Home
Class 12
PHYSICS
Two objects with masses m(1) and m(2) ar...

Two objects with masses `m_(1) and m_(2)` are moving along the x-axis in the positive direction with speeds `v_(1) , and v_(2)` , respectively, where `v_(1)` is less than `v_(2)` . The speed of the centre of mass of this system of two bodies is

A

greater than `v_(2)`

B

Equal to `v_(1)`

C

equal to the average of `v_(1) and v_(2)`

D

greater than `v_(1)` and less than `v_(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`V_(cm) = (m_(1)v_(1) + m_(2)v_(2))/(m_(1) + m_(2))`.
Promotional Banner

Topper's Solved these Questions

  • NEET-UG DRILL TEST 15

    NEET MAJOR TEST (COACHING)|Exercise PHYSICS|45 Videos

  • TEST 1

    NEET MAJOR TEST (COACHING)|Exercise PHYSICS|74 Videos

Similar Questions

Explore conceptually related problems

Two particles of mass 1 kg and 0.5 kg are moving in the same direction with speed of 2 m//s and 6 m/s respectively on a smooth horizontal surface. The speed of centre of mass of the system is

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

Two bodies of masses 2 kg and 1 kg are moving along the same line with speeds 2ms^(-1) and 5 ms^(-1) respectively. What is the speed of the centre of mass of the system if the two bodies are moving (i) in same direction and (ii) in opposite directions?

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 point particles with masses m_(1) and m_(2) are thrown at angles theta_(1) and theta_(2) with horizontal with speeds v_(1) and v_(2) respectively. R, H and T are range, height and total time of flight respectively. Let v_(1) sin theta_(1) =v_(2) sin theta_(2) . Then for both particles

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 point charges "q, 2m" and "2q, m" are released from a separation "d" from rest.Find their speeds v_(1) and v_(2) respectively after a long time.

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.

Relative speed of two bodies moving in same direction with speed u and v m/s: where (u>v)

Two bodies of masses (m_(1)) and (m_(2)) are droppded from heithts h_(1) and h_(2) , respectively. They reach the ground after time t_(1) and t_(2) and strike the ground with v_(1) and v_(2) , respectively Choose the correct relations from the following.

NEET MAJOR TEST (COACHING)-SCORE TEST 2-PHYSICS
  1. Two sources of light that both have wavelengths equal to 700nm are sep...

    Text Solution

    |

  2. The centres of the turns of a toroid form a circle with a radius of 14...

    Text Solution

    |

  3. Molten-wax of mass m drops on a block of mass M, which is oscillating ...

    Text Solution

    |

  4. How much work is done per cycle by a gas following the path shown on t...

    Text Solution

    |

  5. Diagrams show readings of a screw gauge. Figure (i) shows the zero err...

    Text Solution

    |

  6. Let's assume that the car, of mass 1550 kg, can reach a speed of 26.8 ...

    Text Solution

    |

  7. Two objects with masses m(1) and m(2) are moving along the x-axis in t...

    Text Solution

    |

  8. In an x-ray tube, for an operating voltage, the cut off wavelength is ...

    Text Solution

    |

  9. You put three identical coins on a turntable at different distances fr...

    Text Solution

    |

  10. Suppose the distance between the slits in a double-slit experiment is ...

    Text Solution

    |

  11. The human body transports heat from the interior tissues, at temperatu...

    Text Solution

    |

  12. Two planets have the same mass, M. Each planet has a constant density,...

    Text Solution

    |

  13. A conducting ring is moving from left to right through a uniform magne...

    Text Solution

    |

  14. The amount of work done to move a positive point charge q on an equipo...

    Text Solution

    |

  15. Equation of messages signal m = 2 sin omega(m)(t) and carrier signal c...

    Text Solution

    |

  16. An annular metal disc has a mass of 10 kg, inner radius of 4 m, and ou...

    Text Solution

    |

  17. In a vernier calliper, vernier scale has 20 division which match with ...

    Text Solution

    |

  18. A point source of light is located at the bottom of a steel tank, and ...

    Text Solution

    |

  19. A galvanometer shows a reading of 0.65 mA. When a galvanometer is shun...

    Text Solution

    |

  20. We have two radioactive nuclei A and B. Both convert into a stable nuc...

    Text Solution

    |