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Physics · WORK, ENERGY AND POWER

हिन्दी

For a particle of mass \( m \) moving in one dimension under a variable net force \( F \), the time rate of change of kinetic energy \( \frac{dK}{dt} \) is mathematically expressed as:

  1. \( \frac{F}{v} \)
  2. \( F v \)
  3. \( F v^2 \)
  4. \( \frac{1}{2} F v \)

Correct answer · Option 2

\( F v \)

Explanation

\( \frac{dK}{dt} = \frac{d}{dt}(\frac{1}{2}mv^2) = m v \frac{dv}{dt} = F v \), using Newton's second law \( F = m\frac{dv}{dt} \).
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