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:
[tex]\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[/tex]
