qz5sol_6839sp10 - is 12 kg and the mass of the heavier...

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TA: Tomoyuki Nakayama Tuesday, February 23 rd , 2010 PHY 2048: Physic 1, Discussion Section 6839 Quiz 5 (Homework Set # 7) Name: UFID: Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator. You need to show all of your work for full credit. ________________________________________________________________________________ An object, with a mass of 12.0 kg and a speed of 20.0 m/s relative to an observer, explodes into two pieces, one 5 times as massive as the other; the explosion takes place in deep space. The massive piece stops relative to the observer. a) Find the masses of the lighter piece and heavier piece. Let the mass of the lighter piece be m and that of the heavier piece be M. The sum of the two masses
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Unformatted text preview: is 12 kg, and the mass of the heavier piece is 5 times the mass of lighter piece. Therefore we have M + m = 12, M = 5m 5m + m = 12 m = 2.00 kg, M = 12 – m = 10.0 kg ⇒ ⇒ b) What is the speed of the less massive piece after the explosion? No external force is exerted on the system, thus the total momentum of the system is conserved during the explosion. (M + m)v i = mv f v ⇒ f = (M + m)v i / m = 120 m/s c) How much kinetic energy is added to the system during the explosion? The added kinetic energy is ΔK = K f – K i = (1/2) mv f 2- (1/2)(m+M)v i 2 = 1.20 × 10 4 J...
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This note was uploaded on 01/15/2012 for the course PHY 2048 taught by Professor Field during the Fall '08 term at University of Florida.

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