Calculate energy needed for moving a mass of 4kg from the centre of the earth to its surface. If radius of the earth is 6400 km and acceleration due to gravity at the surface of the earth is g = 10 m

Question

Calculate energy needed for moving a mass of 4kg from the centre of the earth to its surface. If radius of the earth is 6400 km and acceleration due to gravity at the surface of the earth is g = 10 m / sec 2

TestHub · Accepted Answer

Ans (A) Δ E = 2 R + 3 GM m ​ − R GM m ​ = 2 R GM m ​ = 2 g R ​ m = 10 × 2 6400 × 1 0 3 ​ × 4 = 1.28 × 1 0 8 J

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JEE Advanced 2027 (Class 12+)