Question

Как изменится масса электрона если скорость его движения достигнет 0.6с

Answer 1

M=m0/sqrrt(1-V^2/c^2)
m/m0=1/sqrt(1-V^2/c^2)=1/sqrt(1-0,36*c^2/c^2)=1/sqrt(0,64)=1/0,8=1,25
Увеличится в 1,25 раза.

Answer 2

Calculating the Change in Electron Mass at 0.6c

When an electron's velocity approaches the speed of light, its mass increases due to relativistic effects. This change in mass can be calculated using the relativistic mass formula:

Relativistic Mass Formula: The relativistic mass (m) of an object moving at a velocity (v) can be calculated using the formula: \[ m = \frac{m_0}{\sqrt{1 - \frac{v^2}{c^2}}} \] Where: - \( m_0 \) = rest mass of the electron - \( v \) = velocity of the electron - \( c \) = speed of light in a vacuum

Calculation at 0.6c

Let's calculate the change in mass of an electron when its velocity reaches 0.6 times the speed of light (0.6c).

Using the given velocity (v = 0.6c) and the rest mass of an electron (m0 = 9.10938356 × 10^-31 kilograms), we can calculate the relativistic mass using the formula mentioned above.

Calculation: \[ m = \frac{9.10938356 \times 10^{-31}}{\sqrt{1 - \frac{(0.6c)^2}{c^2}}} \]

\[ m = \frac{9.10938356 \times 10^{-31}}{\sqrt{1 - 0.36}} \]

\[ m = \frac{9.10938356 \times 10^{-31}}{\sqrt{0.64}} \]

\[ m ≈ \frac{9.10938356 \times 10^{-31}}{0.8} \]

\[ m ≈ 1.136729195 \times 10^{-30} \, \text{kg} \]

So, when the velocity of the electron reaches 0.6 times the speed of light, its mass increases to approximately 1.136729195 × 10^-30 kilograms.

This calculation demonstrates the increase in mass as the electron's velocity approaches the speed of light, in accordance with the principles of special relativity.