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Tentukan massa dan kelajuan elektron yang memiliki energi kinetik 100 keV jika massa diamnya 9,11 x I0-31 kg!

Tentukan massa dan kelajuan elektron yang memiliki energi kinetik 100 keV jika massa diamnya 9,11 x I0-31 kg!undefined 

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Jawaban:

Massa relativistik elektron:

begin mathsize 14px style E equals E K plus E subscript 0 m c squared equals E K plus m subscript 0 c squared m equals fraction numerator E K over denominator c squared end fraction plus m subscript 0 m equals fraction numerator 100.10 cubed.1 comma 6.10 to the power of negative 19 end exponent over denominator open parentheses 3.10 to the power of 8 close parentheses squared end fraction plus 9 comma 11.10 to the power of negative 31 end exponent m equals 1 comma 77.10 to the power of negative 31 end exponent plus 9 comma 11.10 to the power of negative 31 end exponent m equals 10 comma 89.10 to the power of negative 31 end exponent space kg end style   

Kelajuan elektron:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row v equals cell c square root of 1 minus open parentheses m subscript 0 over m close parentheses squared end root end cell row blank equals cell 3.10 to the power of 8. square root of 1 minus open parentheses fraction numerator 9 comma 11.10 to the power of negative 31 end exponent over denominator 10 comma 89.10 to the power of negative 31 end exponent end fraction close parentheses squared end root end cell row blank equals cell 3.10 to the power of 8.0 comma 54 end cell row blank equals cell 1 comma 64.10 to the power of 8 space straight m divided by straight s end cell end table end style 

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