2 dimension forces - problem solving for parked car

In summary, a 2-dimensional force is a force that acts in two directions, typically represented by the x and y axes. To solve 2-dimensional force problems, one must use vector addition and trigonometry. Some common examples of 2-dimensional force problems include a car parked on a hill, projectile motion, and a person pulling a sled. Free body diagrams are essential in solving these problems as they help visualize the forces acting on an object. 2-dimensional force problems are commonly used in real-life situations, particularly in physics and engineering, to understand and design systems more efficiently.
  • #1
maryemilyw
1
0
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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  • #2
Just resolve the vector into it's perpendicular & parallel components. Have you done this before?
 

1. What is a 2-dimensional force?

A 2-dimensional force is a force that acts in two directions, typically represented by the x and y axes. It is often used to describe the motion of objects in a plane, such as a car moving along a road.

2. How do I solve 2-dimensional force problems?

To solve 2-dimensional force problems, you will need to use vector addition and trigonometry. First, draw a free body diagram to identify all the forces acting on the object. Then, use vector addition to find the net force in both the x and y directions. Finally, use trigonometry to find the magnitude and direction of the net force.

3. What are some common examples of 2-dimensional force problems?

Some common examples of 2-dimensional force problems include a car parked on a hill, a projectile motion problem, and a person pulling a sled on a snowy slope. These problems involve forces acting in two dimensions, and require the use of vector addition and trigonometry to solve.

4. How do I use free body diagrams in 2-dimensional force problems?

Free body diagrams are essential in solving 2-dimensional force problems. They help to visualize the forces acting on an object and determine the direction and magnitude of each force. By drawing a free body diagram, you can easily identify the net force in both the x and y directions, which is necessary for solving the problem.

5. How do 2-dimensional force problems relate to real-life situations?

2-dimensional force problems are commonly used in real-life situations, particularly in physics and engineering. For example, understanding how forces act on a car parked on a hill can help engineers design more efficient braking systems. Projectile motion problems are also relevant in fields such as ballistics and sports, where the trajectory of an object must be calculated accurately.

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