Chapter 3, Problem 29PP

The average person can jump off the ground with a velocity of 7 mph without fear of leaving the planet. However, if an astronaut jumps with this velocity while standing on Halley’s Comet, will the astronaut ever come back down? Create a program that allows the user to input a launch velocity (in mph) from the surface of Halley’s Comet and determine whether a jumper will return to the surface. If not, the program should calculate how much more massive the comet must be in order to return the jumper to the surface.

Hint: Escape velocity is ${\upsilon }_{\text{escape}}\text{ = }\sqrt{2\frac{GM}{R}}$ where $G=6.67\times {10}^{-11}$ N m²/kg² is the gravitational constant, $M=1.3\times {10}^{22}$ kg is the mass of Halley’s comet, and $R=10153\times {10}^{6}m$ is its radius.