# A truck pulls boxes up an incline plane. The truck can exert a maximum force of #5,700 N#. If the plane's incline is #(2 pi )/3 # and the coefficient of friction is #8/5 #, what is the maximum mass that can be pulled up at one time?

##### 1 Answer

#### Answer:

#### Explanation:

If

So, we want to know the maximum mass of the boxes.

This is because when the boxes reach the maximum mass, the truck at this stage cannot pull more boxes. Thus, the force that pulls everything up the incline must be equal to the forces against the motion.

Now,

Here

The problem is that

Here

Rearrange the equation to get

Now plug in the numbers to get

Now use that equation

Solve for

After you plug in the numbers you will get :