Turn it around

Classical Mechanics Level pending

First figure gives spring force \(F_{x}\) versus position x for the spring-block arrangement of second figure. The scale is set by \(F_{s} = 160N\). This relation holds up to x =± 20 cm. We release the block at x = 12 cm. The mass of the block is 2 kg and the friction between the block and the floor is negligible.

Q : If the block is moving at \(v_{x} = +\sqrt{24}\) m/s at x = 2 cm, what are the locations of turning points?

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