Finding kinetic coefficient of friction (pulley involved)

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SUMMARY

The discussion centers on calculating the coefficient of kinetic friction for a system involving a wooden block and a counterweight connected by a frictionless pulley. Given a wooden block mass of 0.1305 kg and a counterweight mass of 0.050 kg, the block travels 0.8 meters with a final velocity of 0.5767 m/s. The coefficient of kinetic friction can be determined using the equations of motion and frictional force calculations based on these parameters.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of friction and its coefficients
  • Knowledge of basic kinematics and dynamics
  • Ability to perform calculations involving mass, velocity, and distance
NEXT STEPS
  • Study the derivation of the kinetic friction formula
  • Learn how to apply Newton's second law in pulley systems
  • Explore the effects of mass and acceleration on frictional forces
  • Investigate practical applications of kinetic friction in real-world scenarios
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Physics students, mechanical engineers, and anyone interested in understanding dynamics and friction in pulley systems.

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Homework Statement



A wooden block with mass 0.1305kg is sitting on a horizontal dynamics track. The block is attached to a counterweight of mass 0.050kg by means of a frictionless pulley (the counterweight is hanging off of the table). The system is released from rest, and after traveling 0.8 meters, the velocity of the block is 0.5767 m/s. Calculate the coefficient of kinetic friction

Homework Equations



equationsused.jpg


The Attempt at a Solution



attemptatsolution.jpg


Can someone please help??
Thanks in advance :)
 
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