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Explosion --MTm (b) (a) 1. [20pts] In a ballistic pendulum an object of mass m is fired with an initial speed vo at a pendulum

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Explosion --MTm (b) (a) 1. [20pts] In a ballistic pendulum an object of mass m is fired with an initial speed vo at a pendulum bob. The bob has a mass M = 10kg, which is suspended by a rod of length L = .85m and negligible mass. After the collision, the pendulum and object stick together and swing to a maximum angular displacement 0 as shown above (in Picture (a)). a Find the initial speed of a bullet fired at the bob in terms of L, m, M, g, and the maximum angular displacement 0. b) Find the ratio of initial kinetic energy to final potential energy in terms of L, m, M, g, and 0. c) What are the initial speed and ratio of initial to final energy for the following tests: . m = 6g, 0 = 50 . m = 10g, 0 = 10

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