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In compressing the spring in a toy dart gun, 0.2 J of work is done. When the gun is fired, the spring gives its potential energy to a dart with a mass of 0.04 kg. What is the darts kinetic energy as it leaves the gun? What is the darts speed?
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Work Done in Compressing spring = Work done by spring while returning to natural length

Work Done on Dart = Work Done on spring during compression

Work done on Dart = 0.2 J = KE of the dart

(Because Change in Kinetic energy equals work done)

$\frac{1}{2} m v^2 = W$

$\frac{1}{2} \times 0.04 \times v^2 = 0.2$

$v = \sqrt {10} m/s$

$v = 3.16 m/s$

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