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3. (20 points)
Ballistic Pendulum: A bullet with mass m is fired into a block of wood with mass M,
suspended like a pendulum, and makes a completely inelastic collision with it. After
the impact of the bullet, the block swings up to a maximum height h. Given the
values of h = 5.00 cm = 0.0500 m, m = 6.75 g = 0.00675 kg, and M = 2.50 kg,
(a) what is the initial velocity v_x of the bullet in m/s?
(b) what is the velocity V_x of the bullet/block system right after impact?
(c) what is the kinetic energy of the bullet right before impact?
(d) what is the kinetic energy of the bullet/block system right after impact? Where
did the initial energy of the bullet go?
(Remember: Use Conservation of Linear Momentum to analyze the impact. Then, use
Conservation of Total Mechanical Energy to see how high the bullet/block system swings.)
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