First slide

Power

Question

A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The displacement (s) – time (t) graph that describes the motion of the particle is (graphs are drawn schematically and are not to scale) :

Moderate

A
B
C
D

Solution

Work done = change in K.E
$\begin{array}{l} Pt = \frac{1}{2} {mv}^{2} - \frac{1}{2} m u^{2} \\ If u = 0 \\ \Rightarrow V = \sqrt{\frac{2 pt}{m}} \\ \Rightarrow \frac{d s}{dt} = \sqrt{\frac{2 p}{m}} \cdot t^{\frac{1}{2}} \\ \Rightarrow \int ds = \int \sqrt{\frac{2 p}{m}} t^{\frac{1}{2}} dt \\ \Rightarrow S = \frac{2}{3} \sqrt{\frac{2 p}{m}} t^{\frac{3}{2}} \end{array}$

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