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Physics1A_final

Physics1A_final - Physics 1A Final March 17th 2008 Name...

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Physics 1A March 17th 2008 Final Name: Discussion Section: 1) A car starts to turn on a curve of radius R with constant tangential acceleration a . Calculate a) the time at which the centripetal acceleration is equal in magnitude to the tangential acceleration and b) the distance traveled by the car from the moment when it started to turn. At the beginning of the turn the initial velocity of the car is v 0 . (Numerical data: R=9m, a =1m/s 2 , v 0 =1m/s).
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2) In a shipping company distribution center, an open cart of mass 55.0 kg is rolling to the left at a speed of 4.50 m/s (see the figure). You can ignore friction between the cart and the floor. A 20.0 kg package slides down a chute that is inclined at 37 deg from the horizontal and leaves the end of the chute with a speed of 3.40 m/s. 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? The package gets stuck to the cart after landing (without any bouncing or sliding) and they roll away together. What is the final speed of the cart?
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