The system of the wedge and the block connected by a massless spring as shown in the figure is released with the spring in its natural length. Friction is absent. maximum elongation in the spring will be
$\frac{{3Mg}}{{5k}}$
$\frac{{6Mg}}{{5k}}$
$\frac{{4Mg}}{{5k}}$
$\frac{{8Mg}}{{5k}}$
$A$ block of mass $m$ moving with a velocity $v_0$ on a smooth horizontal surface strikes and compresses a spring of stiffness $k$ till mass comes to rest as shown in the figure. This phenomenon is observed by two observers:
$A$: standing on the horizontal surface
$B$: standing on the block
To an observer $B$, when the block is compressing the spring
Write the dimensional formula of $\frac {k}{m}$.
Inside a lift, a spring (Force constant $k = 1000\ N/m$) and block ($mass = 1\ kg$) are both in a state of rest. Now the lift suddenly starts moving upwards with acceleration $a = g$. Find the maximum total compression in the spring in centimeter. ($g =10\ m/s^2$) :-
What is spring constant ? On which the work done by a spring depends ?
A spring of spring constant $ 5 \times 10^3$ $ N/m$ is stretched initially by $5\,cm$ from the unstretched position. Then the work required to stretch it further by another $5\,cm$ is .............. $\mathrm{N-m}$