A 50 g dart rests up against a spring that has been compressed 0.04 meters. It has a spring constant of 1560 N/m. What is the maximum velocity of the dart after the spring has transferred all its energy to it.

The maximum velocity of the dart after the spring has transferred all its energy to it is 7.06 m/s.  

Explanation:

Given that,

Mass of the dart, m = 50 g = 0.05 kg

Compression in the spring, x = 0.04 m

Spring constant, k = 1560 N/m

We need to find the maximum velocity of the dart after the spring has transferred all its energy to it. The kinetic energy is converted to elastic potential energy as :

So, the maximum velocity of the dart after the spring has transferred all its energy to it is 7.06 m/s.

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