The speed v reached by a car of mass m driven with constant power P is given by

Question

The speed v reached by a car of mass m driven with constant power P is given by (A) v=(3 x P/m) (B) v=((3 x P/m))1 / 2 (C) v=((3 x P/m))1 / 3 (D) v=((3 x P/m))2

Tardigrade Admin · Accepted Answer

P=Fv or P=(m v (d v/d x))v or displaystyle ∫ 0v v2 d v = displaystyle ∫ 0x (P/m) d x (v3/3)= (P x/m) or v=((3 P x/m))1 / 3

Q. The speed $v$ reached by a car of mass $m$ driven with constant power $P$ is given by

$v = \frac{3 x P}{m}$

$v = (\frac{3 x P}{m})^{1/2}$

$v = (\frac{3 x P}{m})^{1/3}$

$v = (\frac{3 x P}{m})^{2}$

$P = F v$
or $P = (m v \frac{d v}{d x}) v$
or $\int_{0}^{v} v^{2} d v = \int_{0}^{x} \frac{P}{m} d x$
$\frac{v ^{3}}{3} = \frac{P x}{m}$ or $v = (\frac{3 P x}{m})^{1/3}$

Q. The speed v reached by a car of mass m driven with constant power P is given by

v=m3xP​

v=(m3xP​)1/2

v=(m3xP​)1/3

v=(m3xP​)2