Modeling the Motion of a Car Against Constant Frictional Resistance

In summary, the problem involves finding the distance traveled by a motor car with a power output of 2500W against a constant frictional resistance of 180N in a time of 1 minute. The solution involves using the equations P = W/t and W = Fs, as well as considering the net force on the car and its constant speed. However, if the car is moving at its maximum speed, the net force will be equal to 0 and the motor will have to apply a force to counter the frictional resistance. This problem can also be approached using differential equations to describe the motion of the car.
  • #1
grae
3
0

Homework Statement


A motor car with a power output of 2500W is moving against a constant frictional resistance of 180N. What distance does it travel in 1 minute on a horizontal road?
P = 2500W
FF = 180N
t = 60s
s = ?



Homework Equations


P = W/t
W = Fs
Fnet = FA - FF

The Attempt at a Solution


P = W/t
2500= Fs/60
s = 150000/F
??I don't know where to go from here as I only know the frictional force??
 
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  • #2
Hi grae. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

s = 150000/F looks right.

The data seems to imply that the car is traveling at a constant speed. (If this were not the case, you would need to know the car's weight so you could determine its acceleration.)

You don't happen to know the text-book's answer?
 
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  • #3
Yes, my teachers answer and working is attached to this msg however he often gets these questions wrong. He has assumed that the net force is 180N which is where I am lost
 

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  • #4
It's traveling at a constant speed. Its engine has to overcome only friction.

The question should have stated that it's a constant speed situation.

Are you okay now?
 
  • #5
Doesn't that make the net force equal to 0?
 
  • #6
Yes, the net force on the car would be 0 if it's moving at a constant velocity and the net work done on the car is therefore also equal to 0. However, the motor has to apply a force to counter the frictional resistance which puts a limit on the maximum speed of the car (P=Fv)

Essentially, the problem having you solve for the distance traveled by the car when it's moving at its maximum speed for the power output listed.
 
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  • #7
grae said:

Homework Statement


A motor car with a power output of 2500W is moving against a constant frictional resistance of 180N. What distance does it travel in 1 minute on a horizontal road?
If you are into differential equations, it might be instructive to work out the DE describing this scenario. Let the mass of the car be m. You can then follow the speed of the vehicle from a standing start, right up until it approaches terminal velocity.

Hint: The energy from the power unit equates to kinetic energy of the vehicle + work done against friction.
 

Related to Modeling the Motion of a Car Against Constant Frictional Resistance

1. What is frictional force?

Frictional force is a type of force that opposes the motion of objects when they are in contact with each other. It is caused by the roughness of surfaces and can be affected by factors such as the type of material, weight, and speed of the objects.

2. What are the types of frictional force?

There are three types of frictional force: static friction, kinetic friction, and rolling friction. Static friction occurs when two objects are at rest and trying to move past each other. Kinetic friction happens when two objects are already in motion and rubbing against each other. Rolling friction is the force that resists the motion of an object rolling on a surface.

3. How does frictional force affect motion?

Frictional force can either help or hinder motion. It can help by providing a grip between surfaces, such as when we walk or drive a car. However, it can also hinder motion by creating resistance and slowing down objects, such as when we drag a heavy object across the ground.

4. How can we reduce frictional force?

Frictional force can be reduced by using lubricants, such as oil or grease, between surfaces. This reduces the roughness and allows objects to slide past each other more easily. Another way to reduce friction is by using smooth and polished surfaces, which have less contact points and therefore less resistance.

5. What are some real-life examples of frictional force?

Frictional force is present in many everyday activities and objects. Some examples include walking or running, riding a bike, using brakes on a vehicle, and writing with a pen or pencil. It is also essential for activities like playing sports, where grip and control are necessary.

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