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The escape velocity from the surface of the Earth is approximately:
A11.2 km/s
B2.37 km/s
C9.8 km/s
D6.4 km/s
Answer & Solution
Correct answer: A. 11.2 km/s
1. Escape velocity $v_{esc} = \sqrt{2gR}$ for the Earth.
2. Substitute $g = 9.8$ m/s$^2$ and $R = 6.4\times10^6$ m.
3. $v_{esc} = \sqrt{2\times9.8\times6.4\times10^6} = \sqrt{1.2544\times10^8}$.
4. This equals about $1.12\times10^4$ m/s $= 11.2$ km/s.
5. 2.37 km/s is the Moon's escape velocity, so it is the trap.
_Source: Balbharati (Maharashtra Board) Class 10 Science & Technology, Ch 1 "Gravitation", p.23_
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