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Maven · Q3 coach

Query: Explain my mistake in choosing option C ( $2.8\text{ m/s}$ ) for Max Velocity of SHM.

✦ Maven AI CoachTutor

Your choice of C ( $v = 2.82\text{ m/s}$ ) indicates you forgot the factor of $\frac{1}{2}$ in the kinetic energy formula, computing $v = \sqrt{E/m}$ .

Correct Derivation: $E = \frac{1}{2} m v_{\text{max}}^2 \implies 4\text{ J} = \frac{1}{2} (0.5\text{ kg}) v_{\text{max}}^2$ $v_{\text{max}} = \sqrt{\frac{2E}{m}} = \sqrt{\frac{2(4)}{0.5}} = 4.0\text{ m/s}$

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