A 2.0-kg mass is attached to a vertical spring. The mass is held in place with the spring relaxed, and then released from rest. As the mass falls, it stretches the spring. If the spring has a force constant of 100 N/m, how fast is the mass moving after is has descended 3.0 cm? Ignore air resistance.

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Author:Raymond A. Serway, John W. Jewett
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A 2.0-kg mass is attached to a vertical spring. The mass is held in place with the spring relaxed, and then released from rest. As the mass falls, it stretches the spring. If the spring has a force constant of 100 N/m, how fast is the mass moving after is has descended 3.0 cm? Ignore air resistance.

 

CAn i please get this step by step 

the answer i got is

1 mv + 1 kx2 − mgx =

0 2 2 r k 2v =

2gx − x = 74 cm/s 

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