- Home
- Standard 11
- Physics
5.Work, Energy, Power and Collision
normal
A body of mass $m$ is accelerated uniformly from rest to a speed $v$ in a time $T$. The instantaneous power delivered to the body as a function of time is given by
A
$\frac{{m{v^2}t}}{{{T^2}}}$
B
$\frac{{m{v^2}{t^2}}}{{{T^2}}}$
C
$\frac{1}{2}\,\frac{{m{v^2}t}}{{{T^2}}}$
D
$\frac{1}{2}\,\frac{{m{v^2}{t^2}}}{{{T^2}}}$
Solution
$P=\overrightarrow{F} \cdot \overrightarrow{v}$
$P=\operatorname{ma} \times$ at
$\mathrm{P}=\mathrm{ma}^{2} \mathrm{t} \quad[\mathrm{u}=0] \quad\left[\mathrm{a}=\frac{\mathrm{v}}{\mathrm{T}}\right]$
$P=\mathrm{m}\left(\frac{\mathrm{v}}{\mathrm{T}}\right)^{2} \mathrm{t}$
$P=\frac{m v^{2} t}{T^{2}}$
Standard 11
Physics
Similar Questions
normal
