4) Consider a macroscopic spring with a typical force constant (say for a spring that closes the latch of a small cabinet door) of k=9N/m, with a ball on the end of mass m=3g. a) If Planck's constant had the value of 1.00E5Js, what would the maximum velocity be in the minimum excited energy state, for which n=1 ? In other words, apply Planck's hypothesis that the energy of the oscillations can only take on integer values and assume that the energy of oscillation has one "packet" of energy in it, i.e. n=1, then use the formula from Planck's hypothesis for blackbody radiation oscillations: E=nhv. Recall from Physics that the frequency of a ball-on-a-spring is given by v=(1/2)(k/m)0.5