Center of Mass Momentum and Collision

A uniform thin metal plate of mass $10 \mathrm{~kg}$ with dimensions is shown. The ratio of $\mathrm{x}$ and $\mathrm{y}$ coordinates of center of mass of plate in $\frac{n}{9}$. The value of $n$ is ________

A ball with a speed of $9ms^{-1}$ collides with another identical ball at rest. After the collision, the direction of each ball makes an angle of $30^{\circ}$ with the original direction. If the ratio of velocities of…

A body of mass $M$moving at speed $V_{0}$ collides elastically with a mass $m$at rest. After the collision, the two masses move at angles $\theta\,_{1}$ and $\theta\,_{2}$ with respect to the initial direction of motion…

The mass of a hydrogen molecule is $3.32\times\,10^{-27}\mathrm{kg}.$ If $10^{23}$ hydrogen molecules strike, per second, a fixed wall of the area $2\mathrm{cm}^{2}$ at an angle of $45^{o}$ to the normal, and rebound…

A body of mass $1\mathrm{kg}$collides head on elastically with a stationary body of mass $3\mathrm{kg}$. After collision, the smaller body reverses its direction of motion and moves with a speed of $2ms^{-1}$. The…

A particle of mass $m$ is moving with speed $2\text{v}$ and collides with a mass $2m$ moving with speed $\text{v}$ in the same direction. After the collision, the first mass is stopped completely while the second one…

Particle$A$of mass$m_{1}$moving with velocity$\left(\sqrt{3}\hat{i}+\hat{j}\right)\mathrm{ms}^{-1}$collides with another particle$B$of mass$m_{2}$which is at rest initially. Let$\vec{v}_{1}$and$\vec{v}_{2}$be the…

The distance of centre of mass from end $A$ of a one dimensional rod $\left(AB\right)$ having mass density $\rho\,=\rho\,_{0}\left(1-\frac{x^{2}}{L^{2}}\right)\mathrm{kg}m^{-1}$ and length $L$ (in meter) is…

Two bodies of the same mass are moving with the same speed, but in different directions in a plane.They have a completely inelastic collision and move together thereafter with a final speed which is halfof their initial…

A simple pendulum of length $1m$has a wooden bob of mass $1\mathrm{kg}$. It is struck by a bullet of mass $10^{-2}\mathrm{kg}$moving with a speed of $2\times\,10^{2}ms^{-1}$. The bullet gets embedded into the bob. The…

The position vector of the center of mass $\vec{r}_{\mathrm{cm}}$of an asymmetric uniform bar of negligible area of cross-section as shown in figure is:

A particle of mass $\text{m}$ moving in the $x$ direction with speed $2v$ is hit by another particle of mass $2m$ moving in the $y$ direction with speed $v.$ If the collision is perfectly inelastic, the percentage loss…