Gravitational Force between three forces

In summary, the problem involves a 20kg ball and two 10kg balls positioned above it with one 5cm to the right of center and the other 5cm to the left. The net gravitational force on the 20kg ball is calculated using the equation F=GMm/R^2 and taking into account the equal distances of the 10kg balls from the 20kg ball along the x-axis. The result is 6.1*10^-7, which differs from the expected answer of 3*10^-7.
  • #1
DRC12
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0
1. Homework Statement [/b]
There's a 20kg ball and two 10kg balls 20cm above it. One of the 10kg balls is 5cm to the right of center and the other is 5cm to the left of center. What is the net gravitational force on the 20kg ball

2. Homework Equations [/b]
F=GMm/R23. The Attempt at a Solution [/b]
M=20kg, m=10kg, G=6.67E-11 and R=√(.202+.052)=.206m
[itex]\Sigma[/itex]Fx=0; because the 10kg ball are equal distances away from the 20kg ball along the x-axis
[itex]\Sigma[/itex]Fy=2*(((6.67*10-11*10*20)/(.2062))*(.2/.206))=6.1*10-7
I know the answers supposed to be 3*10-7
 
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  • #2
Your work looks correct to me.
 
  • #3
All right thanks I'm just going to assume the books wrong it wouldn't be the first time
 

1. What is gravitational force between three forces?

The gravitational force between three forces is the mathematical calculation of the attraction between three objects due to their masses and distances from each other. It is a result of the universal law of gravitation, which states that every object in the universe attracts every other object with a force that is directly proportional to their masses and inversely proportional to the square of the distance between them.

2. How is gravitational force between three forces calculated?

The gravitational force between three forces is calculated using the formula F = G * (m1*m2*m3)/d^2, where F is the force in newtons, G is the gravitational constant (6.674 x 10^-11 m^3/kg*s^2), m1, m2, and m3 are the masses of the three objects in kilograms, and d is the distance between the objects in meters. This formula takes into account the masses of all three objects and the distance between them to determine the overall force of attraction.

3. How does the distance between the objects affect the gravitational force between three forces?

The distance between the objects has a significant impact on the gravitational force between three forces. As the distance between the objects increases, the force of attraction decreases. This is because the force of gravity is an inverse square law, meaning that the force decreases exponentially as the distance increases. So, the farther apart the objects are, the weaker the gravitational force between them will be.

4. How does the mass of the objects affect the gravitational force between three forces?

The mass of the objects also has a direct impact on the gravitational force between three forces. The larger the masses of the objects, the greater the force of attraction between them will be. This is because the force of gravity is directly proportional to the masses of the objects. So, the larger the masses, the stronger the gravitational force between them will be.

5. Can the gravitational force between three forces ever be zero?

Yes, the gravitational force between three forces can be zero under certain conditions. If the three objects are aligned in a straight line, with one object in the middle and the other two on either side, the gravitational forces between them will cancel each other out. This is known as a net zero force, and it occurs when the forces are equal in magnitude and opposite in direction, resulting in a total force of zero.

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