A package of mass m = 4.00 kg is released on a 53.1° incline, a distance D = 5.00 m from a long spring with force constant 1.30 x 102 N/m that is attached at the bottom of the incline (Figure 1). The coefficients of friction between the package and incline are μ = 0.400 and k = 0.200. The mass of the spring is negligible. (a) What is the maximum compression of the spring? (b) The Figure m D 1 of 1 Part F Find the magnitude of the friction force that acts on the package. Assume for the remainder of this problem that the +x direction points down along the surface of the incline, and the +y direction points away from the incline perpendicularly. Express your answer with the appropriate units. ► View Available Hint(s) fk = Submit μA Value Units ? Review | Constants help
A package of mass m = 4.00 kg is released on a 53.1° incline, a distance D = 5.00 m from a long spring with force constant 1.30 x 102 N/m that is attached at the bottom of the incline (Figure 1). The coefficients of friction between the package and incline are μ = 0.400 and k = 0.200. The mass of the spring is negligible. (a) What is the maximum compression of the spring? (b) The Figure m D 1 of 1 Part F Find the magnitude of the friction force that acts on the package. Assume for the remainder of this problem that the +x direction points down along the surface of the incline, and the +y direction points away from the incline perpendicularly. Express your answer with the appropriate units. ► View Available Hint(s) fk = Submit μA Value Units ? Review | Constants help
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Step 1: Know the basic concepts:
VIEWStep 2: Draw a diagram and find the expression for the normal force:
VIEWStep 3: (f) Calculate the friction force:
VIEWStep 4: Find the initial total energy of the system.
VIEWStep 5: Find the total final energy of the system:
VIEWStep 6: (g) Calculate the maximum distance to which the spring is compressed;
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