Calculating Normal and Frictional Forces on a Parked Car on an Inclined Road

In summary, the question asked for the magnitudes of the normal force and static frictional force exerted on a car parked on a road with a 14.4° incline. The normal force can be calculated by multiplying the mass of the car by gravity, while the static frictional force can be found by splitting the weight of the car into two components and using the incline angle to determine the perpendicular force.
  • #1
luap12
10
0
1. A car (m = 1940 kg) is parked on a road that rises 14.4 ° above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires?



Homework Equations





3. I am not sure what I need to do here. Wouldn't the normal force just be the mass times gravity? Not sure what equations I should be using or how I should be incorporating the angle.
 
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  • #2
luap12 said:
1. A car (m = 1940 kg) is parked on a road that rises 14.4 ° above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires?



Homework Equations





3. I am not sure what I need to do here. Wouldn't the normal force just be the mass times gravity? Not sure what equations I should be using or how I should be incorporating the angle.

The normal force is the force exerted perpendicularly from the road on the car. You have to split the force of weight into one force that is pulling the object down the road at 14.4 degrees and one force perpendicular to the road. This image from SparkNotes could help you visualize the forces.
normal.gif
 
  • #3
that works and makes sense now! Thanks!
 

FAQ: Calculating Normal and Frictional Forces on a Parked Car on an Inclined Road

What is the difference between normal and frictional forces?

Normal force is the force exerted by a surface on an object that is in contact with it, perpendicular to the surface. Frictional force is the force that opposes the motion of an object when it is in contact with another surface.

How do normal and frictional forces affect motion?

Normal force does not affect the motion of an object, but it prevents the object from falling through a surface. Frictional force, on the other hand, can either help or hinder the motion of an object depending on the direction of the force and the type of surface it is in contact with.

What factors affect the strength of normal and frictional forces?

The strength of normal force is affected by the weight of the object and the angle at which it is placed on the surface. Frictional force is affected by the type of surface the object is in contact with, the weight of the object, and the presence of any lubricants.

How do we calculate the magnitude of normal and frictional forces?

The magnitude of normal force can be calculated by multiplying the mass of the object by the acceleration due to gravity. The magnitude of frictional force can be calculated using the formula μN, where μ is the coefficient of friction and N is the normal force.

Can normal and frictional forces be present at the same time?

Yes, both normal and frictional forces can be present at the same time when an object is in contact with a surface. In fact, frictional force is dependent on the presence of normal force, as it is calculated using the normal force.

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