John Taylor Classical Mechanics Chapter 3, Problem 7

AI Thread Summary
The discussion focuses on solving Problem 7 from Chapter 3 of John Taylor's "Classical Mechanics," which involves calculating the speed of a space shuttle after two minutes of launch in a negligible gravity environment. The initial mass is 2x10^6 kg, reducing to 1x10^6 kg, with an average exhaust speed of 3000 m/s. The user successfully calculated the shuttle's speed at the end of the stage as 2079.4 m/s but is struggling to determine the acceleration (dv/dt). The thrust during this period is linked to the change in mass and exhaust velocity, and it is compared to the shuttle's initial weight on Earth. The discussion emphasizes the application of the thrust equation and the relationship between mass flow rate and velocity.
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John Taylor "Classical Mechanics" Chapter 3, Problem 7

1. Homework Statement [/b]
The first couple of minutes of the launch of a space shuttle can be described very roughly as follows: The initial mass is 2x10^6kg, the final mass (after 2 min) is about 1x10^6 kg, the average exhaust speed is about 3000 m/s and the initial velocity is 0. If all this were taking place in outer space, with negligible gravity, what would be the shuttle speed at the end of this stage? What is the thrust during the same period and how does it compare with the initial total weight of the shuttle (on earth)?
I already answered the first question, and got 2079.4 m/s


Homework Equations


mdv/dt=(-dm/dt)v>ex


The Attempt at a Solution


Am not able to get dv/dt.
 
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you know ##\frac{dm}{dt}##, ##v_{ex}##. Thrust is the reactionary force. Solve R.H.S.
 
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