The adjoining diagram shows the velocity versus time plot for a particle. The work done by the force on the particle is positive from

  • A
    $A$ to $B$
  • B
    $B$ to $C$
  • C
    $C$ to $D$
  • D
    $D$ to $E$

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State and establish the principle of conservation of mechanical energy.

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$A$ body of mass $1 \text{ kg}$ moves along a straight line with a velocity $v = 2x^2$. The work done by the body during displacement from $x = 0$ to $5 \text{ m}$ is . . . . . . $J$.

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