How Much Force to Keep a 1390 kg Car from Sliding Back on a 17.5° Hill?

[tatiana]

The question is saying that in a city, most roads are 17.5 degrees to the horizontal. They want to know how much force is needed to keep at 1390 kg car from sliding back on the hill?

Solution:
I first drew a FBD and then broke the diagram into components F, the force.
After i didi that i used F=mg(sinθ) and plugged everything in and got 4096.20N

My question is not only am i doing this right? But can the force that you solve for be greather than the actual weight of the car?

 

[Dale]

Looks like moondawg is in your same class:
https://www.physicsforums.com/showthread.php?t=440104

Yes you are right. The force is not greater than the weight. Remember, the weight is mg, not just m. You cannot say if the force is greater or less than the mass since they are different units and cannot be compared.