Leo who has a mass of 70 kg stretches
the trampoline mat by 37 cm. Calculate the
elastic potential energy he puts into the
trampoline mat.
Answer
Spring constant
K=mgx=70∗9.810.37=1.85∗103N/mK=\frac{mg}{x}\\=\frac{70*9.81}{0.37}\\=1.85*10^3N/mK=xmg=0.3770∗9.81=1.85∗103N/m
So
elastic potential energy
U=kx22=1.85∗1030.37∗0.372=127.04JU=\frac{kx^2}{2}\\=\frac{1.85*10^30.37*0.37}{2}\\=127.04JU=2kx2=21.85∗1030.37∗0.37=127.04J
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