How Do You Calculate the Rest Energy of a Ball?

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To calculate the rest energy of a ball with a mass of 8 kg, the velocity is not needed, as rest energy is determined solely by mass. The relevant equation for rest energy is E=mc², where c is the speed of light. The discussion clarifies that the velocity provided does not affect the calculation of rest energy since it pertains to the object's mass at rest. Concerns about the velocity being in vector form are deemed irrelevant for this specific calculation. Thus, the rest energy can be calculated directly using the mass of the ball.
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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]
 
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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.
 
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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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