An astronaut exploring a distant solar system lands on an unnamed planet with a radius of 3800 km. When the astronaut jumps upward with an initial speed of 4.00 m/s , she rises to a height of 0.600 m.

Question

What is the mass of the planet?

Answer 1

Force/Massperson= a= GMass/radius^2

Now, at the top of the jump, velocity is zero, so vf=0=4-at or t= 4/a

heightmax= 4t-1/2 a t^2
.6=16/a-1/2 16/a= 8/a
a= 8/.6= GMass/radius^2 now solve for Mass

Answer 2

1.669*10^34