How Accurate Is the Calculated Friction Force for a Sled Sliding Down a Hill?

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Homework Help Overview

The discussion revolves around calculating the average friction force acting on a sled sliding down a slope. The sled has a mass of 60 kg, descends a 500-meter slope from a height of 10 meters, and reaches a final speed of 8 m/s. Participants are examining the calculations related to forces involved in this scenario.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are analyzing the calculation of the average friction force and questioning the use of the height of the slope in the context of the problem. There is a focus on the direction of forces, including the gravitational force and the calculated propulsive force.

Discussion Status

The discussion is ongoing, with participants raising questions about the correctness of the calculations and the assumptions made regarding the forces acting on the sled. Some guidance has been offered regarding the interpretation of the forces involved, but no consensus has been reached.

Contextual Notes

Participants have noted that the height of the slope has not been utilized in the calculations, which may be relevant to understanding the overall dynamics of the sled's motion.

AlexPilk
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Homework Statement


The length of a slope is 500 meters and it's height is 10 meters. 60 kg sled went down the slope. Find the average friction force if it's speed in the end = 8 m/s (the starting speed = 0)

Homework Equations


Ft=mv-mv0
t=S/v

The Attempt at a Solution


Ft=mv-mv0=60*8=480
Average speed = (8+0)/2=4
t=500/4=125
F=480/125=3.84 N
Weight=mg=600
600-friction=3.84
friction=596.16 N

Is it correct?
 
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AlexPilk said:
F=480/125=3.84 N
Weight=mg=600
600-friction=3.84
You have calculated a propulsive force (F), right?
What direction does that act in?
What direction does mg act in?
(You might have noticed that you have not used the 10m height.)
 
haruspex said:
You have calculated a propulsive force (F), right?
What direction does that act in?
What direction does mg act in?
(You might have noticed that you have not used the 10m height.)
1.I think so, it's the force that accelerates the sled
2.Downwards
3. I do not really see use for the height of the slope

It looks like it makes sense, since I know the mass and acceleration I can calculate the overall force F, and friction works against mg, so the equation is correct, right?
 
AlexPilk said:
2.Downwards
As in vertically down? You obtained it by dividing momentum by time. What direction was the momentum in?
 

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