2e03 assignment 8 2012 Solutions

2e03 assignment 8 2012 Solutions - Physics 2E03 Assignment...

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Physics 2E03 Assignment 8 Due Wednesday, Mar. 28 Assume any numerical values given below are accurate to 3 significant digits, and calculate answers to 3 digits . 1. A fast train (speed v = 100 m/s) moves on a straight track at latitude 60 ° N. A plumb bob is suspended from the ceiling. Draw a free-body diagram and find the angle (from the vertical) the plumb bob is deflected by the Coriolis force, if the train is travelling i) north, ii) east. (Note: “vertical” means the direction defined by a plumb bob in a stationary train at that location. Be sure to explain why you can ignore the centrifugal force in this problem). 2. A watermelon is launched vertically upward from the ground at speed v 0 at latitude λ in the northern hemisphere. Find the distance and direction from the launch point where it will land (that is, calculate the deflection due to the Coriolis force), and evaluate for latitude 43 ° and a speed v 0 sufficient to give it a maximum height of 500 m. Ignore air resistance. ( Don’t try to solve this exactly.
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