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?

Respuesta :

Answer:

72.0 N

Explanation:

The horizontal component of the net force is given by:

[tex]F_x = F cos \theta[/tex]

where

F is the magnitude of the net force

[tex]\theta[/tex] is the angle between the net force and the horizontal.

In this problem, we know:

- the horizontal component, [tex]F_x = 68 N[/tex]

- the angle, [tex]\theta=19.2^{\circ}[/tex]

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

[tex]F=\frac{F_x}{cos \theta}=\frac{68 N}{cos 19.2^{\circ}}=72.0 N[/tex]