A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm.

Question

A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm.

A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take G = 6 . 67× 10^-11 Nm² / kg²)

(1) 13.34 ×10⁻¹⁰ J

(2) 3.33 ×10⁻¹⁰ J

(3) 6.67 ×10⁻⁹J

(4) 6.67 ×10⁻¹⁰J

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Salim Ahmed Kawsar · Answer 1 · Feb 05, 2023 15:29:48

Salim Ahmed Kawsar

Answered Feb 05, 2023

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The correct answer is (4)
w = GMm / R = 6.67 × 10^-10 J

Salim Ahmed Kawsar · Answer 2 · Feb 05, 2023 15:29:48

Correct option: (B) 6.67 × 10^–10 J

Explanation:

PE of system of two masses = U = [(– GMm) / R]

U = [(– 6.67 × 10^–11 × 100 × 10 × 10^–3) / (10 × 10^–2)]

U = 6.67 × 10^–10 J

so amount of work done to take particle upto infinity will be 6.67 × 10^–10 J

A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm.

2 Answers