Question

can someone please explain how to solve this question
Find the acceleration due to gravity on the surface of the Mars. The mass of Mars is 6.42x10^23kg and its radius is 3370km

Answer 1

Answer:

Mass of Mars is 6.4 × 10^23 and it's radius is 3400 km.

Acceleration due to gravity on surface of Mars.

Mass of Mars (M) = 6.4 × 10^23

Radius of Mars (R)

= 3400 km

= 3400000 m

= 3.4 × 10^6 m

And, the universal gravitational constant (G) = 6.7 × 10^-11

______________________

Let the acceleration due to gravity on Mars be g.

Now, we know that,

F = mg [second law of motion]

Also,

F = GMm/d² [universal gravitational law]

Then,

mg = GMm/d²

=> g = GM/d²

=> g = GM/R²

Hence, acceleration due to gravity (g) on Mars is 3.7 m/s².