Question

the mass of the earth is 6into10raised24kg and that of the moon is 7.4into 10raised 22kg if the distance between Earth and the moon be 3.84into 10raised 5km calculate the Force exerted by the earth on the moon
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Answer 1

Given :

• Mass of Earth, M = 6 × 10²⁴ kg
• Mass of Moon, m = 7.4 × 10²² kg
• Distance between Earth and Moon, d = 3.84 × 10⁵ km = 3.84 × 10⁸ m

To find :

• Force exerted by Earth on the Moon, F = ?

Formula required :

• Formula to calculate Gravitation force (F) between two bodies of masses M and m , where d is the distance between the bodies

F = G M m / d²

[ where G is universal gravitation constant ]

Solution :

Using the formula to calculate Gravitational force

and taking G = 6.67 x 10⁻¹¹  m³ kg⁻¹ s⁻²

→ F = G M m / d²

→ F = (6.67 × 10⁻¹¹) (6 × 10²⁴) (7.4 × 10²²) / (3.84 × 10⁸)²

→ F = (296.148 × 10³⁵) / (14.7456 × 10¹⁶)

→ F = 20.08 × 10¹⁹ N

therefore,

• Force exerted by Earth on the Moon is 20.08 × 10¹⁹ Newtons. (approx.)