a child bounces on a pogo stick, compressing the spring 0.20m with every bounce. If the compressed spring stores 47j of elastic potential energy, what is the spring constant of the pogo stick?
The potential energy stored is given by (1/2)k*x^2, where k is the spring constant and x is the spring compression.
So: (1/2)k*0.2^2 = 47
k = 2*47/0.04 J/m
k = 2350 J/m
I should have given the units of k as J/m^2, or N/m