A particle is moving on \( X \)-axis and has potential energy \( U=2-20 x+5 x^{2} \) joule, wher...
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A particle is moving on \( X \)-axis and has potential energy \( U=2-20 x+5 x^{2} \) joule, where \( x \) is position. The particle is released at \( x=-3 \). If the mass of the particle is \( 0.1 \mathrm{~kg} \), then the maximum velocity (in \( \mathrm{ms}^{-1} \) ) of the particle is \( 25 \beta \). If amplitude is \( 5 \mathrm{~m} \), then find the value of \( \beta \).
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