- Home
- Standard 11
- Physics
5.Work, Energy, Power and Collision
normal
A container of mass $m$ is pulled by a constant force in which a second block of same mass $m$ is placed connected to the wall by a mass-less spring of constant $k$ . Initially the spring is in its natural length. Velocity of the container at the instant when compression in spring is maximum for the first time
A
$\pi F\sqrt {\frac{1}{{2km}}} $
B
$\frac{{\pi F}}{2}\sqrt {\frac{1}{{2km}}} $
C
$\pi F\sqrt {\frac{1}{{km}}} $
D
$\frac{{\pi F}}{2}\sqrt {\frac{1}{{km}}} $
Solution
$\mathrm{Ft}=2 \mathrm{mv}$ $(i)$
$t=\frac{T}{2}=\frac{2 \pi}{2} \sqrt{\frac{m}{k}}$
$t=\pi \sqrt{\frac{m}{2 k}}$
$\mathrm{F} \pi \sqrt{\frac{\mathrm{m}}{2 \mathrm{k}}}=2 \mathrm{mv}$
$v=\frac{F \pi}{2} \sqrt{\frac{1}{2 k m}}$
Standard 11
Physics
Similar Questions
normal
