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Physics
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 :-
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Q. 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 :-
JEE Main
JEE Main 2021
Motion in a Straight Line
A
$t ^{2 / 3}$
9%
B
$t ^{3 / 2}$
48%
C
t
13%
D
$t ^{1 / 2}$
30%
Solution:
$P=C$
$F V=C$
$M \frac{d V}{d t} V=C$
$\frac{V^{2}}{2} \propto t$
$V \propto t^{1 / 2}$
$\frac{d x}{d t} \propto t^{1 / 2}$
$x \propto t^{3 / 2}$