Home
Class 11
PHYSICS
Consider the following two statements: ...

Consider the following two statements:
A. linear momentum of the system remains constant.
B. Centre of mass of the system remains at rest

A

A implies B and B implies A

B

A does not imply B and B does not imply A.

C

A implies B but B does not imply A

D

B implies A but A does not imply B

Text Solution

Verified by Experts

The correct Answer is:
D

If CM is at rest, it definitetlyy means momentum of hte system is constant. But momentum of the system is constant, it does not mean center of mass is at rest.
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    DC PANDEY ENGLISH|Exercise Assertion and reason|21 Videos
  • CENTRE OF MASS

    DC PANDEY ENGLISH|Exercise Match the coloumns|9 Videos
  • CENTRE OF MASS

    DC PANDEY ENGLISH|Exercise Check points|50 Videos
  • CALORIMETRY AND HEAT TRANSFER

    DC PANDEY ENGLISH|Exercise Medical entrance s gallery|38 Videos
  • CENTRE OF MASS, IMPULSE AND MOMENTUM

    DC PANDEY ENGLISH|Exercise Comprehension type questions|15 Videos

Similar Questions

Explore conceptually related problems

Consider the following two statements: A. Kinear momentum of the system remains constant. B. Centre of mass of the system remains at rest

Calculate centre of mass of the system

Consider the following two statements: A. Linear momentum of a system of partcles is zero. B. Kinetic energ of a system of particles is zero.

Consider the following two statements: A. Linear momentum of a system of particles is zero. B. Kinetic energy of a system of particles is zero.

According to the principle of conservation of linear momentum, if the external force acting on the system is zero, the linear momentum of the system will remain conserved. It means if the centre of mass of a system is initially at rest, it will remain, at rest in the absence of external force, that is, the displacement of centre of mass will be zero. Two blocks of masses 'm' and '2m' are placed as shown in Fig. There is no friction anywhere. A spring of force constant k is attached to the bigger block. Mass 'm' is kept in touch with the spring but not attached to it. 'A' and 'B' are two supports attached to '2m' . Now m is moved towards left so that spring is compressed by distance 'x' and then the system is released from rest. Find the relative velocity of the blocks after 'm' leaves contact with the spring.

According to the principle of conservation of linear momentum if the external force acting on the system is zero, the linear momentum of the system will remain conserved. It means if the centre of mass of a system is initially at rest, it will remain at rest in the absence of external force, that is, the displacement of centre of mass will be zero. A plank of mass M is placed on a smooth horizontal surface. light identical springs, each of stiffness K , are rigidly connected to struts at the end of the plank as shown in Fig. When the springs are in their unextended position, the distance between their free ends is 3l . A block of mass m is placed on the plank and pressed against one of the springs so that it is compressed to l . To keep the block at rest it is connected to the strut means of a light string. Initially, the system is at rest, Now the string is burnt. The maximum kinetic energy of the block m is

The momentum of a system with respect to centre of mass

Consider the following two statements: A The linear momentum of a particle is independent of the frame of reference. B. The kinetic energy of a particle is independent of the frame of reference

If temperature of the system remains constant during the course of change, the change is

The magnitude of acceleration of centre of mass of the system is

DC PANDEY ENGLISH-CENTRE OF MASS-Taking it together
  1. If the net external forces acting on the system oif particles is zero,...

    Text Solution

    |

  2. The bob A of a simple pendulum is released when the string makes an a...

    Text Solution

    |

  3. Consider the following two statements: A. linear momentum of the syst...

    Text Solution

    |

  4. Consider the following two statements: A. Linear momentum of a syste...

    Text Solution

    |

  5. A particle of mass m has momentum p. Its kinetic energy will be

    Text Solution

    |

  6. A particle is projected from a point of an angle with the horizontal. ...

    Text Solution

    |

  7. A block of mass m at rest is acted upon by a force F for a time t. The...

    Text Solution

    |

  8. A 'T' shaped object with dimensions shown in the figure, is lying on a...

    Text Solution

    |

  9. A cricket ball of mass 150g moving with a speed of 126km//h hits at th...

    Text Solution

    |

  10. Two identical ball bearings in contact with each other and resting on ...

    Text Solution

    |

  11. During inelastic collision between two bodies, which of the following ...

    Text Solution

    |

  12. Conservation of momentum in a collision beween particles can be unders...

    Text Solution

    |

  13. For which of the following does the centre of mass lie outside the bod...

    Text Solution

    |

  14. Which of the following points is the likely position of the centre of ...

    Text Solution

    |

  15. A cannon ball is fired with a velocity 200m / sec at an angle of 60° w...

    Text Solution

    |

  16. A particle of mass m moving with velocity u makes an elastic one-dimen...

    Text Solution

    |

  17. Two balls of equal mass have a head on collision with speed 4ms^(-1) e...

    Text Solution

    |

  18. A metal ball falls from a height of 32 metre on a steel plate. If the ...

    Text Solution

    |

  19. A mass m with velocity u strikes a wall normally and returns with same...

    Text Solution

    |

  20. A projectile of mass m is fired with a velocity v from point P at an a...

    Text Solution

    |