Question

A person is pushing on a car with a force of <-14,4> and another person is pushing on a car with a force of -6,1> What is the net force in the vertical direction?

Answer 1

We are given the following vector forces:

`\begin{gathered} F_1=(-14,4) \\ F_2=(-6,1) \end{gathered}`

These vector forces are expressed as:

`F=(x,y)`

Where the first component "x" is the horizontal component, and "y" is the vertical component. Since we are asked about the net force in the vertical component we need to add the components "y" of both vectors, we get:

`\Sigma F_y=4+1=5`

Therefore, the net force in the vertical direction is 5.