A bullet with mass m(lowercase m) is fired into a block of wood with mass M(uppercase 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?
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