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# Force and potential energy and work

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A spring-loaded dart gun shoots a dart with a mass of 150 grams. The spring constant of the dart gun is 4000 N/m, and when the dart is placed in the gun, the spring is compressed 15 cm (See attachment for the rest).

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This solution is provided in 274 words. It answers each question with a brief equation for calculating force, work, velocity, kinetic energy and height.

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Mass of dart = Md = 150 g = 0.15 Kg.
Spring constant = K = 4000 N/m
Spring compression (displacement) = x =15 cm = 0.15 m

1. F = K*x = 4000*0.15 = 600 N ==> (E)

2. W = (1/2)*K*x^2 = 45 J == (C)

3. V = 21.6 m/s
K.E. = (1/2)*Md*V^2 = 35 J ==> (B)

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