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 T,T1 on this tooth in order to bring it back into alignment. If the forces have the same magnitude of 20.7 N, what is the magnitude of the net force exerted on the tooth by these forces?
Without the drawing I have no idea of directions of these force vectors. I do not do magic :)
To find the magnitude of the net force exerted on the tooth by the two forces, you need to determine the vector sum of the two forces. Since the two forces have the same magnitude of 20.7 N, they are equal in magnitude.
Mathematically, when two forces are acting in the same direction, you can find their net force by simply adding their magnitudes together. In this case, since the two forces are T and T1, the net force can be calculated as:
Net Force = T + T1
Since T and T1 both have the magnitude of 20.7 N, the net force can be calculated as:
Net Force = 20.7 N + 20.7 N
Therefore, the magnitude of the net force exerted on the tooth by these forces is:
Net Force = 2 * 20.7 N = 41.4 N
Hence, the magnitude of the net force exerted on the tooth by these forces is 41.4 N.