Home
Class 11
PHYSICS
Two particles A and B intiallly at rest,...

Two particles A and B intiallly at rest, move towards each other under a mutual force of attraction. AT the instant when the speed of A is v and the speed of B is 2 v, the speed of the centre of mass of the system is

A

`3V`

B

`V`

C

`1.5V`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D
We know that `F_(ext)=Ma_(CM)`…….i
We consider the two particles in a system. Mutual force of attraction is an internal force. There are no exeternal forces acting on the system. From eqn i we get
`a_(CM)=0`
since initial `v_(CM)=0`, therefore final `v_(CM)=0`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise AR_TYPE|2 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise LC_TYPE|8 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise SCQ_TYPE|29 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|11 Videos

  • SOUND WAVES AND DOPPLER EFFECT

    CENGAGE PHYSICS ENGLISH|Exercise Integer|16 Videos

Similar Questions

Explore conceptually related problems

Two particles A and B initially at rest, move towards each other by mutual force of attraction. At the instant when the speed of A is n and the speed of B is 3n , the speed of the centre of mass of the system is

Two partticles A and B intially at rest move towards each other under a mutual force of attraction. The instant at which velocity of A is 4v and velocity of B is 2v , the velocity of centre of mass of the system at that instant will be

Knowledge Check

  • Two particles A and B, initially at rest, moves towards each other under a mutual force of attraction. At the instant when the speed of A is v and the speed of B is 2 v, the speed of centre of mass is

    A
    zero
    B
    v
    C
    1.5 v
    D
    3 v

    • Similar Questions

    Explore conceptually related problems

    Two particles A and B with particle A having mass m, are moving towards each other under their mutual force of attraction. If their speeds at certain instant are v and 2v respectively, then find the K.E. of the system.

    10 Two particles of masses m_(1) and m_(2) initially at rest start moving towards each other under their mutual force of attraction. The speed of the centre of mass at any time t, when they are at a distance r apart, is

    Two particles of mass m_(1) and m_(2) are approaching towards each other under their mutual gravitational field. If the speed of the particle is v, the speed of the center of mass of the system is equal to :

    Two particles of masses 2 kg and 3 kg are at rest separated by 10 m. If they move towards each other under mutual force of attraction, the position of the point where they meet is

    Two particles of masses 4 kg and 6 kg are at rest separated by 20 m. If they move towards each other under mutual force of attraction, the position of the point where they meet is

    (A) : Two particles (starting from rest) move towards each other under a mutual force of attraction. The velocity of their c.m is zero. (R ) : Internal forces do not alter the state of motion of c.m.

    Two particles of equal mass are moving along the same line with the same speed in the same direction. What is the speed of the centre of mass of the system ?

    Home
    Profile