A step-by-step solution please. Thank you. A work W o is required to stretch a c
ID: 1762584 • Letter: A
Question
A step-by-step solution please. Thank you. A work Wo is required to stretch a certainspring 2 cm from its equilibrium position.a) How much work is required to stretch the spring 1 cm fromequilibrium? b) Suppose the spring is already stretched 2 cm fromequilibrium. How much additional work is required to stretch it to3 cm from equilibrium? A step-by-step solution please. Thank you. A work Wo is required to stretch a certainspring 2 cm from its equilibrium position.
a) How much work is required to stretch the spring 1 cm fromequilibrium? b) Suppose the spring is already stretched 2 cm fromequilibrium. How much additional work is required to stretch it to3 cm from equilibrium?
Explanation / Answer
Given that the elaongation of spring is x = 0.02m ------------------------------------------------------------- The work done is Wo =(1/2)Kx2 K= 2Wo / x2 (a) The work done required to stretch d =0.01mis W1= (1/2)Kd2 = (1/2)[ 2Wo / x2 ]d2 =Wo*(d /x )2 = Wo/4 (b) The work done required to stretch d =0.03m is W3= (1/2)Kd2 = (1/2)[ 2Wo / x2 ]d2 =Wo*(d /x )2 = 2.25Wo Then the additional workdone is = W3 - Wo = 1.25 Wo =Wo*(d /x )2 = Wo/4 (b) The work done required to stretch d =0.03m is W3= (1/2)Kd2 = (1/2)[ 2Wo / x2 ]d2 =Wo*(d /x )2 = 2.25Wo Then the additional workdone is = W3 - Wo = 1.25 Wo W3= (1/2)Kd2 = (1/2)[ 2Wo / x2 ]d2 =Wo*(d /x )2 = 2.25Wo Then the additional workdone is = W3 - Wo = 1.25 Wo =Wo*(d /x )2 = 2.25Wo Then the additional workdone is = W3 - Wo = 1.25 WoRelated Questions
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