Figure shows two equal masses of mass m hanging from a single long steel wire hung across two walls. If the ratio of the lengths of the segments equals $L_1/L_2 = 1/2$, then the ratio of the velocities $v_1/v_2$ of the transverse waves in each segment equals
\(v_1/v_2 = 1/\sqrt{2}\)
\(v_1/v_2 = 1/\sqrt{2}\)
\(v_1/v_2 = \sqrt{2}\)
\(v_1/v_2 = 2\)
2. (2 points)
A wave pulse travels along the length $L_2 = 2m$ in 24ms. If $L_1 = 1m$ and the steel wire weighs 40g, what is m?
\(m = 18g.\)
\(m = 30g.\)
\(m = 12g.\)
\(m = 24g\)
3. (2 points)
A taut rope has a mass of 0.09kg and length 3.6m. What power $P_0$ must be supplied to the rope so as to generate sinusoidal waves having an amplitude of 0.1m and a wavelength of 0.5m and traveling at 30ms$^{-1}$
\(P_0 = 540 Js^{-1}\)
\(P_0 = 1280 Js^{-1}\)
\(P_0 = 4320 Js^{-1}\)
\(P_0 = 2500 Js^{-1}\)
4. (1 points)
By what factor is the required power $P$ in the previous problem increased if the velocity is doubled by increasing the tension keeping the amplitude and the wavelength the same:
\(P = 2P_0,\)
\(P = 8P_0,\)
\(P = 3P_0,\)
\(P = 27P_0\)
