Gravitational Force and Weight

In summary, gravitational force is the force of attraction between objects with mass, responsible for the interaction between objects in the universe. The formula for calculating gravitational force is F = G (m1m2)/r^2, with F being the force, G being the gravitational constant, m1 and m2 being the masses of the two objects, and r being the distance between them. The mass of an object does not directly affect its weight, as weight is a measure of the force of gravity on an object. However, the greater the mass, the greater the gravitational force and resulting weight. Mass is a measure of the amount of matter an object contains, while weight is a measure of the force of gravity. Distance affects gravitational force by
  • #1
Husker70
90
0

Homework Statement


If a man weights 900N on the Earth, what would he weigh on Jupiter,
where the free-fall acceleration is 25.9 m/2?


Homework Equations


Fg=mg
m=Fg/g

The Attempt at a Solution


Mass on Earth is m=900n/9.8m/s = 91.8kg
with the weight on Jupiter is Fg=(91.8kg)(25.9m/s2)=2.38x10 third power

Is this this easy?
Thanks,
Kevin
 
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  • #2
Yes, correctomundo!
 
  • #3


I would like to clarify some of the concepts mentioned in this question. First of all, the term "weight" refers to the gravitational force exerted on an object, not the mass of the object. Therefore, the man's weight on Jupiter would be different from his weight on Earth due to the different gravitational forces on each planet.

To accurately calculate the man's weight on Jupiter, we can use the equation Fg=mg, where Fg is the gravitational force, m is the mass of the object, and g is the gravitational acceleration. On Earth, the gravitational acceleration is approximately 9.8 m/s^2, while on Jupiter it is 25.9 m/s^2.

Using this equation, we can calculate the man's mass on Earth as m=Fg/g=900N/9.8m/s^2=91.8kg. Then, we can calculate his weight on Jupiter as Fg=mg=(91.8kg)(25.9m/s^2)=2374.2N.

In conclusion, the man's weight on Jupiter would be approximately 2374.2N, which is significantly greater than his weight on Earth due to the stronger gravitational force on Jupiter. I hope this helps to clarify any confusion.
 

1. What is gravitational force?

Gravitational force is the force of attraction between two objects with mass. It is responsible for the interaction between objects in the universe and is the reason why objects fall towards the Earth.

2. What is the formula for calculating gravitational force?

The formula for calculating gravitational force is F = G (m1m2)/r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.

3. How does the mass of an object affect its weight?

The mass of an object does not directly affect its weight. Weight is a measure of the force of gravity on an object, so the weight of an object will vary depending on the strength of the gravitational force acting on it. However, the greater the mass of an object, the greater the gravitational force will be, resulting in a greater weight.

4. What is the difference between mass and weight?

Mass is a measure of the amount of matter an object contains, while weight is a measure of the force of gravity on an object. Mass is constant and does not change with location, but weight can vary depending on the strength of the gravitational force.

5. How does distance affect gravitational force?

The gravitational force between two objects decreases as the distance between them increases. This is described by the inverse-square law, which states that the force is inversely proportional to the square of the distance between the two objects. This means that the farther apart two objects are, the weaker the gravitational force between them will be.

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