Finding the coefficient of kinetic friction - problem with a mass on a plane

hollym123
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Homework Statement
A block of mass m=2.54kg sliding along a rough horizontal surface is traveling at a speed
vo= 10 m/s when it strikes a massless spring head-on (see Figure below) compressing the
spring. If the maximum compression is 10 cm and the spring constant is 25kN/m, what is
the coefficient of kinetic friction of the horizontal surface.

Diagram: https://imgur.com/a/EzW6rcH
Relevant Equations
Well since this has spring constants I guess I'd have 1/2 kx^2.
I don't really know how to begin this problem. I need some advice
 
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Do you know the work-energy theorem?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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