COMEDK · Physics · 9. Gravitation
Two spherical bodies of masses \(M\) and \(5 M\) and radii \(R\) and \(2 R\) are released in free space with initial separation between their centres equal to \(12 R\). If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is
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- A \(25 R\)
- B \(4.5 \mathrm{R}\)
- C \(7.5 R\)
- D \(1.5 R\)
Answer & Solution
Correct Answer
(C) \(7.5 R\)
Step-by-step Solution
Detailed explanation
The given situation is shown below. Let the smaller body truvels a distance \(x\) before collision doe to gravitation attraction. Henee, \(M x=5 M(9 R-x)\) \(\Rightarrow \quad x=5(9 R-x)\) \(\Rightarrow \quad x=45 R-5 x\) \(\Rightarrow \quad 6 x=45 R\)…
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