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Two blocks with masses $2.0 k g$ and $3.0 k g$ are placed on a horizontal frictionless surface. A light spring is placed in a horizontal position between the blocks. The blocks are pushed together, compressing the spring, and then released from rest. After contact with the spring ends, the $3.0 k g$ mass has a speed of $2.0 m / s$ . How much potential energy was stored in the spring when the blocks were released?

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$15.0 J$

$3.0 J$

$6.0 J$

$12 J$

answer is A.

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Detailed Solution

$3 \times 2 = 2 \times v v = 3 m / s U = \frac{1}{2} m_{1} v_{1}^{2} + \frac{1}{2} m_{2} v_{2}^{2} = \frac{1}{2} \times 2 \times 3^{2} + \frac{1}{2} \times 3 \times 2 = 15 J$

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