Question

The masses of the earth and moon are 6 x 1024 kg and 7.4x1022 kg, respectively. The distance between them is 3.84 x 105 km. Calculate the gravitational force of attraction between the two?

Answer 1

(m₁) = 6 × 10²⁴ kg. (m₂) = 7.4 × 10²² kg. (d) = 3.84 × 10⁵ km

Gravitational Constant(G) = 6.7 × 10⁻¹¹ si

 F = G × m₁×  m₂ × /d².

(m₁) = 6 × 10²⁴ kg.(m₂) = 7.4 × 10²² kg.Distance between the Earth and the Moon(d) = 3.84 × 10⁵ kmGravitational Constant(G) = 6.7 × 10⁻¹¹ si F = G × m₁×  m₂ × /d².∴ F = (6.7 × 10⁻¹¹ × 6 × 10²⁴ × 7.4 × 10²²) ÷(384000000²)

....ans

Answer 2

Answer:

20.2 × 10¹⁹ N

Explanation:

Given :

Mass of earth = 6 × 10²⁴ kg

Mass of moon = 7.4 × 10²² kg

Distance between them = 3.84 × 10⁵ km = 3.84  × 10⁸ m

We have value of G = 6.7 × 10⁻¹¹ N m² kg⁻²

We have to find force :

We have :

F = G m₁ m₂ / r²

F = ( 6.7 × 10⁻¹¹ ) ( 6 × 10²⁴ ) ( 7.4 × 10²² ) / (  3.84 × 10⁸ )² N

F = 20.2 × 10¹⁹ N

Hence force exerted by the earth on the moon is 20.2 × 10¹⁹ N.