Kinetic energy of rocket explosion

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SUMMARY

The discussion focuses on calculating the ratio of total kinetic energy of two equal mass pieces of a rocket after an explosion compared to the rocket's kinetic energy before the explosion. The scenario involves one piece moving at twice the speed of the other. The solution requires applying the principles of kinetic energy and momentum conservation, specifically using the formula for kinetic energy, KE = 1/2 mv², to derive the necessary ratios.

PREREQUISITES
  • Understanding of kinetic energy calculations (KE = 1/2 mv²)
  • Basic knowledge of momentum conservation principles
  • Familiarity with physics problem-solving techniques, including diagramming
  • Ability to analyze motion in one dimension
NEXT STEPS
  • Study the conservation of momentum in explosive events
  • Learn about energy transformations during explosions
  • Explore advanced kinetic energy concepts in multi-body systems
  • Review examples of similar physics problems involving explosions and energy ratios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators looking for illustrative examples of explosive dynamics.

jc14
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Homework Statement



a rocket explodes in flight into two equal mass pieces still going in the same direction with one piece moving twice as fast as the other. What is the ratio of the total kinetic energy of the pieces just after the explosion to that of the rocket just before?

Homework Equations





The Attempt at a Solution

 
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Hi jc14. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

The method for solving any problem in physics begins with the drawing of a clear diagram, and on this you mark everything you know about the system.

Then you write down the equations you know which may (note I said "may", not "will") be relevant to the situation. (If you always automatically knew what equations would be needed then you'd be teaching the subject, not studying it!)

This places you at the point where you have assembled enough that you can now start to ponder it meaningfully.

Post your working when you've done that much.

Let's see how you go. :smile:
 
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