Question

Question 7 1 pts When you shake the end of a string to produce a wave, what percentage of the energy you transfer to the string becomes kinetic energy associated with the motion of the string? What percentage becomes potential energy associated with the stretching of the string? 100% kinetic and 0% potential 0% kinetic and 100% potential 50% kinetic and 50% potential It is impossible to say. 0 O

Answer 1

When the end of a string is shaked, waves are produced which have harmonic motion. It has both the kinetic and potential energy which can be derived using the formula. If we consider the waves executing SHM, the potential energy is given by (1/2 mw^2x^2) and the kinetic is given by {1/2mw^2(A^2 - x^2)}, where m is the mass of the string particles, w is the angular frequency of oscillation, x is the instantaneous displacement from the mean position when executing SHM, A is the amplitude of the oscillation. From these equations, it is clear that we cannot possibly say how much energy is generated in kinetic form of in potential form. So the corecor ans is the last option, i.e, its impossible to say.