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22/ \(\omega A=8\pi\)
\(A^2=x^2+\dfrac{v^2}{\omega^2}\Leftrightarrow A^2=3,2^2+\dfrac{\left(4,8\pi\right)^2}{\omega^2}\)
\(\Leftrightarrow\omega^2A^2=3,2^2\omega^2+23,04\pi^2\Leftrightarrow64\pi^2=3,2^2.\omega^2+23,04\pi^2\Leftrightarrow\omega=2\pi\left(rad/s\right)\)
\(\Rightarrow f=\dfrac{\omega}{2\pi}=\dfrac{2\pi}{2\pi}=1\left(Hz\right)\Rightarrow D.1Hz\)
23/ \(\omega A=20;\omega^2A=80\Rightarrow\left\{{}\begin{matrix}\omega=4\left(rad/s\right)\\A=5cm\end{matrix}\right.\)
\(\Rightarrow v=\omega\sqrt{A^2-x^2}=4.\sqrt{5^2-4^2}=12\left(cm/s\right)\Rightarrow A.12cm/s\)
Ban đầu: \(l_0;k_0\)
\(\dfrac{W_t}{W}=\dfrac{\dfrac{1}{2}kx^2}{\dfrac{1}{2}kA^2}=\dfrac{64}{100}=\dfrac{16}{25}\Rightarrow W_t=\dfrac{16}{25}W\)
\(W_d=\dfrac{1}{2}mv^2=\dfrac{9}{25}W\)
Lúc sau: \(l=\dfrac{3}{4}l_0;k=\dfrac{4}{3}k_0\)
\(\Rightarrow W_t'=\dfrac{3}{4}W_t=\dfrac{3}{4}.\dfrac{16}{25}W=\dfrac{12}{25}W\)
\(W_d'=W_d\)
\(\Rightarrow W'=W_t'+W_d'=\dfrac{12}{25}W+\dfrac{9}{25}W=\dfrac{21}{25}W=\dfrac{21}{25}.\dfrac{1}{2}.18.0,1^2=0,0756J=75,6mJ\)
47/B
49/B