Home
Class 11
PHYSICS
A particle is thrown from the top of a t...

A particle is thrown from the top of a tower of height `h` with speed `v_0` at an unknown angle. Find the speed with which it strikes the ground.

Text Solution

Verified by Experts


`K_1=(1)/(2)mv_0^2`,`U_1=mgh`
`K_2=(1)/(2)mv^2`,`U_2=0`
`K_1+U_1=K_2+U_2`
`(1)/(2)mv_0^2+mgh=(1)/(2)mv^2+0`
`v=sqrt(v_0^2+2gh)`
In the above problem answer will be same if the particle is projected in different manners as shown.
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    CP SINGH|Exercise EXERCISES|92 Videos

  • VECTORS

    CP SINGH|Exercise Excercises|66 Videos

Similar Questions

Explore conceptually related problems

A particle is dropped from the top of a tower of height 80 m . Find the time of jurney and the speed with which it strikes the ground.

A particle is projected from the top of a tower of height h with a speed u at an angle theta above the horizontal . T_(1) =Time taken by the projectile to reach the height of tower again . T_(2) =Time taken by the projectile to move at right angle to initial direction of motion . V_(1) =Speed of the projectile when it moves at an angle theta//2 with the horizontal . V_(2) =Speed with projectile strikes the ground . .

A projectile is fired from the top of an 80 m high cliff with an initial speed of 30(m)//(s) at an unknown angle. The speed when its hits the ground.

A stone is thrown from the top of a tower of height h=10m with speed v-10m//s . The distance of the landing point on the ground from the foot of the tower is Rle2sqrt(3)k in meter. Calculate k . Take g=10m//s^(2)

A body dropped from a height h with an initial speed zero, strikes the ground with a velocity 3km/h . Another body of same mass is dropped from the same height h with an initial speed -u' = 4km//h . Find the final velocity of second body with which it strikes the ground

In the figures shown, three particles are thrown from a tower of height 40 m as shown in figure. In each case find the time when the particles strike the ground and the distance of this point from foot of the tower. , , .

A ball is thrown horizontally with a speed of 20 m//s from the top of a tower of height 100m velocity with which the ball strikes the ground is .

A ball is thrown horizontally with speed 10 m//s from the top of tower of height 80 m . After how much time and at what horizontal distance from the tower it strikes the ground ?

A stone is thrown from the top of a tower at an angle of 30^(@) above the horizontal level with a velocity of 40 m/s. it strikes the ground after 5 second from the time of projection then the height of the tower is

CP SINGH-WORK, ENERGY AND POWER-EXERCISES
  1. A particle is thrown from the top of a tower of height h with speed v0...

    Text Solution

    |

  2. A particle moves from position 3hati+2hatj-6hatk to 14hati+13hatj+9hat...

    Text Solution

    |

  3. A body, constrained to move in the Y-direction is subjected to a force...

    Text Solution

    |

  4. A force vecF=3hati+chatj+2hatk acting on a particle causes a displacem...

    Text Solution

    |

  5. A force F=-k(y hati + x hatj) (where k is a positive constant) acts on...

    Text Solution

    |

  6. A man displaces a block by 5 m on a rough surface (mu=(1)//(2)) by app...

    Text Solution

    |

  7. A block of mass 10kg is placed on a rough surface inclined plane of in...

    Text Solution

    |

  8. A block of mass M is pulled along a horizontal surface by applying a f...

    Text Solution

    |

  9. A cord is used to lower vertically a block of mass M, a distance d at ...

    Text Solution

    |

  10. The two blocks in an Atwood machine have masses 2.0 kg and 3.0 kg. Fin...

    Text Solution

    |

  11. A light inextensible string that gas over a smoth fixed polley as show...

    Text Solution

    |

  12. If W(1) ,W(2) and W(3) represent the work done in moving a particle f...

    Text Solution

    |

  13. A Force F acting on an object varies with distance x as shown in the h...

    Text Solution

    |

  14. Work done from d=0m to d=3m

    Text Solution

    |

  15. A particle moves along the X-axis from x=0 to x=5m under the influence...

    Text Solution

    |

  16. A force act on a 30 gm particle in such a way that the position of the...

    Text Solution

    |

  17. The displacement x of a particle of mass m kg moving in one dimension,...

    Text Solution

    |

  18. A particle of mass m moves on a straight line with its velocity varyin...

    Text Solution

    |

  19. A particle is moving along the x-axis and force acting on it is given ...

    Text Solution

    |

  20. A block of mass m at rest is acted upon by a force F for a time t. The...

    Text Solution

    |

  21. According to the work energy theorem, the work done by the net force o...

    Text Solution

    |