Determine the balls mass from force by gravity

In summary, the two identical balls, with their centers 24.0cm apart, experience a mutual gravitational force of 5.3×10−6N. Using the equation F=Gm1m2/r^2, the mass of the balls can be calculated to be approximately 6765.28kg. However, it is important to note that the constant used in the equation should be G, not g, and the units of the quantities must be consistent (in this case, Newtons and Centimeters).
  • #1
nickb145
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Homework Statement


Two identical balls, their centers 24.0cm apart, experience a mutual gravitational force of 5.3×10−6N .Find the ball's mass

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Homework Equations


F=Gm1m2/r^2

Isn't this just backwards?

5.3x10^-6=(6.67x10^-11)(m^2)/24^2

6765.28kg? that wasn't right
i thought it may be in g to i made it to 6.67. still not right
Does the radius need to be in cm or m?

The Attempt at a Solution


i tried it out by using the gravitational force equation
 
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  • #2
You chose the correct Relevant equation, for which the constant must be G, not g.

Make sure that your quantities have units that agree. What are the units of G? How about r?
 
  • #3
Sorry, but yes it should be G. I did mean G though

the units are Newtons and Centimeters
 
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FAQ: Determine the balls mass from force by gravity

How does force affect the mass of a ball?

Force and mass are directly proportional, meaning that as the force acting on an object increases, its mass also increases. This is because the force of gravity acts on the mass of an object, pulling it towards the center of the Earth.

What is the formula for determining the mass of a ball from force by gravity?

The formula for determining the mass of a ball from force by gravity is mass = force/acceleration due to gravity. This formula uses the basic equation of force = mass x acceleration, and rearranges it to solve for mass.

How is the force of gravity measured?

The force of gravity is measured using a tool called a spring scale. This tool uses the concept of Hooke's Law, which states that the force exerted by a spring is directly proportional to the distance it is stretched or compressed. By measuring the distance the spring stretches under the weight of an object, the force of gravity can be determined.

Can the mass of a ball change depending on its location?

No, the mass of a ball does not change depending on its location. Mass is an intrinsic property of an object and is not affected by its location or surroundings. However, the weight of the ball may change due to the different gravitational pull at different locations.

What other factors can affect the force of gravity on a ball?

The force of gravity on a ball can also be affected by the mass of the object it is interacting with, as well as the distance between the two objects. The larger the mass of the object, the stronger the gravitational force. Similarly, the closer the objects are, the stronger the gravitational force between them.

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