When the mass of an electron becomes equal to thrice it's mass,its speed is
Jaswanth , 6 Years ago
Grade 12
Modern Physics> When the mass of an electron becomes equa...
1 AnswersArun
Last Activity: 6 Years ago
For a simple case, you could use the Lorenz equation 1/√(1 - v²/c²) which gives you a factor by which to multiply mass at relativistic velocities, where v = velocity and c = speed of light.
For the mass to be 3 times rest mass, the factor must be 3.
Therefore
1/√(1 - v²/c²) = 3
so
v²/c² = 2/3
v² = 2c²/3
plug in constant c = 3 x 10^8 ms^-1
c² = 9 x 10^16
2c²/3 = 6 x 10^16
Finally
v² = 6 x 10^16
so v = 245000000 m/s
= just over 80% speed of light
For the mass to be 3 times rest mass, the factor must be 3.
Therefore
1/√(1 - v²/c²) = 3
so
v²/c² = 2/3
v² = 2c²/3
plug in constant c = 3 x 10^8 ms^-1
c² = 9 x 10^16
2c²/3 = 6 x 10^16
Finally
v² = 6 x 10^16
so v = 245000000 m/s
= just over 80% speed of light
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