Question

23. A pogo stick has a spring with a force constant of 2.50×104N/m , which can be compressed 12.0 cm. To what maximum height can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of 40.0 kg? Explicitly show how you follow the steps in the Problem-Solving Strategies for Energy.

Answer 1

Answer:

The maximum height the child can jump on the stick

h=0.459m

Explanation:

Energy conservation

Energy kinetic = Work

The energy the child do get the height jump is proportional at the distance and the consta can be compressed so:

$\frac{1}{2}*k*x^{2} =m*g*h\\k=2.50x10^{4} \frac{N}{m}\\x=12cm*\frac{1m}{100cm}=0.12m\\h=\frac{k*x^{2} }{2*m*g}\\h=\frac{2.50x10^{4}\frac{N}{m}*(0.12m)^{2} }{2*40kg*9.8\frac{m}{s^{2}}}\\h=\frac{360\frac{N}{m}m^{2} }{784N}\\h=0.459m$