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A cart with mass 271 g, moving on a frictionless linear air track at an initial...

A cart with mass 271 g, moving on a frictionless linear air track at an initial speed of 1.08 m/s hits an initially stationary cart of unknown mass. After the collision, the first cart continues in its original direction at 0.92 m/s. The collision is elastic.

(a) What is the mass of the second cart?


(b) What is the speed of the second cart?

A block of mass 0.29 kg is placed on top of a light, vertical spring of force constant 6400 N/m and pushed downward so that the spring is compressed by 0.11 m. After the block is released from rest, it travels upward then leaves the spring.

To what maximum height above the point of release does it rise?

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