Mars has a mass 1/10 that of earth and a diameter 1/2 that of earth

D.

Explanation:

The question is incomplete, please remember to write the whole question. However, the the complete question is as follows:

Mars has a mass 1/10 that of Earth and a diameter 1/2 that of Earth. The acceleration of a falling body body near the surface of Mars is most nearly:

A.

B.

C.

D.

E.

Let's begin by the fact that on Earth, the gravity force that acts on a falling object is given by:

(1)

Where:

is the mass of the falling body

is the mass of the Earth

is the acceleration due gravity on Earth

is the Universal Gravitational constant

is the Earth's radius and is its diameter

Simplifying (1) we have:

(2)

(3)

Now, in the case of Mars we have:

(4)

Where:

Substituting these on (4):

(5)

Simplifying:

(6)

Then:

(7)

Finally:

This is most nearly the acceleration of a falling body near the surface of Mars

the maxium height is 34m/s