Home
Class 11
PHYSICS
A ball of mass 1 kg is projected horizon...

A ball of mass `1 kg` is projected horizontally as shown in figure. Assume that collision between the ball and ground is totally inelastic. The kinetic energy of ball in joulesy just collision is found to be `10prop`. Find the value of `alpha`.

Text Solution

Verified by Experts

The correct Answer is:
`50 J`
vertical velocity just before collision `v_(y) = sqrt(2gh) = sqrt(2 xx 10 xx 5) = 10 m//s`

`rArr` Kinetic energy of ball just after collision `= (1)/(2) xx 1 xx 10^(2) = 50 J`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-I|40 Videos

  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-II|43 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise EXERCISE-IV ASSERTION & REASON|11 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 5 B (Integer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

A block of mass 10 kg, moving with acceleration 2m//s^(2) on horizontal rough surface is shown in figure then find the value of frictional coefficient.

Answer carefully, with reasons : In an elastic collision of two billiard balls, is the total kinetic energy conserved during the short time of collision of the balls (i.e. when they are in contact)?

The bob of mass 50 gm of a pendulum is released from a horizontal position A as shown in the figure . .If the length of the pendulum is 1.5 m , what is its kinetic energy at the lower most point B ? (g = 10 m/(s^(2)))

A ball of mass m=1kg falling vertically with a velocity v_0=2m//s strikes a wedge of mass M=2kg kept on a smooth, horizontal surface as shown in figure. If impulse between ball and wedge during collision is J. Then make two equations which relate J with velocity components of wedge and ball. Also find impulse on wedges from ground during impact.

A ball is projected in a manner such that its horizontal gange is n times of the maximum height. Then find out the ratio of potential energy to kinetic energy at maximum height.

Consider a rubber ball freely falling from a height h = 4.9 m onto a horizontally elastic plate. Assume that the duration of collision is negligible and the collisions with the plate is totally elastic . Then the velocity as a function of time and the height as a function of time will be :

A cricket ball of mass 150 g moving with a speed of 126 km/h hits at the middle of the bat , held firmly at its position by the batsman . The ball moves straight back to the bowler after hitting the bat . Assuming that collision between ball and bat is completely elastic and the two remain in contact for 0.001s s , the force that the batsman had to apply tohold the bat firmly at its place would be

A small block of mass M move on a frictionless surface of an inclimed from as down is figure . The engle of the inclime suddenly change from 60^(@) to 30^(@) at point B . The block is initally at rest at A Assume the collsion between the block and the incline are totally inclassic (g = 10m//s^(2) ) If collision between the block and the incline is completely elestic , then the vartical (apward) component of the of the block at point B immediatly after it stricess the scond indine is -

Two balls marked 1 and 2 of the same mass m and a third ball marked 3 of mass M are arranged over a smooth horizontal surface as shown in the figure. Ball 1 moves with a velocity v_(1) towards ball 2. All collisions are assumed to be elastic. If Mltm , the number of collisions between the balls will be.

ALLEN -CENTRE OF MASS-EXERCISE-V B
  1. A ball of mass 1 kg is projected horizontally as shown in figure. Assu...

    Text Solution

    |

  2. Two particles of masses m(1) and m(2) in projectile motion have veloci...

    Text Solution

    |

  3. Two blocks of masses 10 kg and 4 kg are connected by a spring of negli...

    Text Solution

    |

  4. If components of the momentum of a body along x and y-axis are p(x)=2 ...

    Text Solution

    |

  5. Two small particles of equal masses stant moving in opposite directio...

    Text Solution

    |

  6. Look at the drawing given in the figure which has been drawn with ink ...

    Text Solution

    |

  7. A particle of mass m is projected from the ground with an initial spee...

    Text Solution

    |

  8. A tennis ball dropped on a barizoontal smooth surface , it because bac...

    Text Solution

    |

  9. Two balls , having linear momenta vec(p)(1) = p hat(i) and vec(p)(2) =...

    Text Solution

    |

  10. STATEMENT-l : In an elastic collision between two bodies, the relative...

    Text Solution

    |

  11. Satement-1: if there is no external torque on a body about its centre ...

    Text Solution

    |

  12. A small block of mass M move on a frictionless surface of an inclimed...

    Text Solution

    |

  13. A small block of mass M move on a frictionless surface of an inclimed...

    Text Solution

    |

  14. A small block of mass M move on a frictionless surface of an inclimed...

    Text Solution

    |

  15. Two blocks of masses 2kg and M are at rest on an inclined plane and ar...

    Text Solution

    |

  16. A car P is moving with a uniform speed 5sqrt3 m//s towards a carriage ...

    Text Solution

    |

  17. A particle of mass m, moving in a cicular path of radius R with a cons...

    Text Solution

    |

  18. Two point masses m1 and m2 are connected by a spring of natural length...

    Text Solution

    |

  19. A rectangular plate of mass M and dimension axxb is held in horizonta...

    Text Solution

    |

  20. Three objects A , B and C are kept in a straight line on a smooth hori...

    Text Solution

    |