Home
Class 11
PHYSICS
A block of metal weighing 4kg is resting...

A block of metal weighing `4kg` is resting on a frictionless plane . It is struck by a jet of releasing water at the rate of `1 kg s^(-1)` and at a speed of `10ms^(-1)` Calculate the intial acceleration of the blocks .

Text Solution

Verified by Experts

The correct Answer is:
`2.5 m//s^(2)`

Here, `m=2kg, (dm)/(dt) = 1 kg s^(-1)`
`upsilon = 5m//s, a = ` ?
`F = ma = (d)/(dt) (p) = (d)/(dt) (m upsilon) = upsilon (dm)/(dt)`
`:. a =(upsilon (dm//dt))/(m) =(5 xx1)/(2) = 2.5 m//s^(2)` .
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    PRADEEP|Exercise JEE (Main and Advanced)/ Medical Entrance Special|93 Videos
  • LAWS OF MOTION

    PRADEEP|Exercise Integer Type Questions|7 Videos
  • LAWS OF MOTION

    PRADEEP|Exercise Fill in the blanks|20 Videos
  • KINEMATICS

    PRADEEP|Exercise 1 NCERT Comprehension|4 Videos
  • MATHEMATICAL TOOLS

    PRADEEP|Exercise Fill in the blanks|5 Videos

Similar Questions

Explore conceptually related problems

A block of 5 kg is resting on a frictionless plane. It is struck by a jet releasing water at the rate of 3 kg/s at a speed of 4 m s^(-1) . Calculate the initial acceleration of the block.

A block of metal weighing 2kg is resting on a frictionless plane. It is struck by a jet releasing water at a rate of 1kg s^(-1) and at a speed of 5ms^(_1) . The initial acceleration of the block is

A block of metal weighing 2kg is resting on a frictionless plane. It is struck by a jet releasing water at a rate of 1kg/s and at a speed of 5 m/s. Calculate the initial acceleration of the block.

A block of weight 4 kg is resting on a smooth horizontal plane. If it is struck by a jet of water at the rate of 2 kg s^(-1) and at the speed of 10 m s', then the initial acceleration of the block is

48.A block of mass 5kg is at rest on a smooth horizontal surface Water coming out of a pipe horizontally at the rate of 2kg/sec ,hits the block with a velocity of 6m/sec.The initial acceleration of the block is

PRADEEP-LAWS OF MOTION-Problems for practice
  1. A stone of mass 5kg falls from the top of a cliff 50m high and buries ...

    Text Solution

    |

  2. A man in a circus show jumps from a height of 10m and is caught by a n...

    Text Solution

    |

  3. A block of metal weighing 4kg is resting on a frictionless plane . It ...

    Text Solution

    |

  4. A force of 50N is inclined to the vertical at an angle of 30^(@) Find ...

    Text Solution

    |

  5. In an X-ray machine an electron is subjected to a force of 10^(23) N I...

    Text Solution

    |

  6. A force of 10 N gives a mass m(1) an acceleration of 10m//s^(2) and a ...

    Text Solution

    |

  7. A body of mass m moves along X-axis such that its position coordinate ...

    Text Solution

    |

  8. A machine gun has a mass of 20kg It fires 30g bullets at the rate of 4...

    Text Solution

    |

  9. A machine gun fires a bullet of mass 40 g with a velocity 1200 ms^-1. ...

    Text Solution

    |

  10. While lauching a rocket of mass 2xx 10^(4)kg a force of 5 xx 10^(5) N...

    Text Solution

    |

  11. A ball moving with a momentum of 5kg ms^(-1) strikes against a wall at...

    Text Solution

    |

  12. Two billiard balls each of mass 50g moving in opposite directions with...

    Text Solution

    |

  13. A ball of mass 20 gram hits a smooth wall at an angle of 45^@) with a ...

    Text Solution

    |

  14. A rubber ball of mass 50g falls from a height of 100cm and rebounds to...

    Text Solution

    |

  15. A bullet of mass 50g moving with a speed of 500 ms^(-1) is brought to ...

    Text Solution

    |

  16. The initial speed of a body of mass 2kg is 5ms^(-1) A force acts for 4...

    Text Solution

    |

  17. Shows position time graph of a particle of mass 100g Find the impulse ...

    Text Solution

    |

  18. The strings of a parachute can bear a maximum tension of 72 kg wt . By...

    Text Solution

    |

  19. A body of mass 30kg is hung by a spring balance in a lift. What would ...

    Text Solution

    |

  20. An elevator starts from rest with a constant downward acceleration and...

    Text Solution

    |