# A force of 38 newtons is acting on an object making an angle of 55° with the horizontal. What is the value component of the force acting along the y-axis?

Jan 20, 2016

${F}_{y} = 31 N$

#### Explanation:

First let's orientate the problem. The y-direction is vertical and the x-direction is horizontal.

Now a diagram of the problem.

In the diagram on the left the force is shown with the 55º angle that is given in the question. On the right I have shown the two components of the force:

• ${F}_{V}$ is the vertical component which we can also call ${F}_{y}$
• ${F}_{H}$ is the horizontal component which we can also call ${F}_{x}$

The question requires us to find ${F}_{V}$.

By using trigonometry we can see that ${F}_{V}$ forms the side of a right angled triangle that is opposite to the 55º angle, so:
${F}_{V} = 38 \sin 55 = 31 N$ (2 sf).