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A child's game consists of a block that attaches to a table with a suction cup, a spring connected to that block, a ball, and

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A child's game consists of a block that attaches to a table with a suction cup, a spring connected to that block, a ball, and a launching ramp. By compressing the spring, the child can launch the ball up the ramp. We will define the floor to be where y = 0 (i.e. where gravitational potential energy is zero). Assume that both kinetic friction and air resistance are negligible here. The spring has a spring constant k = 1000.0 N/m. The spring is compressed a distance 0.040 m in order to launch the ball. The ball has a mass m = 0.055 kg. The ramp raises a height 0.015 m above the table. The top of the table is 1.12 m above the floor. The angle 0 that the ramp makes with the table is 30. H

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