First slide

Power

Question

A body is moving unidirectionally under the influence of a source of constant power supplying energy. Which of the diagrams shown below correctly shows the displacement time curve for its motion ?

Difficult

A
B
C
D

Solution

$\large P=\vec F.\vec V=FVcos0^0$
$P = F . v = c o n s \tan t m \frac{d v}{d t} v = P m d v . v = P d t \int m v d v = \int P d t \frac{m v^{2}}{2} = P t v = \sqrt{\frac{2 P t}{m}} \frac{d x}{d t} = \sqrt{\frac{2 P t}{m}} \int d x = \sqrt{\frac{2 P t}{m}} d t x = \sqrt{\frac{2 P}{m}} t^{\frac{3}{2}}$
x is proportional to $t^{\frac{3}{2}}$
$\frac{d x}{d t} = \frac{3}{2} t^{\frac{1}{2}}$
Since dx/dt = v = slope increases with time 2 is correct option.

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App