A system consists of two particles of masses | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The velocity of the centre of mass $(V_{cm})$ of a system of particles is given by the formula:$V_{cm} = \frac{m_1 v_1 + m_2 v_2}{m_1 + m_2}$In th

Vedclass · Accepted Answer

$\frac{m_1 v_1 - m_2 v_2}{m_1 + m_2}$

Vedclass · Answer

(B) The velocity of the centre of mass $(V_{cm})$ of a system of particles is given by the formula:$V_{cm} = \frac{m_1 v_1 + m_2 v_2}{m_1 + m_2}$In this problem,the particles are moving towards each other. Let us define the direction of $m_1$ as positive and $m_2$ as negative (or vice versa) to account for their relative motion.If $v_1$ is the velocity of $m_1$ in the positive direction,then $v_2$ (moving towards $m_1$) must be in the negative direction,i.e.,$-v_2$.Substituting these into the formula:$V_{cm} = \frac{m_1 v_1 + m_2 (-v_2)}{m_1 + m_2} = \frac{m_1 v_1 - m_2 v_2}{m_1 + m_2}$Thus,the correct option is $B$.

$A$ system consists of two particles of masses $m_1$ and $m_2$ separated by a distance $r$. If the particles move towards each other with velocities $v_1$ and $v_2$ respectively,the velocity of the centre of mass of the system is:

Similar Questions

In the system of two particles of masses $m_1$ and $m_2$,the first particle is moved by a distance $d$ towards the centre of mass. To keep the centre of mass unchanged,the second particle will have to be moved by a distance

In a system of two particles of masses $m_{1}$ and $m_{2}$,the first particle is moved by a distance $d$ towards the centre of mass. To keep the centre of mass unchanged,the second particle will have to be moved by a distance:

Two particles which are initially at rest move towards each other under the action of their mutual attraction. If their speeds are $v$ and $2v$ at any instant,then the speed of the center of mass of the system is,

The equation $M\vec{A} = \vec{F}_{ext}$ denotes what?

Two balls are thrown in the air. The second ball is thrown $2 \ s$ after the first ball. What is the acceleration of the center of mass of the two balls while they are in the air?

Vedclass Test Series

Exam Paper Generator

Online Exam Module