Center of Mass and System of Particles

Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity \({v}_{1}\) while body B is at rest before collision. The velocity of the system after collision is \({v}_{2}\). The ratio \({v}_{1}:{v}_{2}\) is :

[NEET 2024]

Two identical bodies A and B of equal masses have initial velocities \({\vec{v}}_{1}=4\hat{i}m/s\) and \({\vec{v}}_{2}=4\hat{j}m/s\) respectively. The body A has acceleration \({\vec{a}}_{1}=6\hat{i}+6\hat{j}m/{s}^{2}\) while the acceleration of the other body B is zero. The centre of mass of the two bodies moves in ..... path.

[JEE Main 2026, 6 Apr (Shift 2)]

Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity \({v}_{1}\) while body B is at rest before collision. The velocity of the system after collision is \({v}_{2}\). The ratio \({v}_{1}:{v}_{2}\) is :

[NEET 2024]

Given below are two statements : one is labelled as Assertion \(A\) and the other is labelled as Reason R.
Assertion A : Body ' \(P\) ' having mass \(M\) moving with speed ' \(u\) ' has head - on collision elastically with another body ' \(Q\) ' having mass ' \(m\) ' initially at rest. If \(m<Reason R : During elastic collision, the momentum and kinetic energy are both conserved. In the light of the above statements, choose the most appropriate answer from the options given below:

[JEE Main 2021, 26 Feb (Shift 1)]

Two particles of equal mas \( m \) have respective initial velocities u \( \hat{i} \) and \( u\left(\frac{\hat{i}+\hat{j}}{2}\right) \). They collide completely inelastically. The energy lost in the process is

[JEE Main 2020, 9 Jan (Shift 1)]