Solve for friction coefficient of block on sp

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SUMMARY

The discussion focuses on calculating the coefficient of kinetic friction for a block-mass system connected to a spring. The block has a mass of 1.60 kg and is attached to a spring with a spring constant of 152 N/m. The block is initially pulled back 34.6 cm and released, oscillating to a maximum displacement of 33.22 cm in the opposite direction. The difference in distances indicates energy loss due to friction, which can be quantified using the spring's potential energy and the work done against friction.

PREREQUISITES
  • Understanding of Hooke's Law and spring potential energy
  • Knowledge of kinetic friction and its coefficient
  • Familiarity with energy conservation principles in oscillatory motion
  • Ability to manipulate equations involving mass, spring constant, and displacement
NEXT STEPS
  • Calculate the potential energy stored in the spring using the formula PE = 1/2 k x^2
  • Determine the work done against friction using the difference in displacement
  • Learn how to derive the coefficient of friction from energy loss calculations
  • Explore the dynamics of oscillatory motion with damping effects
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory systems, as well as educators seeking to explain concepts of friction and energy conservation in practical scenarios.

tensor0910
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1. Homework Statement

A block of mass 1.60 kg is connected to a spring of spring constant 152 N/m which is then set into oscillation on a surface with a small coefficient of kinetic friction. The mass is pulled back 34.6 cm to the right and released. On the first right to left oscillation, the mass reaches 33.22 cm to the left

What is the coefficient of friction?2. Homework Equations
3. The Attempt at a Solution :

Pretty lost on this one. With 2 different distances, and a spring constant my first instinct was to use the total energy, and solve for V ( Fsp = 1/2k( xf - xi )

After that I am not sure...
 
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Write out your Relevant equations for springs. Write out your relevant equations for friction and work.

Why do you suppose the spring's motion to the left is less than its initial stretch to the right? What changed? By how much?
 

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