College Physics I – Introduction

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Total energy

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College Physics I – Introduction

Definition

Total energy in special relativity includes both the rest energy and the kinetic energy of an object. It is given by the equation $E = \gamma mc^2$, where $\gamma$ is the Lorentz factor, $m$ is the rest mass, and $c$ is the speed of light.

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5 Must Know Facts For Your Next Test

  1. The total energy combines both rest energy and kinetic energy.
  2. In relativistic physics, total energy is given by $E = \gamma mc^2$.
  3. The Lorentz factor $\gamma$ accounts for time dilation and length contraction at high velocities.
  4. As velocity approaches the speed of light, total energy increases without bound.
  5. Rest mass ($m_0$) remains constant, but relativistic mass increases with velocity.

Review Questions

  • What equation represents the total energy in special relativity?
  • How does total energy change as an object's velocity approaches the speed of light?
  • What role does the Lorentz factor play in calculating total energy?
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