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A 5.0 kg crate is transferred to a lower level by means of an 8 m long frictionless slide. The height of the top end of the slide is 4.5 meters above the lower end.

a) What is the crates velocity at the bottom of the slide?

b) If the workers install a big spring at the bottom of the slide to help stop the crate, what is the maximum compression of the spring for the crate in a) above? (Works previously determined that if a 35 kg crate was carefully placed against the spring on the slide it would compress the spring by 20 cm. Also, assume the simplistic case where no extra gravitational potential is used during the compression of the spring)

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