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Scales that measure weight have springs inside of them that allow for measurement of the normal force the scale exerts on the person (or object)

Scales that measure weight have springs inside of them that allow for measurement of the normal force the scale exerts on the person (or object) as they stand (or lie) on the scale. If you stand on a bathroom scale, the spring inside the scale compresses 0.70mm and the scale says your weight is 680N. Now if you jump on the scale from a height of 0.8m, what does the scale read at its peak weight? Assume no energy is lost as thermal energy due to air resistance or friction. Hint: you will need the quadratic equation. Use conservation of energy rather than forces and a free body diagram.

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