Question

A probe is launched vertically upwards from the surface of a planet with a speed v...

A probe is launched vertically upwards from the surface of a planet with a speed

v = 3/4 vesc

where vesc is the escape speed from the planet. The planet has no atmosphere.

Determine, in terms of the radius of the planet R, the maximum height from the surface of the planet reached by the probe.

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Answer #1

Ans: The escape velocity of a planet is   

The velocity of probe is   

From 1D kinematics, the maximum height reached by an object vertically up when the gravitational acceleration of the planet is g is    Here,   

Therefore,

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