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CBSE Class 11-science Answered

(a)  On what factors, does the energy of simple harmonically vibrating particle depend? (b)  A spring of force constant k is broken into n equal parts (n>0). What will be the spring factor of each part?
Asked by Topperlearning User | 18 May, 2015, 02:57: PM
answered-by-expert Expert Answer

(a)  Mass, frequency and amplitude.  In fact, the energy (E)  of a simple harmonically vibrating particle is related to the above parameters as:

begin mathsize 12px style left parenthesis straight i right parenthesis space straight E proportional to straight m left parenthesis ii right parenthesis space straight E proportional to straight n squared left parenthesis iii right parenthesis space straight E proportional to straight A squared end style

(b) The spring factor of each of the broken n parts is given as

begin mathsize 12px style 1 over straight K equals 1 over straight k plus 1 over straight k plus... plus 1 over straight k equals straight n over straight k therefore straight k equals nK end style

Answered by | 18 May, 2015, 04:57: PM

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