A typical steel B-string in a guitar resonates in its fundamental frequency at 2

Question

A typical steel B-string in a guitar resonates in its fundamental frequency at 240 Hz. The length of the string is m. What is the wavelength of the fifty harmonic of the guitar string described above? A block of 10 kg slides on a smooth horizontal surface at m/s and collides with a spring attached to a wall as it is shown in the figure. The elastic constant of the spring is 330 N/m. The spring reaches a maximum compression first, and then it returns to its original length and throw back the block with the same speed of 23m/s. Determine the time block was in contact with the spring. 10-if the pressure of an ideal gas is tripled while its volume is held constant, by what factor does its internal energy change? Bonus- A man with a mass of 60 kg stands at the end of s diving board, depressing it by m. What would be the period of his motion if he was to jump lightly in rhythm with the harmonic motion of the diving board?

Explanation / Answer

Thanks for attaching.
We know that U1 = mCVT1 and U2 = mCVT2
We know that PV= mRT
therefore P/T = C since m, R and V is constant.
P1/T1 = P2/T2   (P2 = 3P1)
therefore T2 = 3T1
Therefore U2 = 3U1
Change in Internal energy = U2 - U1 = 2U1

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