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.
Answers
Answered by
16
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.
Answered by
13
Correct answer:-
The force exerted by the earth on the Moon is 2.01×10²o N.
Høpë it helps you ✨
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