If the horizontal component of a net force is 68 newtons and the angle made by the net force with the horizontal is 19.2°, what is the value of the net force?

72.0 N

Explanation:

The horizontal component of the net force is given by:

where

F is the magnitude of the net force

is the angle between the net force and the horizontal.

In this problem, we know:

- the horizontal component,

- the angle,

Therefore, we can re-arrange the equation to find the magnitude of the net force: