A two stage rocket with a total mass of 925kg is traveling at a speed of 6.6 10^
ID: 1912594 • Letter: A
Question
A two stage rocket with a total mass of 925kg is traveling at a speed of 6.6 10^3 m/s away from the earth . A predesigned explosion separates into two sections of equal mass that move with a speed of 2800m/s relative to each other along the original line of motion. a) what is the speed and direction of each section relative to earth after the explosion. b) how much energy was supplied by the explosion .(hint what is the change in kinetic energy due to the explosion?)Explanation / Answer
(A) Apply conservation of momentum: M*V = m1*v1 * m2*v2 and v1-v2 = 2.00×10^3 => 925*6.6×10^3 = (925/2)* (2.80×10^3 +v2) + (925/2)*v2 => v2 = 5.2x10^3 m/s => v1 = 8x10^3m/s (B) Energy supplied by explosion = Final energy after explosion - Energy before explosion => Energy supplied = (1/2)*m1*v1^2 + (1/2)*m2*v2^2 - (1/2)*M*V^2
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