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
$P=C$
$P=C$
$F V=C$
$M \frac{d V}{d t} V=C$
$\frac{V^{2}}{2} \propto t$
$V \propto t^{1 / 2}$
$\frac{d x}{d t} \propto t^{1 / 2}$
$x \propto t^{3 / 2}$
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