5. GRR 2"6-85 A spring has a spring constant k. The spring is near the base of a ramp inclined at an angle 0 above the horizontal. A block of mass m is pressed against the spring, compressing it a distance *; from its equilibrium position. The block is then released. The horizontal surface and the inclined surface are smooth. The block is not attached to the spring. a) What is the maximum distance it travels up the inclined plane? Write the answer in terms of the quantities given in the problem (k, 0, m and/or x] and, perhaps, constants (e.[, [, n, 14 ..). b) Calculate a numerical value for the maximum distance it travels up the inclined plane if k = 40.0 N/m, 8 = 30.09, m = 0.500 kg and x = 20.0 cm. (0.326 m) c) When the block slides back down the inclined plane and collides with the spring, what is the maximum compression of the spring? m6. "Y9, 7-95 A piece of wood of mass m slides on the surface shown in the figure. All parts of the surface are frictionless, except for a 30.0 m long rough flat segment in the bottom, where the coefficient of kinetic friction with the wood is . The wood starts from rest a vertical distance yi above the bottom. a) How far to the right of the left edge of the rough segment will the wood eventually come to rest? Write the answer in terms of the quantities given in the problem (m, . and/or y) and, perhaps, constants (e.[., [, n, N ...). b) Calculate a numerical value for the distance to the right of the left edge of the rough segment that the wood eventually comes to rest if m = 2.00 kg, . = 0.200, and y; = 4.00 m. (20.0 m) c) How much work is done by friction by the time the wood stops? {-78.5 J) m Vi Rough bottom 30.0 m