the minimum distance between me and the surface of the water 6. You and a friend
ID: 1875740 • Letter: T
Question
the minimum distance between me and the surface of the water 6. You and a friend get jobs at a warehouse where you must carry boxes, each having a mass of 2.5 kg, up to a second floor that is a little less than 4 m above the ground floor. You find a large spring having a spring constant of 550 N/m and you realize that you could use this spring to shoot the boxes up to the floor above. You position the spring vertically on the ground floor in an open area of the stairwell. You then place a box on top of the spring and compress the spring downward. When you release the spring, the box shoots straight upwards a distance of 4 m, where your friend can reach out and grab it. By what distance must the spring be compressed for this scheme to work? 0@ ) eExplanation / Answer
Applying work energy theorem,
Work done by spring + work done by gravity = change in KE
k d^2 /2 - m g (d + 4) = 0 - 0
275 d^2 - 24.5 d - 98 = 0
d = 0.643 m .....Ans
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