100 kg car moving at 22 m/s runs into a horizontal spring with spring constant 4200 N/m. How far does the car displace the spring before coming to a stop?

Answer 1

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Answer 2

Using conservation of anergy is the quickest way to do this.

It compresses the spring a distance X such that

(1/2) m V^2 = (1/2) k X^2
X = sqrt(m/k) * V = 3.4 m

It must be a very long spring.

Answer 3

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