# Question #e1c2c

##### 1 Answer

May 28, 2016

#### Answer:

-1.2%

#### Explanation:

Let

- M be the mass of Mars
- R be the radius of Mars
- D be the distance of the
**top point**of the highest mountain from the center of Mars -
**The gravitational field strength at the bottom**of the mountain or at the surface of the mars

# g_b=(GM)/R^2........(1)# ,Where G = Gravitational constant -
Similarly the gravitational field strength at the top of the mountain .

# g_t=(GM)/D^2........(2)#

By the condition of the problem

Dividing equation(2) by equation (1) we get

#g_t/(g _b) = (cancelR/(cancelR(1+0.006)))^2=(1+.006)^-2#

The change in gravitational field strength from the bottom to the top of Olympus Mons is

.