Question

The mass of the earth is 6×10^24 and that of the moon is 7.4×10^22 . If the distance between the earth and the moon is 3.84×10^5km, calculate the force exerted by the earth on the moon. G=6.7×10^-11 N m^2 kg^-2

Answer 1

Answer:

Explanation:

Therefore the gravitational force of attraction between the earth and the moon is

Answer 2

Answer:

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.

Explanation: