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In a shipping company distribution center, an open cart of mass 53.0 kg is rolling to the left at a speed of 5.40 m/s (see the figure ). You can ignore friction between the cart and the floor. A 14.0 kg package slides down a chute that is inclined at 37 degrees from the horizontal and leaves the end of the chute with a speed of 3.10 m/s . The package lands in the cart and they roll off together. See attached figure.

A) If the lower end of the chute is a vertical distance of 4.00 m above the bottom of the cart, what is the speed of the package just before it lands in the cart?

B) What is the final speed of the cart?

368_Fig1.jpg

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