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Exercise:
The International Space Station ISS travels at an average orbital speed of vO around the Earth. It has a mass of mO. Calculate the average kinetic energy with both the relativistic and the classical expression.

Solution:
sscEkinrel gamma- E_ ErelF m times ncc^ &quad leftfracsqrt-leftfracvnccright^- right ErelS approx resultErelS sscEkincl EclF fractimes m times v^ EclS approx resultEclS Since the speed of the ISS is much smaller than the speed of light the two results are almost identical.
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Exercise:
The International Space Station ISS travels at an average orbital speed of vO around the Earth. It has a mass of mO. Calculate the average kinetic energy with both the relativistic and the classical expression.

Solution:
sscEkinrel gamma- E_ ErelF m times ncc^ &quad leftfracsqrt-leftfracvnccright^- right ErelS approx resultErelS sscEkincl EclF fractimes m times v^ EclS approx resultEclS Since the speed of the ISS is much smaller than the speed of light the two results are almost identical.
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special relativity
Tags
kinetic energy
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(1, default)
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0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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