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In a shipping company distribution center, an open cart of mass 50.0 kg is rolling to the left at a speed of 5.00 m/s


 1. In a shipping company distribution center, an open cart of mass 50.0 kg is rolling to the left at a speed of 5.00 m/s You can ignore friction between the cart and the floor. A 15.0-kg package slides down a chute, inclined at 37 from the horizontal and leaves the end of the chute with a speed of 3 m/s. The package lands in the cart and they roll off together. If the lower end of the chute is a vertical distance of 4.00 m above the bottom of the cart, what are (a) the speed of the package just before it lands in the cart and (b) the final speed of the cart?

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 2. Two astronauts, of masses 85 Kg and 120 Kg, are initially at rest in outer space. They push each other apart. What is their total separation after the lighter astronaut has moved 32.75 m?

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