Center of Mass Momentum and Collision

A composite system of two uniform rods of same metal are shown in the figure. Lengths of rods are as shown in figure. The co-ordinates of the centre of mass of the system of rods are

A gas molecule of mass $m$, moving with velocity $\vec{v} = a\hat{i} + b\hat{j} + c\hat{k}$ hits a container wall that is parallel to the $xz$-plane. Assuming a perfectly elastic collision, what is the change in…

Two billiard balls A and B, each of mass $50\ \text{g}$ and moving in opposite directions at a speed of $5\ \text{m/s}$ each, collide and rebound at a same speed. The magnitude of impulse imparted to each ball is

A particle 'A' of mass ' 2m' and having initial velocity $'u_A'$ collides with particle B of mass ' m / 2' at rest. The collision is head on and elastic. If $\lambda_A$ and $\lambda_B$ are the de-Broglie wavelength of…

On a friction-less surface, a block of mass M moving at speed $v$ collides elastically with another block (of mass M) initially at rest. After collision, the first block moves at an angle $\theta$ to its initial…

In the figure, pendulum bob on left side is pulled a side to a height $h$ from its initial position. After it is released it collides with the right pendulum bob at rest, which is of same mass. After the collision, the…

In the diagram shown below, $m_1$ and $m_2$ are the masses of two particles and $x_1$ and $x_2$ are their respective distances from the origin $O$. The centre of mass of the system is

The centre of mass of a system of two bodies of masses $M$ and $m,(M>m)$, separated by a distance $d$ is

Which of the following graph shows the variation of velocity with mass for the constant momentum?

In the diagram shown below, $m_1$ and $m_2$ are the masses of two particles and $x_1$ and $x_2$ are their respective distances from the origin $O$. The centre of mass of the system is

Centre of mass of the given system of particles will be at

A tennis ball of mass $m$ strikes a wall with a velocity $v$ and retraces the same path. Calculate the change in momentum?