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Karnataka Board PUCPUC Science Class 11

Show that the Child’S New Kinetic Energy of Rotation is More than the Initial Kinetic Energy of Rotation. How Do You Account for this Increase in Kinetic Energy?

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Question

Show that the child’s new kinetic energy of rotation is more than the initial kinetic energy of rotation. How do you account for this increase in kinetic energy?

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Solution

`"Final Kinetic Energy of rotation"/"Initial Kinetic Energy of rotation"  = (1/2 I_2omega_2^2)/(1/2I_1omega_1^2) = (1/2 I_2(2piv_2)^2)/(1/2I_1(2piv_1)^2) = (I_2v_2^2)/(I_1v_1^2) = (2/5I_1xx(100)^2)/(2/5I_1xx(40)^2) = 2.5`

Clearly, final (K.E) becomes more because the child used his internal energy when he folds his hands to increase the kinetic energy

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