John Taylor Classical Mechanics Chapter 3, Problem 7

In summary, The problem discusses the launch of a space shuttle in outer space with negligible gravity. The initial mass is 2x10^6kg, the final mass is 1x10^6 kg, and the average exhaust speed is 3000 m/s. The initial velocity is 0 and the question asks for the shuttle speed at the end of this stage. The answer is 2079.4 m/s. The thrust during this period can be calculated using the equation mdv/dt=(-dm/dt)vex. However, the poster is having trouble finding dv/dt and asks for assistance."
  • #1
karmonkey98k
6
0
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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  • #2
you know ##\frac{dm}{dt}##, ##v_{ex}##. Thrust is the reactionary force. Solve R.H.S.
 

What is the problem statement for John Taylor's Classical Mechanics Chapter 3, Problem 7?

The problem states that a block with mass m is placed on an inclined plane with angle θ, and is connected to a hanging mass M by a cord that passes over a pulley. The coefficient of friction between the block and the plane is μ. The problem asks to find the acceleration of the block and the tension in the cord.

What are the equations used to solve John Taylor's Classical Mechanics Chapter 3, Problem 7?

The equations used to solve this problem are Newton's second law, which states that the net force on an object is equal to its mass times its acceleration (ΣF = ma), and the force of friction equation (f = μN), where N is the normal force between the block and the inclined plane.

How do you approach solving John Taylor's Classical Mechanics Chapter 3, Problem 7?

To solve this problem, you must first draw a free body diagram of the block and write out all the known and unknown forces. Then, apply Newton's second law to the block in the direction of motion (along the inclined plane). Next, use the force of friction equation to find the frictional force acting on the block. Finally, set up and solve equations to find the acceleration and tension in the cord.

What are the key concepts involved in solving John Taylor's Classical Mechanics Chapter 3, Problem 7?

The key concepts involved in solving this problem are Newton's second law, the force of friction, and the components of forces along an inclined plane. It is also important to understand how to apply these concepts in a real-world scenario and how to set up and solve equations for systems with multiple objects and forces.

What are some tips for solving John Taylor's Classical Mechanics Chapter 3, Problem 7?

Some tips for solving this problem include carefully drawing a clear and accurate free body diagram, labeling all known and unknown forces, and using the correct equations for Newton's second law and the force of friction. It is also helpful to break down the problem into smaller, manageable steps and to double check your calculations and final answer for accuracy.

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