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5. If a spring with a 40 N/m spring constant is used to push a 10 kg ball to a speed of 2 m/s,

how much must the spring have been compressed assuming no energy is lost?

User Elise
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1 Answer

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By compressing the spring a distance x (in m), you are storing 1/2 k x ² (in J) of potential energy, which is converted completely into kinetic energy 1/2 m v ², where

k = 40 N/m = spring constant

m = 10 kg = mass of the ball

v = 2 m/s = ball's speed (at the moment the spring returns to its equilibrium point)

So we have

1/2 k x ² = 1/2 m v ²

x = √(m/k v ²) = √((10 kg) / (40 N/m) (2 m/s)²) = 1 m

User HRJ
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