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bubblewrap
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Homework Statement
Spring with spring constant k=2000N/m has an object with mass 10kg attached to it. When it is pulled 0.1m away from the equilibrium state it starts oscillating and came to a stop. The coefficient of kinetic friction is 0.2 and the coefficient of static friction is 0.5. Find the time the object took to come to a stop and where it came to a stop.
Homework Equations
##F=-kx##
##F=μmg##
The Attempt at a Solution
##\frac{1}{2}kx_n^2=\frac{1}{2}kx_{n+1}^2+f_kx_n+f_kx_{n+1}##
This is the formula that I took by denoting the nth amplitude (because the amplitude keeps on decreasing) and ##mw^2x=kx-20## solving this gets me the period T but my friend says period T is ##2π\sqrt{m/k}## regardless as to whether the friction exists or not. Which is correct?