How Far Will a Car Slide Uphill vs Downhill When Braking?

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A car traveling uphill at 60 km/h on a 17° incline will slide approximately 16.34 meters after braking, while the same car traveling downhill will slide about 50.31 meters. The calculations involve converting speed from km/h to m/s and applying energy conservation principles. The equations used include kinetic energy, potential energy, and frictional force. The discussion confirms the correctness of the calculations after adjustments were made. Accurate results depend on proper unit conversion and application of physics principles.
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Homework Statement


Car is driving up the hill with speed of 60 km/h. Angle of incline is 17°. Seeing barrier on the road, the driver suddenly stops (breaks the wheels) and starts to slide. If koef. of fiction is \mu=0.6 what is the distance between breaking point and the point when cars stops. Solve the problem with the same parameters when the car is driving down the hill.

(I hope you understand the question, it is a little difficult for me to translate it...)

Homework Equations


Again, I solve it but I'm not sure if is correct..


The Attempt at a Solution



Uphill:
Ek = Ep + Fk*s
1/2 mv^2 = mgh + \mu*m*g*cos(\alpha)*s
(h = s * sin(\alpha))
...
s = 32,7 m

Downhill:
Ek + Ep = Fk*s
 
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domagoj412 said:

Homework Statement


Car is driving up the hill with speed of 60 km/h. Angle of incline is 17°. Seeing barrier on the road, the driver suddenly stops (breaks the wheels) and starts to slide. If koef. of fiction is \mu=0.6 what is the distance between breaking point and the point when cars stops. Solve the problem with the same parameters when the car is driving down the hill.

(I hope you understand the question, it is a little difficult for me to translate it...)

Homework Equations


Again, I solve it but I'm not sure if is correct..


The Attempt at a Solution



Uphill:
Ek = Ep + Fk*s
1/2 mv^2 = mgh + \mu*m*g*cos(\alpha)*s
(h = s * sin(\alpha))
...
s = 32,7 m

Downhill:
Ek + Ep = Fk*s

Your equations are correct. But the calculation appears to be incorrect. Probably you have not converted km/h into m/s. Try once again and finish both calculations.
 
Yes, I got the different result:

16.34 m for uphill and 50.31 m for downhill.
 
domagoj412 said:
Yes, I got the different result:

16.34 m for uphill and 50.31 m for downhill.

Your answer is correct now.
 
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