Question

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The masses of earth and moon are 6.×10^24and7.4×10^22 kg respectively.the distance between them is 3.84×10^5 km calculate gravitational force of attraction between the two ?use G=6.7×10^-11 Nm^2kg^-2

Answer 1

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.