A spacecraft is orbiting the earth in a circular orbit of, Mechanical Engineering

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A spacecraft is orbiting the earth in a circular orbit of

A spacecraft is orbiting the Earth in a circular orbit of radius c when the motors are fired so as to multiply the speed of the spacecraft by a factor k (k > 1), its direction of motion being unaffected.

[You may neglect the time taken for this operation.]

Find the range of k for which the spacecraft will escape from the Earth, and the eccentricity of the escape orbit.

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