a) A certain rocket carries 60% of its initial mass as fuel. (mass of fuel is 0.6mg) What is the rocket's final speed, accelerating from rest in free space, if it burns all its fuel in a single stage? Express the answer as a multiple of vex. b) Suppose instead it burns the fuel in two stages as follows: In the first stage it burns a mass of 0.3mo of fuel. It then jettisons the first-stage fuel tank, which has a mass of 0.1mo, and then burns the remaining 0.3m, of fuel. Find the final speed in this case, assuming the same value of vex throughout, and compare.
a) A certain rocket carries 60% of its initial mass as fuel. (mass of fuel is 0.6mg) What is the rocket's final speed, accelerating from rest in free space, if it burns all its fuel in a single stage? Express the answer as a multiple of vex. b) Suppose instead it burns the fuel in two stages as follows: In the first stage it burns a mass of 0.3mo of fuel. It then jettisons the first-stage fuel tank, which has a mass of 0.1mo, and then burns the remaining 0.3m, of fuel. Find the final speed in this case, assuming the same value of vex throughout, and compare.
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Transcribed Image Text:a) A certain rocket carries 60% of its initial mass as fuel. (mass of fuel is 0.6mg)
What is the rocket's final speed, accelerating from rest in free space, if it burns
all its fuel in a single stage? Express the answer as a multiple of vex.
b) Suppose instead it burns the fuel in two stages as follows: In the first stage it
burns a mass of 0.3mo of fuel. It then jettisons the first-stage fuel tank, which
has a mass of 0.1mo, and then burns the remaining 0.3mo of fuel. Find the
final speed in this case, assuming the same value of vex throughout, and
compare.
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