Embibe Experts Solutions for Chapter: Centre of Mass, Exercise 1: TS EAMCET - 10 August 2021 Shift 1

Two masses of $1 \mathrm{g}$ and $4 \mathrm{g}$ are moving with equal kinetic energy. The ratio of the magnitudes of their linear momentum is

A uniform wire of length $L$' with centre of mass at the origin is lying along the $x$- axis. The wire is bent in the form of a circle such that its lowest point is at the origin. Then the shift of centre of mass is

A homogenous semi circular plate of radius $9 \mathrm{cm}$ placed at the origin as shown in the figure. The coordinate of center of mass is (Assume thickness is negligible)

Three spheres $A, B$ and $C$ each of mass $1 \mathrm{kg}$ and radii $R, 2R$ and $3 R$ respectively are kept touching each other as shown in the figure. Assuming the centers of the spheres are on a straight line, the distance of centre of mass of the system from the center of sphere, $A$ is

If the sum of external forces acting on a system is zero, then the centre of mass

A rod has length $L.$ The linear mass density is $2x \mathrm{kg} {\mathrm{m}}^{-1}$ where $x$ is the distance from the left end. The centre of mass of the rod from the left end lies at a distance of

Two balls $A$ and $B$ of masses $50 \mathrm{kg}$ and $20 \mathrm{kg}$ are moving in a straight line in the same direction at speed of $9 \mathrm{km} {\mathrm{h}}^{-1}$ and $18 \mathrm{km} {\mathrm{h}}^{-1}$ respectively. Ball $B$ hits $A$ and reverses its direction at a speed of $27 \mathrm{km} {\mathrm{h}}^{-1}.$ The speed of the ball $A$ after the collision is

Consider two particles $1$ and $2$ moving with constant velocities ${\overrightarrow{v}}_1$ and ${\overrightarrow{v}}_2$. If ${\overrightarrow{r}}_1$ and ${\overrightarrow{r}}_2$ are the radius vectors of the particles at the start, the relation between ${\overrightarrow{r}}_1, {\overrightarrow{r}}_2, {\overrightarrow{v}}_1$ and ${\overrightarrow{v}}_2$ when the two particles collide is