A spring (k=80 N/m) is used to propel a 150 gram steel ball along a track that includes a ramp…

A spring (k=80 N/m) is used to propel a 150 gram steel ball along a track that includes a ramp inclined 32 degrees above the vertical. The ball is pushed to the left, compressing the spring, and is then released and allowed to roll along the track. You may neglect friction.

a) After it is relased, the ball’s speed on the horizontal section of the track is 3.75 m/s. How far was the spring compressed before the ball was released?

b) What maximum vertical height does the ball reach before rolling back down the ramp?

c) What linear distance does the ball travel along the ramp?

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