The masses of the earth and moonare 6 x 1024 kg and 7.4x1022 kg,respec

1.	The masses of the earth and moonare 6 x 1024 kg and 7.4x1022 kg,respectively. The distance betweenthem is 3.84 x 105 km. Calculate thegravitational force of attractionbetween the two?Use G=6.7 x 10-11 N m² kg-2
Answer» Answer: 20.2 × 10¹⁹ N. Explanation: 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 Moon is 20.2 × 10¹⁹ N.

The masses of the earth and moonare 6 x 1024 kg and 7.4x1022 kg,respectively. The distance betweenthem is 3.84 x 105 km. Calculate thegravitational force of attractionbetween the two?Use G=6.7 x 10-11 N m² kg-2

Answer»

Answer:

20.2 × 10¹⁹ N.

Explanation:

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 Moon is 20.2 × 10¹⁹ N.

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