COMEDK · Physics · 9. Gravitation
The escape velocity of a projectile on the earth's surface is \(11.2 \mathrm{~km} / \mathrm{s}\). A body is projected out with thrice this speed. The speed of the body far away from the earth will be
- A \(22.4 \mathrm{~km} / \mathrm{s}\)
- B \(31.7 \mathrm{~km} / \mathrm{s}\)
- C \(33.6 \mathrm{~km} / \mathrm{s}\)
- D None of these
Answer & Solution
Correct Answer
(B) \(31.7 \mathrm{~km} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
Let \(v_e\) be the escape velocity on the earth's surface, where \(v_e = 11.2 \text{ km/s}\). The energy conservation principle states that the total energy at the surface equals the total energy at infinity. The initial velocity of the body is \(v = 3v_e\). The total energy at…
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