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If the radius of the Earth is 6.4 x 10\(^6\)m, the escape velocity of a...

Physics
JAMB 2006

If the radius of the Earth is 6.4 x 10\(^6\)m, the escape velocity of a satellite from the Earth is?
[g = 10 ms\(^-2\)]

  • A. 1.13 x 104 ms-1
  • B. 9.00 x 103 ms-1
  • C. 8.00 x 103 ms-1
  • D. 1.27 x 104 ms-1
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Correct Answer: Option A
Explanation

V = √2GM/R.

=√[2 x 6.67 x 10\(^{-11}\) x 6.0 x 10\(^24\)] / 6.4 x 10\(^6\)

= √12.506 x 10\(^7\)

= 11,183.13

OR

V =√2gR

V=√[2 * 10 *  6.4 x 10\(^6\)] 

V = √128,000,000

11,313.708

There is an explanation video available below.


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Explanation Video

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