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TS EAMCET · Physics · Laws of Motion

A particle is acted upon by a force of constant magnitude such that its velocity and acceleration are always perpendicular to each other, then its

  1. A linear momentum is constant
  2. B kinetic energy is constant
  3. C velocity is constant
  4. D acceleration is constant
Verified Solution

Answer & Solution

Correct Answer

(B) kinetic energy is constant

Step-by-step Solution

Detailed explanation

\(\vec{F} \cdot \vec{v} = m\vec{a} \cdot \vec{v}\) Given \(\vec{v} \perp \vec{a}\), so \(\vec{a} \cdot \vec{v} = 0\). \(\vec{F} \cdot \vec{v} = 0\) Since Power \(P = \frac{dK}{dt} = \vec{F} \cdot \vec{v}\) \(\frac{dK}{dt} = 0\) Kinetic energy is constant.