A spring balance has a scale that reads from $0$ to $50\; kg$. The length of the scale is $20\; cm .$ A body suspended from this balance, when displaced and released, oscillates with a period of $0.6\; s$. What is the weight of the body in $N$?

A spring of force constant $k$ is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of

When a mass $m$ is attached to a spring, it normally extends by $0.2\, m$. The mass $m$ is given a slight addition extension and released, then its time period will be

A spring block system in horizontal oscillation has a time-period $T$. Now the spring is cut into four equal parts and the block is re-connected with one of the parts. The new time period of vertical oscillation will be

In the reported figure, two bodies $A$ and $B$ of masses $200\, {g}$ and $800\, {g}$ are attached with the system of springs. Springs are kept in a stretched position with some extension when the system is released. The horizontal surface is assumed to be frictionless. The angular frequency will be $…..\,{rad} / {s}$ when ${k}=20 \,{N} / {m} .$