The strength of a looping motion, also known as velocity, depends on how fast the loop travels and in what direction it travels. How far the loop travels in each direction determines the magnitude of the velocity.
If the loop rotates around its equilibrium position with no displacement, then the velocity is said to be zero. In this case, there is no movement of the loop, so there is no magnitude of velocity.
You can apply this concept to physics problems to better understand them. For example, in a problem where a force acts on a body moving through space, if there is no change in position (i.e., it does not move), then there is no force acting on it.
This article will discuss more about the concept of magnitude of velocity and how it applies to physics problems.
Calculate the mass of the loop
In order to find the magnitude of the force on the loop, you need to know the mass of the ring. You can not find the force if you do not know what object is being pulled on by what other object.
The mass of any object is defined as its weight in a given gravitational field. The mass of an object does not depend on which direction it is pulled, only on the strength of the gravitational field.
So how do you determine an object’s mass? You could use a balance to determine its weight, then divide that weight by its size. However, this would be rather difficult for a ring.
There are other ways to determine an object’s mass, though. You could calculate its volume and density, then divide one value by the other.
Calculate the acceleration of the loop
Once you have the magnitude of the net force, you can then calculate the acceleration (changes in velocity) using the formula for acceleration:
acceleration = force / mass
Here, the force is the net force and the mass is the mass of the ring. Since mass is something that stays constant within this problem, you can just assume that more rings will result in a higher acceleration due to a higher net force.
Using this formula, you can determine how fast your ring moves forward after one second. One second is equivalent to 1 s, or 1 standard unit of time. Standard units of time are used quite frequently in physics problems due to their universal nature. One second is also equivalent to 1000 ms, or 1000 thousandths of a minute.
Calculate the net force on the loop
Now that you have the individual forces, you can calculate the net force on the loop. The net force is the total force acting on the loop, so it must include all of the other forces acting on the loop as well.
You already calculated the magnitude of Fnetx, or the pulling force toward x-direction, so now you just need to add Fnety and Fnetz. These are simply additions of all of the other forces acting on the loop in y- and z-directions and up and down forces, respectively.
For example, to find Fnetx: Add up Fnety and -Fnetz to get 0+(-100)=100 Nx. Thus, your net pulling force in x-direction is 100 N.
What did we learn?
In this case, the net force is found by adding up all of the forces acting on the loop. The force of the hook pulling inwards, the force of the wire pulling outwards, and the force of the magnet pulling down are all accounted for in this final magnitude.
The greater magnitude of these forces determines what direction the final net force is. The greater magnitude of the wire pulling outwards overpowers the other forces, so the final net force is pulled down.
If you were to remove either the hook or magnet, then there would be no net force on the loop at all. The loop would just float and spin freely depending on which way you chose to pull it.
This case was pretty simple! Just make sure to check every component to see what effect they have. Even small things like a hook can make a difference.
When asked to find the magnitude of a force, f, your answer will always be relative. You can never say the magnitude of a force is absolute. Magnitude refers to how strong something is.
For example, you cannot say a 1-newton force is strong unless you compare it to a different 1-newton force. You would have to compare it to a 100-newton force to say it was stronger.
The same goes for forces acting on an object. You cannot say the net force on an object is strong unless you compare it to a different net force on the same object. You would have to compare it to no net force at all to say it is strong.