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?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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?

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