How Do We Calculate Kinetic Friction and Net Force in a Donkey-Cart System?

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SUMMARY

The discussion centers on calculating the coefficient of kinetic friction and the net force in a donkey-cart system, where a 255 kg donkey exerts a horizontal force of 1940 N on a 520 kg cart moving at a constant velocity of 0.72 m/s. The key equations involved include the balance of forces in the system, specifically the frictional force and normal force. It is established that the 1940 N force applies solely to the cart, necessitating separate free body diagrams (FBDs) for accurate analysis of the donkey and cart forces.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with free body diagrams (FBDs)
  • Knowledge of kinetic friction and its coefficient
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the coefficient of kinetic friction using the formula: μk = Ff / Fn
  • Draw and analyze free body diagrams for both the donkey and the cart
  • Explore the relationship between net force and acceleration in a system
  • Review concepts of friction in different materials and conditions
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of force analysis in systems involving friction.

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Homework Statement


A 255[kg] donkey is pulling on a cart with a horizontal force of 1940[N]. The mass of the cart is 520[kg] and the cart is rolling at a constant velocity of 0.72[m/s] to the left.

Find: a) The coefficient of kinetic friction for the wheel’s bearings of the cart.
b) The NET force (magnitude and direction) exerted by the surface on the donkey


Homework Equations


Not sure about these:

X) -Fc/d + Ff = 0 <-- Friction has to be in the direction of the motion since that's what causes it to move, right?

Y) Fn-Fg = 0

I think that's it.

The Attempt at a Solution



I don't really know where to be begin. Is 1940 N the force on the whole system, donkey plus cart? Do I need a FBD for donkey and cart or just one with both? I'm lost, please help.
 
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CINA said:
I don't really know where to be begin. Is 1940 N the force on the whole system, donkey plus cart? Do I need a FBD for donkey and cart or just one with both?

Hi CINA! :smile:

1940 N is the force on the cart only.

For a) you need an FBD for the cart, for b) you need an FBD for the donkey. :smile:
 

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