2 dimension forces - problem solving for parked car

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SUMMARY

The discussion centers on resolving the forces acting on a 20,000N car parked on a 30-degree incline to determine if it will remain at rest given that the maximum braking force is 12,000N. The key formula involves decomposing the gravitational force into its perpendicular and parallel components relative to the incline. The gravitational force acting parallel to the incline is 10,000N, which exceeds the braking force, indicating that the car will not remain at rest.

PREREQUISITES
  • Understanding of vector resolution in physics
  • Knowledge of gravitational force calculations
  • Familiarity with trigonometric functions, specifically sine and cosine
  • Basic principles of static equilibrium
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  • Study vector resolution techniques in physics
  • Learn about static equilibrium and forces on inclined planes
  • Explore trigonometric functions and their applications in force calculations
  • Investigate real-world applications of force analysis in automotive safety
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Students learning physics, educators teaching mechanics, and anyone interested in understanding forces acting on objects on inclines.

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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