How Do You Calculate the Rest Energy of a Ball?

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SUMMARY

The rest energy of a ball with a mass of 8 kg is calculated using the formula E=mc², where c is the speed of light (approximately 3 x 10^8 m/s). The discussion clarifies that the velocity of the ball is irrelevant for calculating its rest energy, as rest energy is solely dependent on mass. The kinetic energy formula K=1/2 mv² is not applicable for this calculation. Therefore, the rest energy of the ball is 8 kg multiplied by the square of the speed of light.

PREREQUISITES
  • Understanding of Einstein's mass-energy equivalence principle (E=mc²)
  • Basic knowledge of kinetic energy formula (K=1/2 mv²)
  • Familiarity with the concept of rest energy
  • Knowledge of the speed of light (c) as a constant
NEXT STEPS
  • Research the implications of mass-energy equivalence in physics
  • Learn about relativistic energy calculations for objects at high speeds
  • Explore the differences between rest energy and kinetic energy
  • Study the applications of rest energy in nuclear physics
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Students studying physics, particularly those focusing on mechanics and energy concepts, as well as educators teaching mass-energy equivalence and its applications.

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Homework Statement



A ball whose mass is 8kg travels at a velocity [PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char68.png22,79,6[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char69.pngm[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmmi10/alpha/144/char3D.pngs. What is the rest energy of the ball?[/B]

Homework Equations



K=1/2 mv^2[/B]

The Attempt at a Solution



K=1/2 (8) v^2

Im not sure what to do with velocity since its in vector form, I tried taking the magnitude of it but that was incorrect.[/B]
 
Last edited by a moderator:
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Westin said:

Homework Statement



A ball whose mass is 8kg travels at a velocity [PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char68.png22,79,6[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char69.pngm[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmmi10/alpha/144/char3D.pngs. What is the rest energy of the ball?[/B]

Homework Equations



K=1/2 mv^2[/B]

The Attempt at a Solution



K=1/2 (8) v^2

Im not sure what to do with velocity since its in vector form, I tried taking the magnitude of it but that was incorrect.[/B]

The problem is asking for the 'rest energy' of the ball. I don't think you need to know the velocity of the ball in order to calculate its rest energy.
 
Last edited by a moderator:
SteamKing said:
The problem is asking for the 'rest energy' of the ball. I don't think you need to know the velocity of the ball in order to calculate its rest energy.
Unless the mass given is based on the speed given, but it's a speed so subluminal the difference will be minute.
 

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