A block of mass m rests on a rough horizontal surface and is attached to a spring of stiffness k. The coefficients of both static and kinetic friction areμ. The block is displaced a distance x0 to the right of the unstretched position for the spring and released from rest. If the value for x0 is large enough, the spring force will overcome the maximum available static friction force and the block will slide toward the unstretched position of the spring with an acceleration a = μg− k/mx, wherexrepresents the amount of stretch (or compression) in the spring at any given location in the motion. Use the values m=10 kg, k=160 N/m, μ=0.44, and x0=720 mm and determine the final spring stretch (or compression) xfwhen the block comes to a complete stop. The distance xf will be positive if to the right (spring stretched) and negative if to the left (spring compressed). A block of mass m rests on a rough horizontal surface and is attached to a spring of stiffness k. The coefficients of both static andkinetic friction are u. The block is displaced a distance xo to the right of the unstretched position for the spring and released from rest.If the value for xo is large enough, the spring force will overcome the maximum available static friction force and the block will slidetoward the unstretched position of the spring with an acceleration a = ug - k/m x, where x represents the amount of stretch (orcompression) in the spring at any given location in the motion. Use the values m = 10 kg, k = 160 N/m, μ = 0.44, and x = 720 mm anddetermine the final spring stretch (or compression) x, when the block comes to a complete stop. The distance x will be positive if tothe right (spring stretched) and negative if to the left (spring compressed).Unstretched springpositionxxom

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block of mass m rests on a rough horizontal surface and is attached to a spring of stiffness k. The coefficients of both static and kinetic friction areμ. The block is displaced a distance x0 to the right of the unstretched position for the spring and released from rest. If the value for x0 is large enough, the spring force will overcome the maximum available static friction force and the block will slide toward the unstretched position of the spring with an acceleration a = μg− k/mx, wherexrepresents the amount of stretch (or compression) in the spring at any given location in the motion. Use the values

block of mass m rests on a rough horizontal surface and is attached to a spring of stiffness k. The coefficients of both static and kinetic friction areμ. The block is displaced a distance x0 to the right of the unstretched position for the spring and released from rest. If the value for x0 is large enough, the spring force will overcome the maximum available static friction force and the block will slide toward the unstretched position of the spring with an acceleration a = μg− k/mx, wherexrepresents the amount of stretch (or compression) in the spring at any given location in the motion. Use the values

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Question

A block of mass m rests on a rough horizontal surface and is attached to a spring of stiffness k. The coefficients of both static and kinetic friction areμ. The block is displaced a distance x₀ to the right of the unstretched position for the spring and released from rest. If the value for x₀is large enough, the spring force will overcome the maximum available static friction force and the block will slide toward the unstretched position of the spring with an acceleration a = μg− k/mx, wherexrepresents the amount of stretch (or compression) in the spring at any given location in the motion. Use the values m=10 kg, k=160 N/m, μ=0.44, and x₀=720 mm and determine the final spring stretch (or compression) x_fwhen the block comes to a complete stop. The distance x_fwill be positive if to the right (spring stretched) and negative if to the left (spring compressed).

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