.Calculate the gravitational force between earth and moon . The mass of earth is 6 x 10^24 kg and that of moon is 7.4 x 10^22 kg and the distance between them is 3.84 x 10^5 km.
Answers
Given: The mass of the earth is 6 x 10²⁴ kg
The mass of the moon is 7.4 x 10²² kg
The distance between the earth and moon is 3.84 x 10⁵ km.
To find: The gravitational force between earth and the moon
Solution:
The gravitational force between the earth and the moon is defined as the attractive force with which the earth pulls the moon towards itself, and is calculated by the equation -
F = G×m₁×m₂/r²
Where m₁ is the mass of the earth, and m₂ is the mass of the moon, and r is the distance between the earth and the moon.
Where the value of G ( Gravitational constant) = 6.67 × 10⁻¹¹ Nm²/kg
F = 6.67 × 10⁻¹¹ × 6 x 10²⁴ × 7.4 x 10²² / (3.84 x 10⁵)²
= 20.08 N
Therefore, the gravitational force between the earth and the moon is 20.08N