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You are designing a loading machine where a spring is used to launch crates up onto a ramp as shown. The ramp has rollers 50

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You are designing a loading machine where a spring is used to launch crates up onto a ramp as shown. The ramp has rollers 50 that the boxes can move with very little friction. The boxes leave the spring before reaching the curved part of the ramp. The height of the ramp is h and the mass of the crates is M. The spring has spring constant k and is initially compressed a distance Ax. The boxes must have a speed greater than or equal to Vf at the top of the ramp. Let: h = 2.6 kg, k = 1,249 N/m, Ax = 0.50 m, Vf = 2.06 m/s What is the largest mass for a box that can be loaded using this system? Give your answer in kg to at least three signicant digits. k

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