koolman Posted December 14, 2015 Share Posted December 14, 2015 A spring of mass m is pulled such that a given instant, velocity of both of its end is v in the opposite direction. Find the kinetic energy of the spring. I tried Lets find the kinetic energy of half of the spring. Its velocity changes from zero at center to v of its end. The average velocity of half of the spring is v/2 . The kinetic energy of half of the spring is 1/2 (m/2)(v/2)^2 The kinetic energy of the spring is (m/2)(v/2)^2 Hence my ans is mv^2/8 But ans is mv^2/6 Link to comment Share on other sites More sharing options...
swansont Posted December 14, 2015 Share Posted December 14, 2015 Do you want to find the average speed, or the average of the square of the speed, in order to find the energy? Link to comment Share on other sites More sharing options...
koolman Posted December 14, 2015 Author Share Posted December 14, 2015 Can you tell me how Link to comment Share on other sites More sharing options...
swansont Posted December 14, 2015 Share Posted December 14, 2015 Can you tell me how How do you normally find the average of a continuous function? http://mathcentral.uregina.ca/QQ/database/QQ.09.00/esther2.html Link to comment Share on other sites More sharing options...
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