(C) According to Newton's third law,internal forces always exist in equal and opposite pairs. Since the net internal force $\vec{F}_{int} = \sum \vec{

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The linear momentum of the system is conserved.

(C) According to Newton's third law,internal forces always exist in equal and opposite pairs. Since the net internal force $\vec{F}_{int} = \sum \vec{F}_{ij} = 0$,the rate of change of linear momentum $\frac{d\vec{P}}{dt} = \vec{F}_{ext} + \vec{F}_{int} = \vec{F}_{ext}$. If only internal forces act on the system,$\vec{F}_{ext} = 0$,which implies $\frac{d\vec{P}}{dt} = 0$. Therefore,the linear momentum $\vec{P}$ of the system remains constant,meaning it is conserved.

Class 11 Physics Newton's Laws of Motion and Friction Conservation of Linear Momentum

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Under the influence of mutual internal forces,which of the following is true for a system?

A
The linear momentum of the system increases.
B
The linear momentum of the system decreases.
C
The linear momentum of the system is conserved.
D
The angular momentum of the system increases.

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Newton's Laws of Motion and Friction

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Conservation of Linear Momentum

$A$ particle of mass $4 M$ which is initially at rest explodes into three pieces of masses $M, M$ and $2 M$. The equal masses move along $X$ and $Y$-axes with velocities $4 \ m s^{-1}$ and $6 \ m s^{-1}$ respectively. The magnitude of the velocity of the heavier mass is

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$A$ man of mass $m$ is standing on a platform of mass $M$ kept on a smooth ice surface. If the man starts moving on the platform with a speed $v$ relative to the platform,with what velocity does the platform recoil relative to the ice?

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$A$ body at rest breaks up into $3$ parts. If $2$ parts having equal masses $m$ fly off perpendicularly to each other,each with a velocity of $12 \, m/s$,then the velocity of the third part,which has $3$ times the mass of each part,is:

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$A$ mass of $1 \; kg$ is thrown up with a velocity of $100 \; m/s$. After $5 \; s$,it explodes into two parts. One part of mass $400 \; g$ comes down with a velocity of $25 \; m/s$. Calculate the velocity of the other part.

MediumAIPMT 2000

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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. When both the persons jump simultaneously with $u_{rel}$ with respect to the trolley,then the velocity of the trolley is

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Under the influence of mutual internal forces,which of the following is true for a system?

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$A$ particle of mass $4 M$ which is initially at rest explodes into three pieces of masses $M, M$ and $2 M$. The equal masses move along $X$ and $Y$-axes with velocities $4 \ m s^{-1}$ and $6 \ m s^{-1}$ respectively. The magnitude of the velocity of the heavier mass is

$A$ man of mass $m$ is standing on a platform of mass $M$ kept on a smooth ice surface. If the man starts moving on the platform with a speed $v$ relative to the platform,with what velocity does the platform recoil relative to the ice?

$A$ body at rest breaks up into $3$ parts. If $2$ parts having equal masses $m$ fly off perpendicularly to each other,each with a velocity of $12 \, m/s$,then the velocity of the third part,which has $3$ times the mass of each part,is:

$A$ mass of $1 \; kg$ is thrown up with a velocity of $100 \; m/s$. After $5 \; s$,it explodes into two parts. One part of mass $400 \; g$ comes down with a velocity of $25 \; m/s$. Calculate the velocity of the other part.

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. When both the persons jump simultaneously with $u_{rel}$ with respect to the trolley,then the velocity of the trolley is

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