How to Approximate the Force When a Leashed Dog Runs?

  • Thread starter Thread starter Lorens
  • Start date Start date
  • Tags Tags
    Impact Running
Click For Summary

Homework Help Overview

The discussion revolves around approximating the force experienced by a dog owner when a leashed dog accelerates to a speed of 20 m/s and then experiences a sudden stop. The problem involves concepts from mechanics, specifically force, mass, and energy considerations.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between force and deceleration, questioning how to approximate the time or distance over which the force acts. There is discussion about using the work-energy theorem and considering worst-case scenarios for the impact.

Discussion Status

The discussion is ongoing, with participants raising questions about assumptions regarding the dog's stopping conditions and the specifics of the "tweak" experienced by the owner. Some have suggested approximations for distance and time, while others are uncertain and seeking further input.

Contextual Notes

There is uncertainty about the exact parameters needed for calculations, such as the time of deceleration and the distance moved during the impact. Participants are also considering the physical constraints of holding the leash and the dynamics involved.

Lorens
Messages
29
Reaction score
0
My problem is as follow!

A 45kg dog that is leached, starts to run and the line is all out when he have reach the speed of 20 m/s. The owner will experience a tweak. How do you approximate, this tweak?

My thinking is that it depend on how fast the deceleration are, according to this formula f=ma. But don’t know how to do that approximation I mean does it take 1 sec or two sec; am I missing something?

Then you can think in forum of energy (m*v^2)/2, but I don’t know were to go from there.

I am grateful for any tips!

Kindly Paul-Martin
 
Physics news on Phys.org
Do we assume that the dog is brought to a stop? This is what I assume since no other "final speed" for the dog is given.

By "tweak" you must mean force? If so, you can't find this force unless you know one of the following: how much time does the "tweak" take, or how much distance does the dog/master move during the tweak.

You can make an approximation of the distance: let's say the tweak pulls the owners arm out to full length. How far will that be?

From this point consult the work-energy theorem which states that the net work done on an object equals its change in kinetic energy.
 
You ask some good questions, i don’t know, can’t test this, I just have to guess. It is a worst case scenario. So I am asking you guys to help me with the guessing.

Worst case scenario 1 guessing

1. A kid is holding the leach, with the weight of 40kg
2. How long does he move during impact, Unknown
3. What is the force which affect him f=-20*40/(t) t=time for deceleration to zero. set t=0.1...

I would be happy if anyone was better then me with the guessing!
 
You can make an approximation of the distance: let's say the tweak pulls the owners arm out to full length. How far will that be?

It wouldn’t be the full length, your hand would already be stretched as you are holding the leach, you would probably move in an angel instead. Also the power wouldn’t be evenly distributed, moving the hand would probably consume like 0.5% of the energy, after that we are in the same spot as before.
 

Similar threads

Replies
11
Views
2K
Replies
5
Views
3K
  • · Replies 31 ·
2
Replies
31
Views
4K
  • · Replies 29 ·
Replies
29
Views
5K
Replies
11
Views
6K
Replies
38
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 33 ·
2
Replies
33
Views
3K
  • · Replies 1 ·
Replies
1
Views
7K
  • · Replies 3 ·
Replies
3
Views
2K