The acceleration due to gravity on Earth is approximately 9.81 m/s^2. What is th

Question

The acceleration due to gravity on Earth is approximately 9.81 m/s^2. What is the g on Mars? a. Calculate the acceleration due to gravity, g, on Mars to the nearest 0.01 m/s^2. Assume: mass of Mars is 6.42x10^23 Kg, Mars radius is 3397 km, and the universal gravitational constant is 6.67x10^-11 m^3*kg^-1*s^2. Make sure that you are clear in showing why the acceleration due to gravity only depends on the mass of Mars and not any object's mass. b) Is gravity on Mars more or less than on Earth? c) What two parameters control the acceleration due to gravity on a planet? Which one is most responsible for the difference in gravity on Mars compared to Earth and why?

Explanation / Answer

acceleration due to gravity is given as

a=G*M/r^2

=6.67x10^-11*6.42x10^23/(3397*1000)^2 =3.71 m/s^2

gravity on Mars less than on Earth

acceleration depends on radius of planet and mass.

Radius is more responsilble for change in acceleration because it depends on R^2.

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