A mass '$$\mathrm{M}$$' moving with velocity '$$\mathrm{V}$$' along $$\mathrm{X}$$-axis collides and sticks to another mass $$2 \mathrm{M}$$ which is moving along $$\mathrm{Y}$$-axis with velocity '$$3 \mathrm{~V}$$'. The velocity of the combination after collision is
Consider the following statements $$\mathrm{A}$$ and $$\mathrm{B}$$. Identify the correct choice in the given answers.
A. In an inelastic collision, there is no loss in kinetic energy during collision.
B. During a collision, the linear momentum of the entire system of particles is conserved if there is no external force acting on the system.
A body falls on a surface of coefficient of restitution 0.6 from a height of $$1 \mathrm{~m}$$. Then the body rebounds to a height of
Two massless springs of spring constant $$\mathrm{K}_1$$ and $$\mathrm{K}_2$$ are connected one after the other forming a single chain, suspended vertically and certain mass is attached to the free end. If '$$e_1$$' and '$$e_2$$' are their respective extensions and '$$\mathrm{f}$$' is their stretching force, the total extension produced is