The mean diameters of Mars and Earth are `6.9 xx 10^3` km and `1.3 xx 10^4` km, respectively. The mass of Mars is 0.11 times Earth's mass. (a) What is the ratio of the mean density (mass per unit volume) of Mars to that of Earth? (b) What is the value of the gravitational acceleration on Mars? (c) What is the escape speed on Mars?

Explanation

To solve the problem, we will break it down into three parts as per the question: (a) finding the ratio of the mean densities of Mars and Earth, (b) calculating the gravitational acceleration on Mars, and (c) determining the escape speed on Mars.

### Given Data:
- Mean diameter of Mars, \( D_m = 6.9 \times 10^3 \) km
- Mean diameter of Earth, \( D_e = 1.3 \times 10^4 \) km
- Mass of Mars, \( M_m = 0.11 \times M_e \) (where \( M_e \) is the mass of Earth)

### Step 1: Calculate the radius of Mars and Earth
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