$A$ particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that:

  • A
    Its velocity is constant
  • B
    Its acceleration is constant
  • C
    Its kinetic energy is constant
  • D
    It moves in a straight line

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Explain the work-energy theorem.

$A$ particle of mass $m \ kg$ moves along the $X$-axis with its velocity varying with the distance travelled as $v=k x^\beta$, where $k$ is a positive constant. The total work done by all the forces during displacement of the particle from $x=0$ to $x=d$ is close to

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