Enhanced EOC: Problem 9.71 Part A A spaceship of mass 2.30-106 kg is cruising at

Question

Enhanced EOC: Problem 9.71 Part A A spaceship of mass 2.30-106 kg is cruising at a speed of 6.00 106 m/s when the antimatter reactor fails, blowing the ship into three pieces One section, having a mass of 5.10 105 kg, is blown straight backward with a speed of 1.80 106 m/s. A second piece, with mass 8 00 105 kg continues forward at 1.30-106 m/s What is the speed of the third piece? Express your answer with the appropriate units. 0-? Value Units You may want to review (pages?34-236) For help with math skills, you may want to review My Answers Give Up For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Softball toss

Explanation / Answer

Mass of third piece

M3=M-(M1+M2)=(2.3*106)-(5.1*105+8*105)=9.9*105 kg

By conservation of momentum

MV=M1V1+M2V2+M3V3

(2.3*106)(6*106)=(5.1*105)(-1.8*106)+(8*105)(1.3*106)+(9.9*105)V3

(9.9*105)V3=1.3678*1013

V3=1.38*107 m/s

direction is forward

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