Physics question about a bathroom scale?

Question

If you stand on a bathroom scale, the spring inside the scale compresses 0.60mm, and it tells you your weight is 710 N. Now if you jump on the scale from a height of 1.0m, what does the scale read at its peak?

Answer 1

The weight and compression gives you the spring constant of the scale. Jumping from 1 m means that the scale must absorb the potential energy you had at that point. Sicne work is equal to force times distance, the potential energy is equated to k*x^2.