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PhysicsQ&A LibraryThe mass of Mars is 6.39 X 1023 kg and has a radius of 3.39 X 106 m compared to the mass of the Earth, which is 5.97 X 1024 kg and a radius of 6.371 X 106 m. The gravitational acceleration on the surface of the Earth is 10 m/s2 and the surface of Mars is 3.7 m/s2. Why is the gravitational acceleration less on Mars than Earth? Show work.Question

Asked Oct 10, 2019

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The mass of Mars is 6.39 X 10^{23} kg and has a radius of 3.39 X 10^{6} m compared to the mass of the Earth, which is 5.97 X 10^{24 }kg and a radius of 6.371 X 10^{6 }m. The gravitational acceleration on the surface of the Earth is 10 m/s^{2} and the surface of Mars is 3.7 m/s^{2}. Why is the gravitational acceleration less on Mars than Earth? Show work.

Step 1

the expression for the gravitational acceleration for any spherical shape planet is

Step 2

case 1: mars

substitute the given quantities in the equation for gravitational acceleration,

Step 3

case 2:Earth

substitute the given quantities in the equ...

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