Problem 2 (Mission to Mars) mission to Mars. Suppose you are an astronaut on the

Question

Problem 2 (Mission to Mars) mission to Mars. Suppose you are an astronaut on the first manned (a) (5 points) Look up the chemical composition of Mars's atmosphere, as well as the atmospheric pressure. b) (5 points) You take with you on the mission a baseball of mass 145 g and diameter 2.90 in. On a hot Martian summer day, when the ambient outdoor temperature on the surface of Mars is 70°F, you drop the baseball from rest from the top of a 20-m tall cliff. How long does it take the baseball to reach the ground? Note: Do not do any numerical integration for this problem.

Explanation / Answer

Answer:

Let us go to the basics first.

Chemical composition of Mars atmosphere is as per following:

The Martian atmosphere consists of approximately 96% carbon dioxide, 1.9% argon, 1.9% nitrogen, and traces of free oxygen, carbon monoxide, water and methane, among other gases, for a mean molar mass of 43.34 g/mol.

(Answer A)

The atmospheric pressure on the Martian surface averages 600 pascals (0.087 psi; 6.0 mbar). (Answer A)

We know that acceleration due to gravity of Mars is a = 3.8 m/s2.

From Newton's equation of motion, we can derive that:

H = ut + (1/2)at2

Thus, H = 0 + (1/2)at2 (as ball is initially at rest, so u=0)

So, t = (2H/a)^0.5

t = (2*20/3.8)^0.5

t = 3.24 seconds. (Answer B)

Thanks!!!

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