# A man is pulling on his dog with a force of 70.0 N directed at an angle of +30.0° to the horizontal. What are the x and y components of this force?

##### 2 Answers

#### Answer:

#### Explanation:

To put it shortly, any force F making an angle

He is pulling his dog at an angle of 30 with the horizontal with a force of 70 N

There are an x component and a y component to this force

If we draw this as a vector, then the diagram looks something like this

The Black line is the direction of force and red and green are x and y components respectively. The angle between the Black line and Red line is 30 degrees as given

Since force is a vector, we can move the arrows and rewrite it as

Now since the angle between the Black line and the Red line is 30 degrees and the vector black line has a magnitude of 70 N, we can use trigonometry

So,

So,

The x component is

So the components are

#### Answer:

y-direction= 35.0 N

x-direction= 60.6 N

#### Explanation:

You essentially have a right-angled triangle with a 30-degree angle and a hypotenuse with a magnitude 70.0 Newtons.

So the vertical component (y-direction) is given by=

The horizontal component (x-direction) is given by