Home
Class 12
PHYSICS
particle of mass m, moving with velocity...

particle of mass m, moving with velocity 'u' makes head on collision with identical stationary particle, which is elastic. Theforce of interaction increases to maximum and then becomes zero in time 'T' as shown in graph. What is the maximum value `F_(0)` of interaction force ?

Text Solution

Verified by Experts

(1) Force reaches maximum value in `(T)/(2)` time. The impulse of maximum force is, `= F_(0)xx(T)/(2)`
Since, impulse = Change in momentum, mu `=F_(0).(T)/(2)`
i.e., `F_(0)=("2mu")/(T)`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    AAKASH SERIES|Exercise Application|6 Videos

  • LAWS OF MOTION

    AAKASH SERIES|Exercise EXERCISE - I|157 Videos

  • LAWS OF MOTION

    AAKASH SERIES|Exercise QUESTIONS FOR DESCRIPTIVE ANSWER|5 Videos

  • GEOMETRICAL OPTICS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|10 Videos

  • LOGIC GATES

    AAKASH SERIES|Exercise Exercise (Very Short Answer)|10 Videos

Similar Questions

Explore conceptually related problems

A particle moving with kinetic energy = 3J makes an elastic head-on collision with a stationary particle which has twice its mass. During the impact :-

A particle of mass m moving with velocity v makes head-on elastic collision with a sationary particle of mass 2m. Kinetic energy lost by the lighter particle during period of deformation is

A particle of mass m moving with velocity u makes an elastic one-dimensional collision with a stationary particle of mass m . They come in contact for a very small time t_0 . Their force of interaction increases from zero to F_0 linearly in time 0.5t_0 , and decreases linearly to zero in further time 0.5t_0 as shown in figure. The magnitude of F_0 is

A particle of mass m moving with velocity u makes an elastic one-dimentional collision with a stationary particle of mass m . They come in contact for a very small time t_0 . Their force of interaction increases from zero to F_0 linearly in time 0.5t_0 , and decreases linearly to zero in further time 0.5t_0 as shown in figure. The magnitude of F_0 is

A particle of mass m moving with a velocity u makes an elastic one-dimensional collision with a stationary particle of mass m establishing a contact with it for extermely small time. T . Their force of contact increases from zero to F_0 linearly in time T//4 , remains constant for a further time T//2 and decreases linearly from F_0 to zero in further time T//4 as shown. The magnitude possessed by F_0 is. .

A particle of mass m moving with a velocity u makes an elastic one-dimensional collision with a stationary particle of mass m establishing a contact with it for extermely small time. T . Their force of contact increases from zero to F_0 linearly in time T//4 , remains constant for a further time T//2 and decreases linearly from F_0 to zero in further time T//4 as shown. The magnitude possessed by F_0 is. .

A body of mass 2 m moving with velocity v makes a head - on elastic collision with another body of mass m which is initially at rest. Loss of kinetic energy of the colliding body (mass 2 m) is

A particle moving with kinetic energy K makes a head on elastic collision with an identical particle at rest. Find the maximum elastic potential energy of the system during collision.

A particle of mass m_1 , makes a head on elastic collision with another stationary body of mass m_2 If m_1 , rebounds with half of its original speed then (m_1/m_2) is

A sphere A moving with speed u and rotating With angular velocity omega makes a head-on elastic collision with an identical stationary sphere B . There is no friction between the surfaces of A and B . Choose the conrrect alternative(s). Disregard gravity.

AAKASH SERIES-LAWS OF MOTION-Problem
  1. A particle of mass 120 g moving at speed of 750 cm/s is acted upon by ...

    Text Solution

    |

  2. A bullet is fired from a gun . The force on the bullet is given by ...

    Text Solution

    |

  3. particle of mass m, moving with velocity 'u' makes head on collision w...

    Text Solution

    |

  4. Figure 5.16 shows the position-time graph of a particle of mass 4 kg. ...

    Text Solution

    |

  5. A ball of sqrt(3)xx10^(-2)kg hits a hard surface at 45^(@) to normal w...

    Text Solution

    |

  6. A gardener is watering plants at the rate 0.1 litre/sec using a pipe o...

    Text Solution

    |

  7. The linear momentum of a particle varies with times as p=a(0)+at+bt^(...

    Text Solution

    |

  8. Liquid of density rho flows along a horizontal pipe of uniform area of...

    Text Solution

    |

  9. System is shown in the figure. Velocity of sphere A is 9 (m)/(s). Find...

    Text Solution

    |

  10. Explain why a horse cannot pull a cart and run in empty space

    Text Solution

    |

  11. Two ice skaters A and B approach each other at right angles. A has mas...

    Text Solution

    |

  12. A man of mass m climbs a rope of length L suspended below a balloon of...

    Text Solution

    |

  13. A dog of mass 10 kg is standing on a flat 10 m long boat so that it is...

    Text Solution

    |

  14. All surfaces shown in figure are smooth. Find velocity of wedge (of ma...

    Text Solution

    |

  15. In a gravity free space, a man of mass M standing at a height h above ...

    Text Solution

    |

  16. A bomb moving with velocity 40 hat(i)+50hat(j)+25hat(k) m/s explodes i...

    Text Solution

    |

  17. A vessel at rest explodes breaking it into three pieces. Two pieces ha...

    Text Solution

    |

  18. A shell is fired from a cannon with a velocity V at an angle theta wit...

    Text Solution

    |

  19. A bomb of 1 kg is thrown vertically up with speed 100 m/s. After 5 sec...

    Text Solution

    |

  20. A particle of 2m is projected at an angle of 45°with horizontal with a...

    Text Solution

    |