A box weighing 46 newtons rests on an incline that makes an angle of 25° with the horizontal. What is the magnitude of the component of the box's weight perpendicular to the incline?

(1) 19 N

(2) 21 N

(3) 42 N

(4) 46 N

The magnitude of the component of the box’s weight perpendicular to the incline can be olve using the formula:

F = wcos (a)

Where F is the box’s weight perpendicular to the incline

W is the weight of the box

A is the angle of the incline

F = (46) cos (25)

F = 42 N