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 :-

Question

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 (B) t 3 / 2 (C) t (D) t 1 / 2

Tardigrade Admin · Accepted Answer

P=C F V=C M (d V/d t) V=C (V2/2) propto t V propto t1 / 2 (d x/d t) propto t1 / 2 x propto t3 / 2

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 :-

$t^{2/3}$

$t^{3/2}$

t

$t^{1/2}$

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

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 :-

t2/3

t3/2

t

t1/2

P=C FV=C MdtdV​V=C 2V2​∝t V∝t1/2 dtdx​∝t1/2 x∝t3/2

$t^{2/3}$

$t^{3/2}$

$t^{1/2}$

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