ps9 - m is revolving with speed v in a circle of radius R...

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Assignment 9, Phys1112 Spring 2010 Due April 5 Problem 4 A solid wooden door has width w and height h and mass M , and is initially open and at rest. An arrow of mass m traveling with speed v is shot into the center of the door. Assume the arrow’s velocity is perpendicular to the door. What is the angular velocity of the door? Problem 5 A wooden stick of length L and mass M is free to rotate about an axis a distance ` from one end. A bullet of mass m initially traveling perpendicular to the stick with speed v 0 collides with the stick at its tip that is furthest from the axis, and remains embedded there. What is the speed of the tip of the stick just after the collision? Problem 6 A block of mass
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Unformatted text preview: m is revolving with speed v in a circle of radius R on a frictionless horizontal surface. It is attached to a string of negligible mass that passes through a hole in the table at the center of the circle. The string is pulled on until the block is at a shorter distance R from the center. (a) What is the new speed of the block? (b) What is the tension in the string as a function of r , the radius of the circular motion of the block in between, i.e. for R < r < R ? (c) How much work is done in pulling the string from R to R ? (d) Calculate the change in kinetic energy and show that it equals your answer to part (c), as it should. 1...
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