To illustrate the use of a multistage rocket consider the following: (a) A certain rocket carries...

 

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To illustrate the use of a multistage rocket consider the following: (a) A certain rocket carries 60% of its initial mass as fuel. (That is, the mass of fuel is 0.6m,) What is the rocket's final speed, accelerating from rest in free space, if it burns all its fuel in a single stage? Express your answer as a multiple of Vez. (b) Suppose instead it burns the fuel in two stages as follows: In the first stage it burns a mass 0.3m, 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 Ver throughout and compare. To illustrate the use of a multistage rocket consider the following: (a) A certain rocket carries 60% of its initial mass as fuel. (That is, the mass of fuel is 0.6m,) What is the rocket's final speed, accelerating from rest in free space, if it burns all its fuel in a single stage? Express your answer as a multiple of Vez. (b) Suppose instead it burns the fuel in two stages as follows: In the first stage it burns a mass 0.3m, 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 Ver throughout and compare.

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