The last stage of a rocket is traveling at a speed of 7600m/s.This last stage is

Question

The last stage of a rocket is traveling at a speed of 7600m/s.This last stage is made up of two parts that are clamped together,namely, a rocket case with mass 290kg and a payload capsule with amass of 150kg. When the clamp is released, a compressed springcauses the two parts to separate with a relative speed of 910m/s.-Note use 4 sig figs in data & answers (large numbers) a.) What are the speeds of the two parts after they have beenseparated? Assume all velocities are along same line b.) Find the total kinetic energy of the two parts before andafter they separate; account for any difference. Why is there adifference? Answers part a - 7290m/s; payload : 8200m/s Part b - Before = 1.271 x 1010J, After = 1.275 x1010J, Why..N/a The last stage of a rocket is traveling at a speed of 7600m/s.This last stage is made up of two parts that are clamped together,namely, a rocket case with mass 290kg and a payload capsule with amass of 150kg. When the clamp is released, a compressed springcauses the two parts to separate with a relative speed of 910m/s.-Note use 4 sig figs in data & answers (large numbers) a.) What are the speeds of the two parts after they have beenseparated? Assume all velocities are along same line b.) Find the total kinetic energy of the two parts before andafter they separate; account for any difference. Why is there adifference? Answers part a - 7290m/s; payload : 8200m/s Part b - Before = 1.271 x 1010J, After = 1.275 x1010J, Why..N/a

Explanation / Answer

Accorging to conservation of momentum [290+150]*9600=290*x+150(x+910) 3344000-136500=440x so x=7289.77==7290m/sec so the speed of 240kg mass is 7290m/sec and that of 150 kg mass is =7290+910=8200m/sec part b kinetic energy of the two parts beforeseparation=1/2*440*7600*7600=1.271*1010J kinetic energy of the two parts afterseparation=1/2*290*7290*7290 + 1/2*150*8200*8200                                                                        =1.275*1010J difference is due to change in the momentum

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