7. (15 points) A block of mass m = 6 kg starts from rest at the...

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7. (15 points) A block of mass m = 6 kg starts from rest at the top of a frictionless, icy circular quarter-pipe of radius R = 3 m. When let go, it slides down to the bottom of the slope and continues horizontally, until it encounters a rough patch of ice & gravel of length 1.5 m, with a coefficient of kinetic friction between the block and the patch equal to 0.333. It then continues on frictionless ice until it reaches a spring attached to a wall, of spring constant k = 110 N/m. As the block compresses the spring, it slowly comes to a rest. How much does the block compress the spring? (Show all your work) (It helps to draw a picture!) 7. (15 points) A block of mass m = 6 kg starts from rest at the top of a frictionless, icy circular quarter-pipe of radius R = 3 m. When let go, it slides down to the bottom of the slope and continues horizontally, until it encounters a rough patch of ice & gravel of length 1.5 m, with a coefficient of kinetic friction between the block and the patch equal to 0.333. It then continues on frictionless ice until it reaches a spring attached to a wall, of spring constant k = 110 N/m. As the block compresses the spring, it slowly comes to a rest. How much does the block compress the spring? (Show all your work) (It helps to draw a picture!)