The drawing shows a wire tooth brace used by orthodontists. The top-most tooth is protruding slightly, and the tension in the wire exerts two forces, and , on this tooth in order to bring it back into alignment. If the forces have the same magnitude of 24.3 N, what is the magnitude of the net force exerted on the tooth by these forces?
To find the magnitude of the net force exerted on the tooth by these forces, we need to calculate the vector sum of the two forces. Since the forces have the same magnitude, we can consider them as vectors acting in the same direction.
To calculate the vector sum, we can use the concept of vector addition. Vector addition is done by adding the magnitudes of the vectors and keeping their direction the same.
In this case, since the forces have the same magnitude, we simply need to add their magnitudes to get the magnitude of the net force.
Magnitude of the net force = Magnitude of force 1 + Magnitude of force 2
= 24.3 N + 24.3 N
= 48.6 N
Therefore, the magnitude of the net force exerted on the tooth by these forces is 48.6 N.