Home
Class 11
PHYSICS
The figure shows the positions and veloc...

The figure shows the positions and velocity of two particle. If the particle move under the mutual attraction of each other, then the position of centre of mass at `t = 1 s` is :-

Text Solution

Verified by Experts

The correct Answer is:
`x=6m`

`x_(CM)=(1(2)+1(8))/(1+1)=5`
`v_(CM)=(1(5)+1(-3))/(1+1)=1`
`a_(CM)0`[There is no external force on the system]
`s=ut+(1)/(2)at^(2)`
`rArrx_(t=1)-5=(1)(1)+(1)/(2)(0)(1)^(2)" "rArr" "x_(CM)=6`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise EXERCISE-4 (SECTION-A) (JEE-ADVANCED Previous Year Questions)|11 Videos
  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise EXERCISE-4 (SECTION-A) (Comprehension)|3 Videos
  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise EXERCISE-2[MATRIX TYPE]|2 Videos
  • GRAVITATION

    BANSAL|Exercise EXERCISE -4 Section - B|6 Videos

Similar Questions

Explore conceptually related problems

The figure shows the positions and velocity of two particle. If the paritcle move under the mutual attraction of each other, then the position of centre of mass at t = 1 s is :-

Figure shows position and velocities of two particles moving under mutual gravitational attraction in space at time t = 0 . The position of centre of mass after one second is '"*"'m . Fill "'*"' .

Figure shows the position of a particle moving on the X-axis as a function of time.

Figure shows the position of a particle moving on the x - axis as a function of time

What is the position vector of centre of mass of two particles of equal masses ?

V_(x) is the velocity of a particle of a particle moving along the x- axis as shown. If x=2.0m at t=1.0s , what is the position of the particle at t=6.0s ?

Two identical particles move towards each other with velocity 2v and v respectively. The velocity of centre of mass is

Two particle of mass 4 kg & 2kg are located as shown in figure then find out the position of centre of mass.

Obtain an expression for the position vector of centre of mass of a two particle system.

BANSAL-CENTRE OF MASS & MOMENTUM CONSERVATION-EXERCISE-3 (Miscellaneous Exercise)
  1. Four particles of mass 5,3,2,4 kg are at the points (1,6),(-1,5),(2,-3...

    Text Solution

    |

  2. The linear mass density of a ladder of length l increases uniformly fr...

    Text Solution

    |

  3. The figure shows the positions and velocity of two particle. If the pa...

    Text Solution

    |

  4. Two cars intially at rest are free to move in the x direction. Car A h...

    Text Solution

    |

  5. A 45.0kg girl is standing on plank that has a mass of 150kg. The plank...

    Text Solution

    |

  6. Two balls of equal mass are projected upwards simultaneously, one from...

    Text Solution

    |

  7. In the arrangement shown in Figure, mA=2kg and mB=1kg. String is light...

    Text Solution

    |

  8. Three carts move on a frictionless track with inertias and velocities ...

    Text Solution

    |

  9. A body is thrown vertically upwards from ground with speed of 10m//s. ...

    Text Solution

    |

  10. A small block of mass 2m initially rests at the bottom of a fixed circ...

    Text Solution

    |

  11. A spaceship travelling along +y axis with speed v(0) suddenly shoots o...

    Text Solution

    |

  12. A smooth sphere A of mass 0.1kg is moving with speed 5m//s when it col...

    Text Solution

    |

  13. A force F acts on an object (mass=1 kg) which is initially at rest as ...

    Text Solution

    |

  14. Two bolcks A & B are connected by a spring of stiffness 512N//m and pl...

    Text Solution

    |

  15. Two identical blocks of mass m, each are connected by a spring as show...

    Text Solution

    |

  16. Bullets of mass 10 g each are fired from a machine gun at rate of 60 b...

    Text Solution

    |

  17. Two spacemen are floating together with zero speed in a gravity-free r...

    Text Solution

    |

  18. A rifle of mass M is initially at rest but free to recoil. It fires a...

    Text Solution

    |

  19. A 24-kg projectile is fired at an angle of 53^(@) above the horizontal...

    Text Solution

    |

  20. Two masses A and B connected with an inextensible string of length l l...

    Text Solution

    |