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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 nonzero 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 α up a hill of slope angle β . The angle α is greater than β . a) How far up the hill will the projectile land? b) At what angle α 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 μ k exists between the floor and m 1 , and a coefficient of static friction μ s exists between m 1 and m 2 . m m 2 1 F μ k μ 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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 Fall '08
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 mechanics, Force, Work, The Land, constant speed, inertial reference frame, static friction µs, lowest nonzero terms

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