Calculating Displacement with Friction and Air Resistance

AI Thread Summary
A car rolling down a hill reaches a velocity of 54.22 m/sec before a fan applies a drag force of 250N, alongside a friction coefficient of 0.1 from the tires. The initial calculation for distance traveled without drag resulted in 27.66m, derived from kinetic energy and friction work. To accurately calculate the stopping distance, both drag force and friction must be considered together, as they both oppose the car's motion. The total force acting against the car includes both the frictional force and the drag force, necessitating a combined approach for the calculations. Understanding how to integrate these forces will lead to the correct stopping distance.
ImAlwaysConfu
Messages
3
Reaction score
0

Homework Statement



A car is rolling down a hill, it has a velocity of 54.22m/sec at the bottom of the hill. When it reaches the bottom of the hill, a fan begins to blow on it causing a drag force of 250N. Also, the tires create a friction coefficient of .1. The car eventually stops due to the Drag Force/Friction. Calculate how far the car will travel before stopping.



I can't figure out how to take into account the drag force. I know that before taking drag force into account, the car can travel 27.66m. I'm not sure if that helps or not. All I need to know is what formula to use and where I implement the drag force! Also, my homework is due TOMORROW AT 3PM EST. Any help before then will be awesome.
 
Physics news on Phys.org
How did you come to the 27.66 m? show your calcs without the drag force and I'll help with implementing the drag force...
 
First, I calculated for the Kinetic Energy which would be 1/2mv^2. 1/2(1700kg)(54.22m/sec) = 46,087J. Next, I calculated the impact friction would have: f=u(coeficcient of friction)F .1(1700)(9.8) = 1,666N. Then I calculted the work that would be done: Work = F(displacement) 46087J = 1,666N(displacement) then I divided 46087 by 1666 and came with 27.66M. If this is incorrect, could you tell me how to do it please? Thanks!
 
I think if I tell you that you would realize how easy it is. So you have an object working to the right with kinetic energy = 0.5*mv^2 your answer here is incorrect, do the calculation again... Now what is the total forces working against the vehicle? friction and drag, draw a FBD for your vehicle... Your methodology is good and accurate just combine everything now... The total force on the car is not just friction?
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Trying to understand the logic behind adding vectors with an angle between them'

Thread 'Trying to understand the logic behind adding vectors with an angle between them'

My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
View full post »

Similar threads

Distance travelled by a car considering only air friction?
Replies
4
Views
2K
Launching a Projectile with Air Resistance
Replies
13
Views
3K
How to calculate the wind force acting on a water drop?
Replies
39
Views
3K
Coefficient of Friction question for a cart going down a wooden ramp
Replies
18
Views
3K
Final velocities with the inclusion of air resistance
Replies
4
Views
2K
Work, Gravity and air resistance question
Replies
11
Views
3K
How to Calculate Velocity with Air Drag and Given Variables?
Replies
6
Views
3K
Block on incline with air resistance, no friction
Replies
2
Views
2K
Projectile motion: Finding flight distance with air resistance
Replies
1
Views
2K
Projectile motion: Finding flight distance with air resistance
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top