The principle of conservation of linear momentum can be strictly applied during a collision between two particles provided the time of impact is

An object of mass $M$ is at rest on smooth horizontal surface. Objects of different masses collide head on elastically to the object of mass $M$ . All colliding objects are having fixed same kinetic energy and in each case mass $M$ is supposed to be at rest initially. In this experiment the kinetic energy transferred to stationary mass $(M)$ depend on linear momentum of incoming colliding mass then energy transferred to $M$ in a collision is

A moving particle of mass $m,$ makes a head on elastic collision with another particle of mass $2\,m,$ which is initially at rest. The percentage loss in energy of the colliding particle on collision, is close to .................. $\%$

Two equal masses ${m_1}$ and ${m_2}$ moving along the same straight line with velocities $+ 3 \,m/s$ and $-5\, m/s$ respectively collide elastically. Their velocities after the collision will be respectively

A ball of mass $m$ moving with speed $u$ collides with a smooth horizontal surface at angle $\theta$ with it as shown in figure. The magnitude of impulse imparted to surface by ball is [Coefficient of restitution of collision is $e$]

A particle of mass $m$ moving with velocity $\left( {3\hat i + 2\hat j} \right)\,m/s,$ collides with another body of mass $M$ and finally moves with velocity $\left( {-2\hat i + \hat j} \right)\,m/s,$ then during the collision