Home
Class 11
PHYSICS
A particle is projected at 60(@) to the...

A particle is projected at ` 60(@)` to the horizontal with a kinetic energy `K` . The kinetic energy at the highest point is

Text Solution

Verified by Experts

Initial kinetic energy is ` K = 1/2 mu^(2)`
The velocity at highest point `v_(x) = u cos theta`.
Kinetic energy of a particle at highest point
`K_(H) = 1/2 (mv_(x)^(2)) = 1/(2) mu^(2) cos^(2) theta`
` = K cos ^(2) 60^(@) = k/4`
Promotional Banner

Topper's Solved these Questions

  • WORK , ENERGY & POWER

    NARAYNA|Exercise EVALUATE YOURSELF-1|8 Videos
  • WORK , ENERGY & POWER

    NARAYNA|Exercise Evaluate Yourself - 2|8 Videos
  • WAVES

    NARAYNA|Exercise Exercise-IV|56 Videos
  • WORK POWER AND ENERGY

    NARAYNA|Exercise Level-VI (Integer)|12 Videos

Similar Questions

Explore conceptually related problems

A particle is projected at 60^0 to the horizontal with a kinetic energy K . The kinetic energy at the highest point is

A particle is projected at 60 ^@ to the horizontal with kinetic energy K. Its kinetic energy at the highest point is :

A cricket ball is hit 30^(@) with the horizontal with kinetic energy K. The kinetic energy at the highest point is

A stone is thrown at an angle of 45^(@) to the horizontal with kinetic energy K. The kinetic energy at the highest point is

A body projected at an angle theta to the horizontal with kinetic energy E_k . The potential energy at the highest point of the trajectory is

A paricle is projected at an anged theta from the horizontal with kinetic energy (T). What is the kinetic energy of the particle at the highest point ?

A particle of mass m is projected at an angle with horizontal with kinetic energy E. the potential energy at the top of its trajectory is E/2 . Find the range.

NARAYNA-WORK , ENERGY & POWER -EXERCISE IV
  1. A particle is projected at 60(@) to the horizontal with a kinetic ene...

    Text Solution

    |

  2. A large slab of mass 5kg lies on a smooth horizontal surface, with a b...

    Text Solution

    |

  3. In the pulley - block system shown in figure, strings are light. Pulle...

    Text Solution

    |

  4. A chain AB of length l is located in a smooth horizontal tube so that ...

    Text Solution

    |

  5. A ball of mass m is released from A inside a smooth wedge of mass m as...

    Text Solution

    |

  6. A bob of mas M is suspended by a massless string of length L. The hor...

    Text Solution

    |

  7. A simple pendulum is vibrating with an angular amplitude of 90^(@) as ...

    Text Solution

    |

  8. A projectile is fixed on a horizontal ground. Coefficient of restituti...

    Text Solution

    |

  9. A ball A of mass 3 m is placed at a distance d from the wall on a smoo...

    Text Solution

    |

  10. Figure given below shows the variation of potential energy function U(...

    Text Solution

    |

  11. A particles moves along a circle of a fixed radius with a variable acc...

    Text Solution

    |

  12. A particle is moving along a circle of fixed radius such thta the powe...

    Text Solution

    |

  13. Two blocks having masses 8 kg and 16 kg are connected to the two ends ...

    Text Solution

    |

  14. Figure shows a spring fixed at the bottom end of an incline of inclina...

    Text Solution

    |

  15. A heavy flexible uniform chain of length pi r and mass lambda pi r lie...

    Text Solution

    |

  16. A body slides without friction from a height H = 60 cm and then loops ...

    Text Solution

    |

  17. A heavy particle hanging from a fixed point by a light inextensible st...

    Text Solution

    |

  18. A cricket ball of mass 150 g moving with a speed of 123 km/h hits at t...

    Text Solution

    |

  19. n elastic balls are placed at rest on a smooth horizontal plane which ...

    Text Solution

    |

  20. The 50 N collar starts from rest at A and is lifted with a constant sp...

    Text Solution

    |

  21. A hose pipe has a diameter of 2.5 cm and is required to direct a jet o...

    Text Solution

    |