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PLEASE HELP!! MAsteringPhysics What is the speed of each section (relative to Earth) after the explosion?

A 885 two-stage rocket is traveling at a speed of 5.05×103 with respect to Earth when a pre-designed explosion separates the rocket into two sections of equal mass that then move at a speed of 2.50×103relative to each other along the original line of motion.(a) What is the speed of each section (relative to Earth) after the explosion? v1,v2=(b) What are the direction of each section (relative to Earth) after the explosion?ANS: BOTH AWAY FROM EARTH(c) How much energy was supplied by the explosion? [Hint: What is the change in KE as a result of the explosion?]I attempted the question and got it wrong TWICE!! PLease help me. I have three chances left but I've already lost points. I don't know how else to do the problem. Please help. Ive browsed through yahoo answers for a similar question and found a few and worked it out similarly but its still wrong.PLEASE HELP!!MY ATTEMPTED ANSWERS which were incorrectAttempt one : For (A) V1= 10100 V2=7600Attempt two: For (A) V1= 2500, 0.00913

1 Answers

E
Everardo Feil

Feb 20, 2025

a) Since the stages have equal mass, one stage gains half of the change in velocity and the other stage loses half of the change in velocity, orv1 = 5050m/s + 1250m/s = 6300 m/sv2 = 5050m/s - 1250m/s = 3800 m/sNote that their separation velocity = 2500 m/sb) Correct, both are still headed away from earth (v > 0)c) initial KE = ½ 885kg (5050m/s)² = m * 1.128e10 Jfinal KE = ½ (885kg/2) (6300² + 3800²)m²/s² = 1.198e10 Jsupplied energy = 6.91e8 J = 691 MJ... Show More

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