A projectile of 45 kg fired from a gun has a speed of 640 m/s. The projectile explodes in flight, breaking apart into a fragment of 32 kg and a fragment of 13 kg (we assume that no mass is dispersed in the explosion). Both fragments move along the original direction of motion. The speed of the first fragment is 450 m/s and that of the second is 1050 m/s. a) Calculate the translational kinetic energy of the center of mass motion before the explosion. b) Calculate the translational kinetic energy of the center of mass motion after the explosion. Calculate the total kinetic energy. Where does the extra kinetic energy come from?

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A projectile of 45 kg fired from a gun has a speed of 640 m/s. The projectile explodes in flight, breaking apart into a fragment of 32 kg and a fragment of 13 kg (we assume that no mass is dispersed in the explosion). Both fragments move along the original direction of motion. The speed of the first fragment is 450 m/s and that of the second is 1050 m/s.

a) Calculate the translational kinetic energy of the center of mass motion before the explosion.

b) Calculate the translational kinetic energy of the center of mass motion after the explosion. Calculate the total kinetic energy. Where does the extra kinetic energy come from?

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