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\vec{v}_1 + m_2\vec{v}_2}{m_1 +

Vedclass · Accepted Answer

$\frac{m_1v_1 - m_2v_2}{m_1 + m_2}$

Vedclass · Answer

(B) The velocity of the centre of mass $(V_{cm})$ of a system of particles is given by the formula:$V_{cm} = \frac{m_1\vec{v}_1 + m_2\vec{v}_2}{m_1 + m_2}$In this problem,the particles move towards each other. Let the direction of $m_1$ be positive. Then the velocity of $m_1$ is $\vec{v}_1 = v_1$ and the velocity of $m_2$ is $\vec{v}_2 = -v_2$ (since it moves in the opposite direction).Substituting these values into the formula:$V_{cm} = \frac{m_1(v_1) + m_2(-v_2)}{m_1 + m_2}$$V_{cm} = \frac{m_1v_1 - m_2v_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

Two masses $m_1$ and $m_2$ start to move towards each other due to mutual gravitational force. If the distance covered by $m_1$ is $x$,then the distance covered by $m_2$ is:

$A$ system consists of two particles of masses $m_1$ and $m_2$. If the particle of mass $m_1$ is moved towards the centre of mass through a distance $d$,then the distance the second particle should be moved,so as to keep the centre of mass at the same position is

Two masses of $1 \ kg$ and $2 \ kg$ are hanged from a pulley as shown in the figure. If the system starts from rest,find the distance travelled by the centre of mass in the first two seconds.

$A$ man weighing $80\, kg$ is standing at the centre of a flat boat and he is $20\, m$ from the shore. He walks $8\, m$ on the boat towards the shore and then halts. The boat weighs $200\, kg$. How far is he from the shore at the end of this time?

Two persons of mass $m_1$ and $m_2$ are standing at the two ends $A$ and $B$ respectively,of a trolley of mass $M$ as shown. Choose the incorrect statement,if $m_1 = m_2 = m$ and both the persons jump one by one,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module