Calculating Car Weight & Braking Force on a Hill

[phys1618]

Homework Statement

a car is exerting 3.000N of force on a hill that rises 3m for each 100m of road. what is the actual weight of the car? how much force do the brakes have to exert to keep the car from rolling down the hill.

Homework Equations

a2 + b2 = c2
sin theta= opp/hyp
cos theta=adj/hyp
tan theta=opp/adj

The Attempt at a Solution

i used the a2 + b2 =c2 equation and found that c is 100.04m
I assumed that 3m is the height = a
100m is the length so its = b
and that's how i found c is the side of the hill
i tried cutting the problem into smaller triangles to get the degrees of the hill from the ground to try to get the answr easier, but I am not sure...
thank you for all the help...

 

[Kurdt]

Is that 3N or 3000N? You will need trigonometry to fiind the angle of the hill and then you will need to split the cars weight into components. Try drawing a free body diagram before hand.

 

[phys1618]

3000n

 

[Kurdt]

So have you tried anything yet?