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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

The total energy of a body of mass 2 kg performing S.H.M. is 40 J. Find its speed while crossing the center of the path.

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प्रश्न

The total energy of a body of mass 2 kg performing S.H.M. is 40 J. Find its speed while crossing the center of the path.

संख्यात्मक
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उत्तर

Given:

m = 2 kg,

T.E. = 40 J

To find:

Speed while crossing the mean position (vmax) = ?

Formula:

T.E. = `1/2 mv_"max"^2`

Calculation:

From formula,

`v_"max" = sqrt((2 xx T.E.)/m)`

= `sqrt((2 xx 40)/2)`

= `2 sqrt 10`

= 2 × 3.162

= 6.324 m/s

The speed of the particle while crossing the mean position is 6.324 m/s.  

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पाठ 5: Oscillations - Short Answer I

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