A body is hanging from a rigid support by an inextensible string of length $\text{'}l\text{'}.$ It is struck inelastically by an identical body of mass $m$ with horizontal velocity, $v=\sqrt{2gl},$ the tension in the string increases just after the striking by

A small ball is projected horizontally between two large blocks. The ball is given a velocity $v{ \mathrm{m} \mathrm{s}}^{-1}$ and each of the large blocks moves uniformly with a velocity of $2v{ \mathrm{m} \mathrm{s}}^{-1}.$ The ball collides elastically with the blocks. If the velocity of the blocks does not change due to the collision, then find out the velocity of the ball after the $2^{\mathrm{nd}}$ collision.

A ball $A$ is falling vertically downwards with velocity $v_1$. It strikes elastically with a wedge moving horizontally with velocity $v_2$ as shown in the figure. What must be the ratio $\frac{v_1}{v_2}$ so that the ball bounces back perpendicular to the wedge? (Take $m_w\gg m_b$)

A block of mass $\text{'}m\text{'}$ is hanging from a massless spring of spring constant $k.$ It is in equilibrium under the influence of gravitational force. Another particle of same mass$\text{'}m\text{'}$moving upwards with velocity, $u_0$ hits the block and sticks to it. For the subsequent motion, choose the incorrect statements: