If you stand on a bathroom scale, the spring inside the scale compresses 0.50 mm, and it tells you your weight is 760 N. Now if you jump on the scale from a height of 1.0 m, what does the scale read at its peak?

Answer 1

mg=kx
k=mg/x=760/0.5•10⁻³=...
mgh=mv²/2
mv²/2=kx²/2.
mgh=kx²/2.
x=sqrt(2mgh/k)