Find the y-compnent of the force

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In summary, Object A (+21.2nC) at the origin exerts a force of 4.7*10^-3 N in the positive y direction on Object B (+19.7nC) located at (0cm, 2.80cm). The calculation for the force includes the equation F=K(q1)(q2)/(r^2) and a distance of 0.028m between the objects. The result may differ slightly from other answers due to rounding.
  • #1
kdizzle711
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Homework Statement


Object A, which has been charged to + 21.2nC , is at the origin. Object B, which has been charged to + 19.7nC , is at (x,y)= (0cm, 2.80cm) .

What is the y-component of the force (F a on b)y on B due to A

Homework Equations



F=K(q1)(q2)/(r^2)

The Attempt at a Solution



F= (9*10^9)*(21.2*10^-9)*(19.7*10^-9)/(.028^2)
= .0047N

Where am I messing up? Thanks
 
Last edited:
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  • #2
kdizzle711 said:

Homework Statement


Object A, which has been charged to + 21.2nC , is at the origin. Object B, which has been charged to + 19.7nC , is at (x,y)= (0cm, 2.80cm) .

What is the y-component of the force (F a on b)y on B due to A

Homework Equations



F=K(q1)(q2)/(r^2)

The Attempt at a Solution



F= (9*10^9)*(21.2*10^-9)*(19.7*10^-9)/(.028^2)
= .0047N

Where am I messing up? Thanks

From your statement of the problem I get 4.8*10-3 N in the positive y direction.

Which is seemingly about the same as yours. Is there a preference for how the answer should be entered perhaps?
 
  • #3
EDIT: oops! misread it. :redface:

Thanks, LowlyPion! :smile:

(though why does the question bother to ask for the y-component if everything's on the y-axis anyway? :rolleyes:)
 
Last edited:
  • #4
Edit: Agreed. The wording of the OP seems more designed to encourage careful reading than grasping the concepts. I suppose it is preparation for latter problem statements.
 
Last edited:

1. What is a y-component of force?

The y-component of force is the vertical component of a force vector. It represents the force acting in the upward or downward direction.

2. How do you calculate the y-component of force?

To calculate the y-component of force, you can use the formula Fy = F * sin(θ), where F is the magnitude of the force and θ is the angle between the force vector and the y-axis. Alternatively, you can use trigonometric functions to find the y-component of force from the x and y components of the force vector.

3. What units is the y-component of force measured in?

The y-component of force is typically measured in newtons (N) in the SI system or pounds (lbs) in the imperial system.

4. How does the y-component of force affect an object's motion?

The y-component of force can affect an object's motion by causing it to accelerate in the y-direction. If the y-component of force is greater than the force of gravity, the object will accelerate upwards. If it is less than the force of gravity, the object will accelerate downwards. If the y-component of force is equal to the force of gravity, the object will have a constant velocity in the y-direction.

5. What are some real-life applications of finding the y-component of force?

Finding the y-component of force is essential in understanding and predicting the motion of various objects, such as projectiles, pendulums, and roller coasters. It is also used in engineering and design to determine the forces acting on structures, such as bridges and buildings, and to ensure their stability.

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