How Do I Calculate the Gravity on Saturn with its Given Radius and Mass?

In summary, the conversation discusses a word problem involving Saturn's equatorial radius and mass, and the task of calculating the acceleration due to gravity on Saturn and the weight of a person on Saturn compared to Earth. The person is struggling to solve the problem due to their lack of familiarity with calculating gravity on a different planet. However, they are seeking help and attempting to understand the problem better.
  • #1
HodaM
6
0
I have got this word problem and I tried to solve but could not find the exact answer and I need the way to do it because my upcoming test has similar problems to it,,


Homework Statement


Saturnn has an equatorial radius of 6.00 * 107m and a mass of 5.67 * 1026Kg. Calculate the following:
a) the acceleration due to gravity of Saturn.
b) how many times greater is a person's weight on Saturn compared to that on Earth?


Homework Equations


F= mg
Fg= Gm1m2 / r2


The Attempt at a Solution


I don't know where to start from because I am used to solve similar problems starting with the acceleration due to gravity which is known to be 9.81m/s2, but this only applies for Earth gravity and I don't know how to start solving this problem


Thank you for any help
 
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  • #2
Well, you can use your second equation to derive a g for Saturn, can't you?
 
  • #3
I guess so , the problem is that is joined the class late, and English is not my first language
but I will try my best


Thank you
 
  • #4
HodaM said:
I guess so , the problem is that is joined the class late, and English is not my first language
but I will try my best


Thank you

Sorry, my comment wasn't meant to come across as being abrupt. Perhaps I should rephrase it: how can you write your second equation so as to derive a 'g' for Saturn from it?
 
  • #5
cristo said:
Sorry, my comment wasn't meant to come across as being abrupt. Perhaps I should rephrase it: how can you write your second equation so as to derive a 'g' for Saturn from it?

Don't worry

I will try doing it and I understand it better now

Thank you very much
 

FAQ: How Do I Calculate the Gravity on Saturn with its Given Radius and Mass?

What are Newton's Laws of Motion?

Newton's Laws of Motion are three physical laws that describe the relationship between an object's motion and the forces acting upon it. They were developed by Sir Isaac Newton in the late 17th century.

What is the First Law of Motion?

The First Law of Motion, also known as the Law of Inertia, states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless acted upon by an external force.

What is the Second Law of Motion?

The Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. This can be expressed as the equation F=ma, where F is the force, m is the mass, and a is the acceleration.

What is the Third Law of Motion?

The Third Law of Motion, also known as the Law of Action and Reaction, states that for every action, there is an equal and opposite reaction. This means that when a force is exerted on an object, the object will exert an equal force in the opposite direction.

How do Newton's Laws apply to everyday life?

Newton's Laws of Motion have many practical applications in our daily lives. For example, the first law explains why objects stay in place unless acted upon by a force, the second law can be seen in the relationship between force and acceleration in activities like driving a car, and the third law can be observed in actions like walking or jumping off of a diving board.

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