Gravity force on Jupiter problem

In summary, the watermelon has a weight of 49.0N on the surface of Io, but because the acceleration due to gravity is 1.81m/s^2, it has a mass of 27.07kg.
  • #1
Whatupdoc
99
0
At the surface of Jupiter's moon Io, the acceleration due to gravity is 1.81m/s^2 . A watermelon has a weight of 49.0N at the surface of the earth. In this problem, use 9.81m/s^2 for the acceleration due to gravity on earth


1.) What is its mass on the surface of Io?

2.) What is its weight on the surface of Io?

working on #1, F=m*a

F = m * 1.81

all we really know is (a) of Io. but we do know the force(49.0N) of earth, how would i convert that to the forces of Io?
 
Physics news on Phys.org
  • #2
Your mass, my mass, mass of object x, etc. is going to be the same whether you're on the Earth, the moon, Io, etc. It is the weight that changes depending on your location's acceleration due to gravity.

As it stands you have enough info to solve for the mass of the watermelon on Earth...
 
  • #3
underthebridge said:
Your mass, my mass, mass of object x, etc. is going to be the same whether you're on the Earth, the moon, Io, etc. It is the weight that changes depending on your location's acceleration due to gravity.

As it stands you have enough info to solve for the mass of the watermelon on Earth...

yes, but I am not trying to solve for the mass of the watermelon on earth, that was another question, but i already got the answer. it's 4.99 kg

im trying to solve for the mass on the surface of Io. here's what i done:

F= m*a
49 = m*1.81
m = 27.07kg
that's the mass of Io that i got, but it's the wrong answer.
 
  • #4
And what I'm telling you is the mass of the watermelon doesn't change because it is now on Io. The weight changes because the acceleration due to gravity changes, the mass remains the same.

Your mass, my mass, mass of object x, etc. is going to be the same whether you're on the Earth, the moon, Io, etc. It is the weight that changes depending on your location's acceleration due to gravity.
 
  • #5
underthebridge said:
And what I'm telling you is the mass of the watermelon doesn't change because it is now on Io. The weight changes because the acceleration due to gravity changes, the mass remains the same.

oops, my bad, i thought you said that the weight doesn't change. i misread your post
 
  • #6
No problem, it happens :)
 

FAQ: Gravity force on Jupiter problem

What is the gravity force on Jupiter?

The gravity force on Jupiter is approximately 24.79 m/s², which is about 2.5 times stronger than Earth's gravity.

How is the gravity force on Jupiter calculated?

The gravity force on Jupiter is calculated using Newton's law of universal gravitation, which states that the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

Why is the gravity force on Jupiter stronger than on Earth?

The gravity force on a planet is determined by its mass and size. Jupiter is much larger and more massive than Earth, so it has a stronger gravitational pull.

How does the gravity force on Jupiter affect its moons?

The gravity force on Jupiter affects its moons by keeping them in orbit around the planet. The stronger the gravity force, the faster the moons orbit around Jupiter.

Can the gravity force on Jupiter change?

Yes, the gravity force on Jupiter can change slightly depending on its distance from the sun and other planets. However, these changes are very small and do not significantly impact the overall gravity force on the planet.

Back
Top