⚛️ Physics · Gravitation · NEET & JEE

The escape velocity from Earth is 11.2 km/s. If a body is projected at 22.4 km/s, its speed far away from Earth (ignoring other bodies) is about:

Answer: 19.4 km/s.

A 22.4 km/s
B 11.2 km/s
C 19.4 km/s
D 33.6 km/s

Correct answer: C. 19.4 km/s

Explanation: Energy conservation: v_∞ = √(v² - v_e²) = √(22.4² - 11.2²) = √376.3 ≈ 19.4 km/s.

g is maximum at Earth's surface; going up, it falls off as 1/r² (inverse-square); going down, it falls off linearly with depth (since only the mass enclosed within radius r contributes), reaching zero at the centre.

Concept context

Universal gravitation, orbital mechanics, gravitational potential, and escape velocity.

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The escape velocity from Earth is 11.2 km/s. If a body is projected at 22.4 km/s, its speed far away from Earth (ignoring other bodies) is about:

Concept context

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