Embibe Experts Solutions for Chapter: Centre of Mass, Momentum and Collisions, Exercise 6: Exercise (Analytical Questions)

A nucleus of the mass number $A$ originally at rest, emits alpha particle with speed $v$. The recoil speed of the daughter nucleus is

A sphere of diameter $r$ is cut from a solid sphere of radius $r$ such that the centre of mass of remaining part be at maximum distance from original centre, then this distance is :

In the $\mathrm{HCl}$ molecule, the separation between the nuclei of the two atoms is about $1.27Å\left(1Å={10}^{-10} \mathrm{m}\right)$. The approximate location of the centre of mass of the molecule, assuming the chlorine atom to be about $35.5$ times massive as hydrogen, is

A man $m=80 \mathrm{kg}$ is standing on a trolley of mass $320 \mathrm{kg}$ on a smooth surface. If a man starts walking on a trolley along rails at a speed of $1 \mathrm{m} {\mathrm{s}}^{-1}$, then after $4 \sec$, his displacement relative to the ground is

A neutron makes a head on elastic collision with a stationary deuteron. The fractional energy loss of the neutron in the collision is :-

A cricket bat is cut at the location of its centre of mass as shown. Then

A body of mass $2.0 \mathrm{kg}$ makes an elastic collision with another body at rest and continues to move in the original direction but with one-fourth of its original speed $v$. What is the mass of the other body and the speed of the centre of mass of two bodies?

A uniform rod of length $1.0 \mathrm{metre}$ is bent at its midpoint to make $90°$ angle. The distance of the centre of mass from the centre of the rod is