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5.work,energy,power and collision — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics5.work,energy,power and collision1 Mark
MCQ
A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time $'t'$ is proportional to
  • A
    $t^{2 / 3}$
  • ✓
    $t ^{3 / 2}$
  • C
    $t$
  • D
    $t ^{1 / 2}$
✓

Answer

Correct option: B.
$t ^{3 / 2}$
b
$P=C$

$F V=C$

$M \frac{d V}{d t} V=C$

$\frac{V^{2}}{2} \propto t$

$V \propto t^{1 / 2}$

$\frac{d x}{d t} \propto t^{1 / 2}$

$x \propto t^{3 / 2}$

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