Solve for friction coefficient of block on sp

AI Thread Summary
To determine the coefficient of friction for a block connected to a spring, the problem involves analyzing the oscillation of a 1.60 kg mass on a surface with kinetic friction. The mass is initially pulled back 34.6 cm and reaches only 33.22 cm on the opposite side during its first oscillation. The total energy approach is suggested, using the spring's potential energy equation, but further clarification on relevant equations for both springs and friction is needed. The discussion raises questions about the difference in distances traveled by the mass, indicating that energy loss due to friction affects the spring's motion. Understanding these dynamics is crucial for calculating the coefficient of friction accurately.
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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