2 dimension forces - problem solving for parked car

AI Thread Summary
To determine if the parked car will remain at rest, the gravitational force acting on the car must be resolved into its perpendicular and parallel components relative to the incline. The weight of the car is 20,000N, and the parallel component of this force can be calculated using the sine of the incline angle (30 degrees). This results in a parallel force of approximately 10,000N, which is less than the maximum brake force of 12,000N. Therefore, the car will remain at rest since the braking force exceeds the force trying to move it down the incline. Understanding how to resolve forces into components is crucial for solving such problems.
maryemilyw
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Problem of the day: Trying to find the formula to use for my 15 year old daughter.
A 20,000N car is parked on an incline that makes an angle of 30 degrees with the horizontal. If the maximum force the brakes can withstand is 12,000N, will the car remain at rest?
She is just learning how to pick formula and plug in the proper info.

HELP!
 
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Just resolve the vector into it's perpendicular & parallel components. Have you done this before?
 

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