# Mars gravitation

Joined Dec 29, 2004
83
Hello,
please Can I have some guidance for the problem:

The heigth achieved in a jump is determined by the initial vertical velocity that a jumper is able to achieve. Assuming that this is a fixed number, how high can an athlete jump on Mars if she can clear 1.85m on earth?

Thank you

B

#### hgmjr

Joined Jan 28, 2005
9,027
The difference in height to which an athlete can jump on another planet is proportional to the ratio of the planet's gravity to that of the earth.

For example, if the gravity of a planet is half that of the earth then the athlete can jump twice as high as the athlete can jump on the earth, all other things being equal.

hgmjr

#### Danielsix-five

Joined Dec 6, 2005
20
Along with the ratio example, think of the two objects, you and the earth, or you and mars, as emitting two gravitational fields upon each other.

Force of Gravity between two objects = G(m1*m2)/(r^2)

G is Newton's Gravitational Constant = 6.673x10^(-11)
r = distance between the center of masses of the two objects
m = mass of the object (in this case m1=mass of earth or mars and m2 = mass of you or vise versa.)

Hope this helps some.

- δαηiεl