hello can you please shwo steps and answer? i work through them backwards becaus

Question

hello can you please shwo steps and answer? i work through them backwards because i dont understand where teh numbers come from on these. thank you. A mass m = 15.0 kg rests on a frictionless table and accelerated by a spring with spring constant k = 5126.0 N/m. The floor is frictionless except for a rough patch. For this rough path, the coefficient of friction is ?k = 0.42. The mass leaves the spring at a speed v = 3.3 m/s. 1) How much work is done by the spring as it accelerates the mass in J and how far was the spring stretched from its unstreched length?

Explanation / Answer

b)total energy =spring energy +kinetic energy

(1/2)Kx2=(1/2)mV2

x = V(m/k)

x=3.3*(15/5126) =0.1785m

a)work done by the spring =(1/2)Kx2 =(1/2)*5126*0.17852 =81.7J

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