Two masses $m_1 = 5\, kg$ and $m_2 = 4.8\, kg$ tied to a string are hanging over a light  frictionless pulley. ............ $m/s^2$ is the acceleration of the masses when they  are free to move . $(g = 9.8\, m/s^2)$

Block of $3\,kg$ is initially in equilibrium and is hanging by two identical springs $A$ and $B$ as shown in figures. If spring $A$ is cut from lower point at $t=0$ then, find acceleration of block in $ms ^{-2}$ at $t =0$.

A particle of mass $m$ strikes a wall with speed $v$ at an angle $30^{\circ}$ with the wall elastically as shown in the figure. The magnitude of impulse imparted to the ball by the wall is

A block of mass $1 kg$ is suspended by a string of mass $1 kg$, length $1 m$ as shown in figure. $(g=10\,m /$ $s ^2$ ) Calculate:Force exerted by support on string.

A rocket which has a mass of $3.5 \times 10^4 \,kg$ is blasted upwards with an initial  acceleration of $10\, m/s^2$. Then the initial thrust of the blast is-

A weight can be hung in any of the following four ways by string of same type. In which case is the string most likely to break?