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Oscillations

A particle of...

Question

A particle of mass $0.1 k g$ executes SHM under a force $F = (- 10 x) N$ . Speed of particle at mean position is $6 m / s$ . Then amplitude of oscillations is

0.6 m

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0.2 m

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0.4 m

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0.1 m

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Solution

The correct option is A $0.6 m$
$\begin{matrix} M = 0.1 K g f = - 10 x \Rightarrow k = 10 w = \sqrt{\frac{k}{m}} = \sqrt{\frac{10}{0.1}} = 10 V_{max} = 6 m / s \Rightarrow A = \frac{6}{10} = 0.6 m H e n c e, t h e o p t i o n A i s t h e c o r r e c t a n s w e r . \end{matrix}$

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