Se da:
m1=0,6g=0,0006kg
V1=√10Hz
m2=1,5g=0,0015kg
k=?N/m
V2=?Hz
Formule:
[tex]T1=2 \pi \sqrt{ \frac{m1}{k} } \\
T1^{2}=4 \pi ^{2} \frac{m1}{k}\\
\frac{1}{V1^{2}}= 4 \pi ^{2} \frac{m1}{k}\\
k=4 \pi ^{2}*m1*V1^{2}\\
T2=2 \pi \sqrt{ \frac{m2}{k} }\\
\frac{1}{V2}=2 \pi \sqrt{ \frac{m2}{k} }\\
V2= \frac{1}{2 \pi \sqrt{ \frac{m2}{k} }} \\
Calcule:\\
k=4*3,14^{2}*0,0006* \sqrt{10}^{2}= 0,236 \frac{N}{m} \\
V2= \frac{1}{2*3,14* \sqrt{ \frac{0,0015}{0,236} } }= 2Hz\\[/tex]
