Pulling a Sled & Box up a Snowy Hill

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SUMMARY

This discussion focuses on calculating the tension in a rope pulling a 19.0 kg wooden sled with an 11.0 kg wooden box on a 22.0-degree snow-covered hill. The user attempted to apply the formula for tension, incorporating gravitational force and friction coefficients, resulting in a calculated force of 153 N. However, the discussion highlights the need for additional information, such as whether the sled is accelerating or moving at constant speed and the exact friction coefficients for snow on snow and wood on wood.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with basic physics equations for tension and friction
  • Knowledge of gravitational force calculations (9.80 m/s²)
  • Concept of angles in physics (22 degrees)
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  • Research the equations for tension in inclined planes
  • Learn about friction coefficients for different materials, specifically snow and wood
  • Study the effects of acceleration on tension in a rope
  • Explore the concept of forces acting on objects on inclined surfaces
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for practical examples of tension calculations in real-world scenarios.

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Homework Statement


A rope attached to a 19.0kg wood sled pulls the sled up a 22.0 degree snow-covered hill. A 11.0 kg wood box rides on top of the sled.


Homework Equations


I have no what the equation may be, I was just doing some research and came across this website plus others and didn't give the formula just some numbers strung together but I attempted it below but I do not know if it is right. My problem also didn't give me the co-efficients of snow on snow and wood on wood so I also took these from previous problems I found on the internet I'm not sure if they are always constant or not.

The Attempt at a Solution


(19kg+11kg)(9.80m/s2)(0.5+0.06)cos22degrees)
(30kg)(9.80m/s2)(0.56)cos22degrees
=153N
 
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Wommbatt said:

Homework Statement


A rope attached to a 19.0kg wood sled pulls the sled up a 22.0 degree snow-covered hill. A 11.0 kg wood box rides on top of the sled.


Homework Equations


I have no what the equation may be, I was just doing some research and came across this website plus others and didn't give the formula just some numbers strung together but I attempted it below but I do not know if it is right. My problem also didn't give me the co-efficients of snow on snow and wood on wood so I also took these from previous problems I found on the internet I'm not sure if they are always constant or not.

The Attempt at a Solution


(19kg+11kg)(9.80m/s2)(0.5+0.06)cos22degrees)
(30kg)(9.80m/s2)(0.56)cos22degrees
=153N

No part of this post refers to what you are trying to calculate?
 


I'm trying to calculate the tension.
 


Wommbatt said:
I'm trying to calculate the tension.

You have not given enough information.

Is the rope parallel to the slope?

Is the sled accelerating or moving at constant speed?

And yes, is there any friction? - it should be minimal, that is why we use a sled on snow.
 


Wommbatt said:
I'm trying to calculate the tension.

Your title for this thread is:

If the tension in the rope steadily increases, at what value of the tension does the

That might be a problem statement, but perhaps you didn't notice it stops mid sentence.

Perhaps if you typed the full statement you put in the title [but title cuts off after a certain number of characters] it would be clearer.
 

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