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A block of mass m = 3.5 kg is attached to a spring with spring constant k = 780 N/m



A block of mass m = 3.5 kg is attached to a spring with spring constant k = 780 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 28° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. In the initial position, where the spring is compressed by a distance of d = 0.19 m, the mass is at its lowest position and the spring is compressed the maximum amount. Take the initial gravitational energy of the block as zero.  

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a What is the block's initial mechanical energy, E_0 in J?  

b If the spring pushes the block up the incline, what distance, L in meters, will the block travel before coming to rest? The spring remains attached to both the block and the fixed wall throughout its motion.

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