A one kg block moves towards a light spring with a velocity of $8\, m/s$. When the spring is compressed by $3\, m$, its momentum becomes half of the original momentum. Spring constant of the spring is :-
$18/3\, N/m$
$16/3\, N/m$
$3\, N/m$
$8\, N/m$
A ball of mass $4\, kg$, moving with a velocity of $10\, ms ^{-1}$, collides with a spring of length $8\, m$ and force constant $100\, Nm ^{-1}$. The length of the compressed spring is $x\, m$. The value of $x$, to the nearest integer, is ........ .
$10\ m$ is the total mass of a cannon that includs all shell. Initial cannon is moving with velocity $10\ m$ is along a horizontal frictionless path. If cannon fires $'n$' shells of mass $m$ in the direction of motion of the cannon one by one with velocity $u$ with respect to ground. (neglect any friction force)
A spring with spring constant $k $ is extended from $x = 0$to$x = {x_1}$. The work done will be
Give the example of variable force. Write the formula of Hook’s law.
A spring block system is placed on a rough horizontal floor. The block is pulled towards right to give spring some elongation and released.