What is the change in relativistic momentum of an electron that accelerates from 0.900c to 0.930c?
A)8.63E-23 kg·m/s
B)1.27E-22 kg·m/s
C)3.96E-22 kg·m/s
D)1.83E-22 kg·m/s

Question

What is the change in relativistic momentum of an electron that accelerates from 0.900c to 0.930c?​
A)​8.63E-23 kg·m/s
B)​1.27E-22 kg·m/s
C)​3.96E-22 kg·m/s
D)​1.83E-22 kg·m/s

Quizplus · Accepted Answer

The relativistic momentum $p$ of an object is given by the formula $p = \frac{mv}{\sqrt{1 - \frac{v^2}{c^2}}}$, where $m$ is the rest mass of the object, $v$ is its velocity, and $c$ is the speed of light. The change in momentum $\Delta p$ as the electron accelerates from $0.900c$ to $0.930c$ can be calculated using this formula for both initial and final velocities and then finding the difference. Given the complexities of the calculation and the need for precise constants (such as the rest mass of the electron), the correct answer is obtained through calculation rather than direct explanation here. The result aligns with choice B, indicating that the specific values and the relativistic effects have been accurately accounted for in the calculation leading to this answer.

What Is the Change in Relativistic Momentum of an Electron