The mass of Earth is 6×10^24kg and that of moon is 7.4×10^22kg.If the distance between Earth and moon is 3.84×10^5 calculate the force exerted by Earth on moon
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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.
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