Question

3.12 ** 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 0.) What is the rocket's final speed, accelerating from rest in free space, if it burns all its fuel in a single stage?

Answer 1

`0.916v_(ex)`

Step-by-step explanation:

A multistage rock is also known as a step rocket and it is a form of vehicle that can use more than a rocket stage. The rocket stage typically contains propellant as well as its engine. The final speed of the rocket can be estimated using the equation below:

`v = v_(ex) ln((m_(o))/(0.4m_(o)))`
`= v_(ex)*ln(2.5) = v_(ex)*0.916 = 0.916v_(ex)`

Therefore, the maximum speed of the rocket is
`0.916v_(ex)`