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A 5 kg coll...

Question

A $5$ kg collar is attached to a spring of spring constant $500 N m^{- 1}$ . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by $10$ cm and released. The maximum acceleration of the collar is

A

5 m s^{- 2}

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B

10 m s^{- 2}

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C

15 m s^{- 2}

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D

20 m s^{- 2}

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Solution

The correct option is C $10 m s^{- 2}$
Maximum acceleration
$a_{m a x} = ω^{2} A = \frac{k}{m} A$

$\frac{500 N m^{- 1}}{5 k g} \times 0.1 m = 10 m s^{- 2}$

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