A large fake cookie sliding on a horizontal surface is attached toone end of a h

Question

A large fake cookie sliding on a horizontal surface is attached toone end of a horizontal spring with springconstant k = 420 N/m; the other endof the spring is fixed in place. The cookie has a kinetic energy of22.0 J as it passes through the spring's equilibrium position. Asthe cookie slides, a frictional force of magnitude 9.00 N acts onit. (a) How far will the cookie slidefrom the equilibrium position before coming momentarily torest? (b) What will be the kineticenergy of the cookie as it slides back through the equilibriumposition?

Explanation / Answer

the maximum distance that the cookie can archived far awayfrom the spring is: x by using conservation of energy total kinetic energy =woek done by friction force + potentialenergy of the spring 22=9*x+k*x2/2 => x=0.3m (b)let the kinetic energy as it passes back through theequilibrium position is K k*0.32/2=9*0.3+K => K=16.2J

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