A laboratory spring has a force constant of

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

A laboratory spring has a force constant of 2.5×105 dyne cm−12.5\times10^{5}\,\text{dyne}\,\text{cm}^{-1}. A mass of 250 g250\,\text{g} is attached to its free end and set into small vertical oscillations. (i) Convert the given force constant to SI units. (ii) Calculate the natural angular frequency of oscillation. (iii) Hence find the linear frequency (in hertz). (iv) How much time will the mass take to complete 20 full oscillations?

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