Answer:
To calculate the mass of the electron traveling at 0.85c, we can use the formula for relativistic mass:
m = m0 / sqrt(1 - v^2/c^2)
Where:
m0 = rest mass
v = velocity of the electron
c = speed of light
Substituting the given values, we get:
m = (9.11 x 10^-31 kg) / sqrt(1 - (0.85c)^2/c^2)
Simplifying this expression:
m = (9.11 x 10^-31 kg) / sqrt(1 - 0.7225)
m = (9.11 x 10^-31 kg) / sqrt(0.2775)
m = (9.11 x 10^-31 kg) / 0.5266
m = 1.730 x 10^-30 kg
Therefore, the mass of the electron traveling at 0.85c is 1.730 x 10^-30 kg.
Step-by-step explanation: