Suppose you create a pulse by moving the free end of a taut string up and down o

Question

Suppose you create a pulse by moving the free end of a taut string up and down once with your hand beginning at t = 0. The string is attached at its other end to a distant wall. The pulse reaches the wall at time t. Which of the following actions, taken by itself, decreases the time interval that it takes for the pulse to reach the wall? (Select all that apply.) using a string of the same linear mass density but under increased tension moving your hand a lesser distance up and down in the same amount of time using a lighter string of the same length and under the same tension moving your hand more quickly, but still only up and down once by the same amount using a string of the same linear mass density but under decreased tension moving your hand a greater distance up and down in the same amount of time moving your hand more slowly, but still only up and down once by the same amount using a heavier string of the same length and under the same tension

Explanation / Answer

Using a lighter string of the same length under the same tension Using the same string of the same length but under more tension Explain how each of the following (keeping everything else the same) would impact the energy transfer rate of a wave on a string: A) reducing the mass density of the string B) doubling the wavelength C) doubling the tension D) doubling the amplitude Recall that P=1/2 µ?^2A^2v A] reduces the power (linearly), assuming that the velocity is unchanged B] irrelevant to rate of energy transfer C] increasing tension increases velocity and therfore power (in a sqrt(tension) fashion) D] increases the rate of energy transfer a lot (quadratically)

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