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Unformatted text preview: Physics 325, Fall 2010 Homework Assignment #1 Due Thursday 2 September at 11:15 am 1) (5 points) Obtain the three lowest non-zero terms in the Taylor expansion of f ( x ) = 1 + x around x = 1 2) (15 points) A projectile is fired with initial speed v at an elevation angle of up a hill of slope angle . The angle is greater than . a) How far up the hill will the projectile land? b) At what angle will the range up the slope be a maximum? c) What is the size of the maximum range measured up the slope? 3) (15 points) Two boxes of masses m 1 and m 2 are stacked as shown below. A coefficient of kinetic friction k exists between the floor and m 1 , and a coefficient of static friction s exists between m 1 and m 2 . m m 2 1 F k s g An external force vector F is applied horizontally, as shown in the figure, and the gravitational acceleration vectorg points downwards. a) Draw a diagram showing all the forces on m 1 ....
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