Question

A force of 38 newtons is acting on an object making an angle of 65º with the horizontal. What is the value component of the force acting along the y-axis?

(A)4.98 newtons
(B)16.8 newtons
(C)34.4 newtons
(D)50.8 newtons
(E)96.1 newtons

Answer 1

The answer is C.................

Answer 2

The component of the force along the y-axis is given by

`F_y = F \sin \theta`
where
F is the magnitude of the force

`\theta` is the angle between the direction of the force and the horizontal (x-axis)

In our problem, F=38 N and
`\theta=65^(\circ)`, therefore the y-component of the force is

`F_y = F \sin \theta=(38 N)(\sin 65^(\circ))=34.4 N`
Therefore, the correct answer is C).