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A $5\text{ kg}$ ball is pushed back against a large horizontally-oriented, massless 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.

Which of the following values is the speed of the ball as it leaves contact with the spring?

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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