Unformatted text preview: m varies with the distance x as v ( x ) = αx n . Assume v ( x = 0) = 0 at t = 0. ( a ) Find the force, F ( x ), responsible. ( b ) Determine x ( t ) and ( c ) F ( t ). 5. A beach ball is thrown upward with initial speed v . Assume that the drag force from the air is f =mαv . What is the speed of the ball right before it hits the ground? Does the ball spend more time or less time in the air than it would if it were thrown in vacuum? 6. Consider an object that is coasting horizontally (positive x direction) subject to a drag force f =bvcv 2 . Write down Newton’s second law for this object and solve for v by separating variables. Sketch the behavior of v as a function of t . Explain the time dependence for large t . (Which force term is dominant when t is large?)...
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 Fall '13
 Dr.DanBoye
 mechanics, Force, Mass, Work, Particle, initial speed, linear resistive force

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