Question
Download Solution PDFThe mass of the Earth is ________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF- Let the mass of the earth be M.
- Mass of the other object on earth is m.
- We know the value of Gravitational Constant (G) = 6.67259 × 10-11 Nm2/kg2.
- We know the formula for the force between two objects (F) = G m1 m2/r2.
- Now the radius of the earth (r) = 6.3781 × 106 m.
- We know that F = mg
- Now by substituting the values, we get mg = G M m/r2.
M = g r2/G
M = (9.81) (6.3781 × 106)2/6.67259 × 10-11
M = 6 × 1024 kg.
The mass of the earth (M) is 6 × 1024 kg.Last updated on Jun 2, 2025
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