109k views
2 votes
An electron is traveling at 0.85 c. what is its mass? (the rest mass is 9.11 × x10 -31 kg.)

1 Answer

3 votes

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:

User Bryan Lewis
by
7.9k points

No related questions found