Earth(m₁) = 6 × 10²⁴ kg.

Mass of the Moon(m₂) = 7.4 × 10²² kg.

Distance between the Earth and the Moon(d) = 3.84 × 10⁵ km.

 = 3.84 × 10⁸ m.

Gravitational Constant(G) = 6.7 × 10⁻¹¹ Nm²/kg².

Using the Newton's law of Gravitation,

 F = G × m₁×  m₂ × /d².

F is the Force of Gravitation between the Earth and the Moon.

Substituting the Given Values in the Formula,

∴ F = (6.7 × 10⁻¹¹ × 6 × 10²⁴ × 7.4 × 10²²) ÷ (3.84 × 10⁸)²

⇒ F = (6.7 × 6 × 7.4 × 10¹⁹) ÷ (14.7456)

⇒ F = 20.1741 × 10¹⁹ N.

⇒ F ≈ 20.2 × 10¹⁹ N.

Thus, the Gravitational Force of Attraction between the Earth and the Sun is 20.2 × 10¹⁹ N.

Hope it helps.

Answer 2

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Correct answer:-

The force exerted by the earth on the Moon is 2.01×10²o N.

Høpë it helps you ✨

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