A machine is delivering constant power to drive a body along a straight line. What is the relation between the distance travelled by the body against time?

Question

A machine is delivering constant power to drive a body along a straight line. What is the relation between the distance travelled by the body against time? (A) s2 propto t3 (B) s2 propto t-3 (C) s3 propto t2 (D) s propto t3

Tardigrade Admin · Accepted Answer

Power =[ ML 2 T -3]= constant ∴ [( ML 2/ T 3)]= constant ∴ [ L 2] propto[ T 3] or s2 propto t3

Q. A machine is delivering constant power to drive a body along a straight line. What is the relation between the distance travelled by the body against time?

$s^{2} \propto t^{3}$

$s^{2} \propto t^{- 3}$

$s^{3} \propto t^{2}$

$s \propto t^{3}$

Power $= [M L^{2} T^{- 3}] =$ constant
$∴ [\frac{M L ^{2}}{T ^{3}}] =$ constant
$∴ [L^{2}] \propto [T^{3}]$
or $s^{2} \propto t^{3}$

Q. A machine is delivering constant power to drive a body along a straight line. What is the relation between the distance travelled by the body against time?

s2∝t3

s2∝t−3

s3∝t2

s∝t3

Power =[ML2T−3]= constant ∴[T3ML2​]= constant ∴[L2]∝[T3] or s2∝t3

$s^{2} \propto t^{3}$

$s^{2} \propto t^{- 3}$

$s^{3} \propto t^{2}$

$s \propto t^{3}$

Power $= [M L^{2} T^{- 3}] =$ constant
$∴ [\frac{M L ^{2}}{T ^{3}}] =$ constant
$∴ [L^{2}] \propto [T^{3}]$
or $s^{2} \propto t^{3}$