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JAMB Physics 2006 Question 17

Question 17

Gravitational Field

If the radius of the earth is 6.4 × 106m, the escape velocity of a satellite from the earth is [g = 10ms−2]

  1. A.8.00 × 103ms−1.
  2. B.9.00 × 103ms−1.
  3. C.1.13 × 104ms−1.
  4. D.1.27 × 104ms−1.
Show the answer and explanation

Answer: C (1.13 × 104ms−1.)

Explanation

Escape velocity v = √(2gR) = √(2 × 10 × 6.4 × 106) = √(1.28 × 108) ≈ 1.13 × 104 m s−1.