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In a ballistic pendulum, a spring gun, with a spring constant k, is aimed horizontally releasing...

In a ballistic pendulum, a spring gun, with a spring constant k, is aimed horizontally releasing a spring that has been compressed a distance x. A ball of mass m is fired at the bob of a pendulum. The bob (cup) has a mass M, and is suspended by a rod of negligible mass. After the collision, the ball stays inside the cup of the bob and swings through an arc, eventually gaining a height h. (a) Find the height in terms of the given variables. (b) If a 10.0 g bullet is fired into a ballistic pendulum whose bob has a mass of 1.00 kg, determine the initial speed V that would cause the bob to rise to a height of 15.0 cm.

                                                                                      

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