79.3k views
2 votes
A person can jump 1.5m on the earth. How high could the person jump on a planet having the twice the mass of the earth and twice the radius of the earth?

User Frith
by
8.2k points

2 Answers

4 votes
I believe you'd have to calculate the different planets info and use the formula you the problem used to find their height of the jump in order to find yours ..
User Santi
by
7.7k points
3 votes
F=mg=Gm1m2/r^2
g=Gm2/r^2
g=2Gm2/(2r)^2=2Gm2/4r^2=Gm2/2r^2
So since there is half times the gravity on this unknown planet that has twice earth's mass and twice it's radius, then the person can jump twice as high. 1.5*2= 3m high

User Vargonian
by
7.8k points