1. A spaceship is orbiting the Earth around the circular orbit of radius R=2.5R

Question

1.      A spaceship is orbiting the Earth around the circular orbit of radius R=2.5R0, where R0 is the Earth%u2019s radius. What should be the additional velocity V to be supplied to the spaceship in the direction away from the center of the Earth (along the radius of the orbit) so the ship may completely escape the Earth gravity?

http://snag.gy/mpqcb.jpg

The diagram is above, listed as Problem 3.

PO

Original answers are preferred.

A spaceship is orbiting the Earth around the circular orbit of radius R=2.5R0, where R0 is the Earth%u2019s radius. What should be the additional velocity V to be supplied to the spaceship in the direction away from the center of the Earth (along the radius of the orbit) so the ship may completely escape the Earth gravity?

Explanation / Answer

GMm/r=mv^2/2

v^2=2GM/2.5R
=2gR/2.5

Vrequired=6.95-4.4
=2.55km/s

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