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Ballistic Pendulum: [8 points] A ballistic pendulum consists of a wooden block of mass M hanging at the bottom end of a massless rod of

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Ballistic Pendulum: [8 points] A ballistic pendulum consists of a wooden block of mass M hanging at the bottom end of a massless rod of length l, which has a frictionless pivot at its top end. A bullet of mass m, moving horizontally with velocity v as shown in the figure, impacts with the block and becomes embedded. What is the smallest value of v sufficient to cause the pendulum (with the bullet embedded) to swing clear over the top of its arc? The ballistic pendulum is in a lab on the surface of the Earth. m M

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