Question

What would be the gravitational acceleration on Jupiter?

Answer 1

Suposse an object would be in freefall very close to the surface of Jupiter.
Newton tells you that the sum of all forces is equal to the mass times the acceleration.
But the only force you have is the gravitational force. Therefore:
\[F = G \frac{ M _{J}m }{r _{J}^{2} }=ma_{J}\]
Where G is the gravitational constant, Mj is the mass of Jupiter, m the mass of the object, rj Jupiters radius and aj the aceleration in jupiter.
Solving for aj:
\[a _{J}= G \frac{ M _{J} }{r _{J}^{2} }\]

Answer 2

Great Job Lessis!