- #1

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Question:

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A 1.6 kg block is pushed into a spring with spring constant of 1.0 x 10^3 N/m. The spring is compressed a distance of 2.0 cm [0.02m], and the block is released from rest in the horizontal direction.

(a) Calculate the speed of the block as it passes through the equilibrium position at x = 0, if the surface is frictionless.

(b) How far does the block travel before coming to rest? Assume a constant friction force of 4.0 N and the same initial conditions as before.

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Formula I used for (a)

v = √[k/m (A^2 - x^2)]

v = √[1000/1.6 (0.02^2 - 0^2)]

v = 0.5m/s

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Not sure about (a), But I have no clue as to (b)..

Should I used the work formula?

Work (J) = Force x distance