In compressing the spring in a toy dart gun, 4 J of work isdone. When the gun is

Question

In compressing the spring in a toy dart gun, 4 J of work isdone. When the gun is fired, the spring gives its potentialenergy to a dart with a mass of 0.02kg. (a) What is the dart's kenetic energy as it leaves thegun? (b) What is the dart's speed? I need help with this question. Could I have you workthis out from start to finish. Thank you. In compressing the spring in a toy dart gun, 4 J of work isdone. When the gun is fired, the spring gives its potentialenergy to a dart with a mass of 0.02kg. (a) What is the dart's kenetic energy as it leaves thegun? (b) What is the dart's speed? I need help with this question. Could I have you workthis out from start to finish. Thank you.

Explanation / Answer

The 4 joules stored as potential energy in the spring turnscompletely into kinetic energy (assuming no friction losses),so (a) Ek after = EP before Ek after = 4 joules (1/2)(m)(v2) = Ek after (b) v=(2)(Ek after / m) v=(2)(4joules / 0.02kg) v=20 meters/second

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