2 blocks, a light string and kinetic friction

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SUMMARY

The discussion focuses on a physics problem involving two boxes connected by a light string on a frictionless surface. The first part calculates the acceleration and tension in the string, yielding an acceleration of 1.67 m/s² and a tension of 17 N. The second part addresses the scenario with kinetic friction, where the coefficient of kinetic friction is 0.10. The key equations involve Newton's Second Law, specifically the relationship between applied force, frictional force, and mass acceleration.

PREREQUISITES
  • Understanding of Newton's Second Law
  • Basic knowledge of friction coefficients
  • Ability to perform calculations involving acceleration and tension
  • Familiarity with free-body diagrams
NEXT STEPS
  • Study the effects of kinetic friction on motion in physics problems
  • Learn how to derive equations for tension in connected systems
  • Explore advanced applications of Newton's Second Law in multi-body problems
  • Practice solving problems involving friction on inclined planes
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of connected systems with friction.

Trista
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So, there are two boxes of fruit on a frictionless horizontal surface and are connected by a light string. m1=10kg, m2=20kg. A force of 50N is applied to the 20-kg box.
There are two questions to answer, I already answered a:
Determine the acceleration of each box, and the tension in the string:
a= F/m1+m2 = 50N/30kg = 1.7 m/s^2 and T=m1a ... T=10kg(1.7 m/s) = 17 N.
This is the one I can't figure out, b:
Repeat the problem for the case where the coefficient of kinetic friction between each box and the surface is 0.10. So, mu k = .10
I figured that the equation to use is Newtons 2nd Law, sum Fx=T-fk=m1a1. But I can't get it to work. I actually know the answer, but I don't know how to get there. Any help?:confused:
 
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Remember that the force of friction is always hold your force. So the sum of the forces will be:

Fp - Ffriction = ma

Find the friction and plug the number in.

Then you can find our answer
 
Thank You

got it. I appreciate your help.
 

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