|
Title: Force constant with 2 masses attached by a spring Post by: spliceofslife on Nov 1, 2012 Hi! i know this is a bio forum but if anyone has a change to check this quantum chem problem out id greatly appreciate it.
Two 3.5 g masses are attached by a spring has a vibrational frequency of 7.00 s-1. Calculate (a) the force constant of the spring; (b) the zero point energy; (c) the potential energy if the maximum displacement is 0.5 cm. My issue is the formula i have is k=[2(pi)(c)(w)]^2 x mu The omega(w) has a ~ above it which represents wave number(unites of 1/cm) The problem gives me 1/s units, im kinda confused how to approach this problem. maybe im using the wrong formula? Title: Re: Force constant with 2 masses attached by a spring Post by: bob12345123 on Nov 1, 2012 Not sure if this helps, but I found a similar question and an answer to go with it online.
Question Two 3.5 g masses are attached by a spring has a vibrational frequency of 7.00 s-1. Calculate (a) the force constant of the spring; (b) the zero point energy; (c) the potential energy if the maximum displacement is 0.5 cm. Answer a) Force constant k is given by: 2*pi*7 = sq rt[k/m] = sq rt[k/(0.00175)] m is reduced = 3.5/2 g = 1.75 g = 0.00175 kg k = 4*(pi^2)*0.00175 = 0.07 N/m b) zero point energy = 0.5*6.67*(10^-34)*7 = 2.33*10^-33 J c) Maximum potential energy = 0.5*k*0.005^2 = 8.6*10^-7 J |