Home
Class 12
PHYSICS
If two particles of masses m(1) and m(2)...

If two particles of masses `m_(1)` and `m_(2)` are projected vertically upwards with speed `v_(1)` and `v_(2)`, then the acceleration of the centre of mass of the system is

A

`(g)/(2)`

B

`g`

C

`(m_(1)g)/(m_(1)+m_(2))`

D

`(m_(2)g)/(m_(1)+m_(2))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE|Exercise Assignment (Section - C) Objective Type Questions (More than one option are correct)|28 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE|Exercise Assignment (Section - D) Linked Comprehension Type Questions|20 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE|Exercise Assignment (Section - A) Objective Type Questions (One option is correct)|62 Videos

  • SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS

    AAKASH INSTITUTE|Exercise Assignment (Section-D (Assertion and reason))|5 Videos

  • TEST 1

    AAKASH INSTITUTE|Exercise EXERCISE|9 Videos

Similar Questions

Explore conceptually related problems

The velocities of two particles of masses m_(1) and m_(2) relative to an observer in an inertial frame are v_(1) and v_(2) . Determine the velocity of the center of mass relative to the observer and the velocity of each particle relative to the center of mass.

Two particles having masses m_(1) and m_(2) are moving with velocities vec(V)_(1) and vec(V)_(2) respectively. vec(V)_(0) is velocity of centre of mass of the system. (a) Prove that the kinetic energy of the system in a reference frame attached to the centre of mass of the system is KE_(cm) = (1)/(2)mu V_(rel)^(2) . Where mu=(m_(1)m_(2))/(m_(1)+m_(2)) and V_(rel) is the relative speed of the two particles. (b) Prove that the kinetic energy of the system in ground frame is given by KE=KE_(cm)+(1)/(2)(m_(1)+m_(2))V_(0)^(2) (c) If the two particles collide head on find the minimum kinetic energy that the system has during collision.

Two stones of masses m and 2 m are projected vertically upwards so as to reach the same height. The ratio of the kinetic energies of their projection is

A stationary partical explodes into two partical of a masses m_(1) and m_(2) which move in opposite direction with velocities v_(1) and v_(2) . The ratio of their kinetic energies E_(1)//E_(2) is

Two particles of equal mass 'm' are projected from the ground with speed v_(1) and v_(2) at angles theta_(1) and theta_(2) at the same times as shown in figure. The centre of mass of the two particles.

Two particles of mass m_(1) and m_(2) are projected from the top of a tower. The particle m_(1) is projected vertically downward with speed u and m_(2) is projected horizontally with same speed. Find acceleration of CM of system of particles by neglecting the effect of air resistance.

Two masses, m_(1) and m_(2) , are moving with velocities v_(1) and v_(2) . Find their total kinetic energy in the reference frame of centre of mass.

Two particle of masses m and 2m are coliding elastically as given in figure. If V_(1) and V_(2) speed of particle just after collision then

AAKASH INSTITUTE-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Assignment (Section - B) Objective Type Questions (One option is correct)
  1. The velocity of the centre of mas of the system of two particle each o...

    Text Solution

    |

  2. When a stick of length L mass M intially upright on a fricitionless fl...

    Text Solution

    |

  3. If two particles of masses m(1) and m(2) are projected vertically upwa...

    Text Solution

    |

  4. Two partticles A and B intially at rest move towards each other under ...

    Text Solution

    |

  5. A rod of length 2l is bent as shown in figure. Coordinates of centre o...

    Text Solution

    |

  6. Two particles of equal mass are projected simultaneously with speeds 2...

    Text Solution

    |

  7. A circular plate of diameter 'a' is kept in contact with a square plat...

    Text Solution

    |

  8. A body of mass m is projected from ground for horizontal range R. At t...

    Text Solution

    |

  9. A man of mass 50 kg us standing on a 100 kg plank kept on a fricitonle...

    Text Solution

    |

  10. A man of mass m jumps onto a boat which has a mass M. If the person ha...

    Text Solution

    |

  11. Two smooth prisms of similar right-triangular sections are arranged on...

    Text Solution

    |

  12. Spring Gun Recoil A loaded spring gun, initially at rest on a horizo...

    Text Solution

    |

  13. Two blocks of mass 2kg and 5kg are given speed as shown in the figure....

    Text Solution

    |

  14. A ball is allowed to fall from rest on a horizontal floor from a heigh...

    Text Solution

    |

  15. A particle is dropped from rest from a height h(0) on a horizontal flo...

    Text Solution

    |

  16. During collision between the objects.

    Text Solution

    |

  17. A particle of mass m moving with a speed u strikes a smooth horizontal...

    Text Solution

    |

  18. A particle collides with a smooth, surface with speed u at an angle th...

    Text Solution

    |

  19. A particle of mass m strikes a disc of radius R and mass m with a spee...

    Text Solution

    |

  20. Two identical billiard balls are in contact on a table. A third identi...

    Text Solution

    |