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# written8 - Homework 8 Due March 6 2007 1 A stationary block...

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Homework 8 Due March 6 2007 1) A stationary block of mass M in empty space explodes into 3 fragments of mass m 1 , m 2 , m 3 where M=m 1 +m 2 +m 3 . Let E 1 , E 2 and E 3 be the energy of these fragments respectively and let E=E 1 +E 2 +E 3 be the total energy released in the explosion. a) Show that 2 2 3 3 1 1 3 3 1 1 2 2 1 1 2 2 3 3 m E m E m E m E m E m E m E m E m E + + + b) Sketch a picture of the relative direction of the momenta of the particles if the first line of the above is saturated, i.e. if 2 2 3 3 1 1 m E m E m E + = . 2) A projectile is fired at 100 m/s, at an angle of 60º from the ground. At the top of its parabolic motion, the projectile explodes and breaks into two pieces. The large piece (70% of the mass) comes out of the explosion with a horizontal velocity and lands exactly where the projectile was fired in the first place. How far from this point (i.e. the launch point) does the smaller piece land? 3) A uniform cylinder of mass M and radius R, initially at rest, is pulled up an incline of angle θ

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written8 - Homework 8 Due March 6 2007 1 A stationary block...

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