Home
Class 12
PHYSICS
The velocity components of a particle mo...

The velocity components of a particle moving in the `xy` plane of the reference frame K are equal to `v_x` and `v_y`. Find the velocity `v^'` of this particle in the frame K in the positive direction of its x axis.

Text Solution

Verified by Experts

By the velocity addition formula
`v_x'=(v_x-V)/(1-(Vv_x)/(c^2)), v_y'=(v_ysqrt(1-V^2//c^2))/(1-(v_xV)/(c^2))`
and `v^'=sqrt(v_x'^2+v_y'^2)=(sqrt((v_x-V)^2+v_y^2(1-V^2//c^2)))/(1-(v_xV)/(c^2))`
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL FUNDAMENTALS OF MECHANICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Hydrodynamics|25 Videos
  • OSCILLATIONS AND WAVES

    IE IRODOV, LA SENA & SS KROTOV|Exercise Electromagnetic Waves, Radiation|36 Videos
  • THERMODYNAMICS AND MOLECULAR PHYSICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Transport Phenomena|38 Videos
IE IRODOV, LA SENA & SS KROTOV-PHYSICAL FUNDAMENTALS OF MECHANICS-Relativistic Mechanics
  1. At two points of the reference frame K two events occurred separated b...

    Text Solution

    |

  2. The space-time diagram, shows three events A, B, and C which occurred ...

    Text Solution

    |

  3. The velocity components of a particle moving in the xy plane of the re...

    Text Solution

    |

  4. Two particles move toward each other with velocities v1=0.50c and v2=0...

    Text Solution

    |

  5. Two rods having the same proper length l0 move lengthwise toward each ...

    Text Solution

    |

  6. Two relativistic particles move at right angles to each other in a lab...

    Text Solution

    |

  7. An unstable particle moves in the reference frame K^' along its y^' ax...

    Text Solution

    |

  8. A particle moves in the frame K with a velocity v at an angle theta to...

    Text Solution

    |

  9. The rod AB oriented parallel to the x^' axis of the reference frame K^...

    Text Solution

    |

  10. The frame K^' moves with a constant velocity V relative to the frame K...

    Text Solution

    |

  11. An imaginary space rocket launched from the Earth moves with an accele...

    Text Solution

    |

  12. From the conditions of the foregoing problem determine the boost time ...

    Text Solution

    |

  13. How many times does the relativistic mass of a particle whose velocity...

    Text Solution

    |

  14. The density of a stationary body is equal to rho0. Find the velocity (...

    Text Solution

    |

  15. A proton moves with a momentum p=10.0GeV//c, where c is the velocity o...

    Text Solution

    |

  16. Find the velocity at which the relativistic momentum of a particle exc...

    Text Solution

    |

  17. What work has to be performed in order to increase the velocity of a p...

    Text Solution

    |

  18. Find the velocity at which the kinetic energy of a particle equals its...

    Text Solution

    |

  19. At what values of the ratio of the kinetic energy to rest energy can t...

    Text Solution

    |

  20. Find how the momentum of a particle of rest mass m0 depends on its kin...

    Text Solution

    |