Question

An astronaut exploring a distant solar system lands on an unnamed planet with radius 3,860 km. When the astronaut jumps upward with an initial speed of 3.5 m/s, she rises to a height of 0.62 m. What is the mass of the planet to within 0.1%?

Answer 1

First find g for the planet
g = v^2/2y
Now we can use universal gravitation to find M
M = r^2 g/G