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The total energy of a body of mass 100 g...

The total energy of a body of mass 100 g performing SHM is `0.2` J. Find its maximum speed .

Text Solution

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Data : `m = 0.1 kg , E = 0.2 J`
The total energy of the body,
` E = 1/2 momega^(2) A^(2) = 1/2 m (omegaA)^(2)`
But `omegaA` = maximum speed `(v_("max"))`
` :. v_("max") = sqrt((2E)/m) = sqrt((2 xx 0.2)/(0.1))`
= 2 m/s
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