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A $5\text{ kg}$ ball is pushed back against a large horizontally-oriented spring ($k=1000\text{ N/m}$), until the spring is compressed $50\text{ cm}$ from its initial equilibrium length. Then the ball and spring are released from rest to launch the ball horizontally.

What is the "launch" speed of the ball (the speed as it passes back through equilibrium)?

A

$3.2\text{ m/s}$

B

$7.1\text{ m/s}$

C

$10\text{ m/s}$

D

$50\text{ m/s}$

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