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
Verified Correct Answer: A.
Physical Principles & Numerical Solution
V = \sqrt2GM/R.
=\sqrt[2 x 6.67 x 10\(^{-11}\) x 6.0 x 10\(^24\)] / 6.4 x 10\(^6\)
= \sqrt12.506 x 10\(^7\)
= 11,183.13
OR
V =\sqrt2gR
V=\sqrt[2 * 10 * 6.4 x 10\(^6\)]
V = \sqrt128,000,000
11,313.708
Source: WAEC / JAMB / NECO Classroom Archive (Record #13882)