Home
Class 12
PHYSICS
Velocity of particle of mass 2kg varies ...

Velocity of particle of mass 2kg varies with time t accoridng to the equation `vecv=(2thati+4hatj)ms^(-1)`. Here t is in seconds. Find the impulse imparted to the particle in the time interval from t=0 to t=2s.

Text Solution

Verified by Experts

Impulse=Change in momentum`=m(vecv_(2)-vecv_(1))`
`=2xx[(4hati+4hatj)-(4hatj)]=8hati kgms^(-1)`
Promotional Banner

Topper's Solved these Questions

  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-I|52 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-II|112 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos
  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN |Exercise EXERCISE (JA)|4 Videos
  • RACE

    ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos

Similar Questions

Explore conceptually related problems

If velocity (in ms^(-1) ) varies with time as V = 5t, find the distance travelled by the particle in time interval of t = 2s to t = 4 s.

Angular position theta of a particle moving on a curvilinear path varies according to the equation theta=t^(3)-3t^(2)+4t-2 , where theta is in radians and time t is in seconds. What is its average angular acceleration in the time interval t=0s to t=2s?

Force applied on a body is given by F=(3t^(2)-2t+10) N where t is in seconds. Find impulse imparted in t=0 to t=2 sec.

The displacement of an object varies with time according to the equation, ty = ((3)/(8) t ^(2) 0 3t + 5) m. Find the instataneous velocity at t = 4s.

Angular position theta of a particle moving on a curvilinear path varies according to the equation theta=t^(3)-3t^(2)+4t-2 , where theta is in radians and time t is in seconds. What is its average angular acceleration in the time interval t=2s to t=4s ?

A particle moves along X-axis in such a way that its coordinate X varies with time t according to the equation x = (2-5t +6t^(2))m . The initial velocity of the particle is

Force applied on a body is given by F=(3t^(2)-2t+30) N where t is in seconds. Find impulse imparted in t=0 to t=2 sec.

A particle executes SHM according to equation x=10(cm)cos[2pit+(pi)/(2)] , where t is in seconds. The magnitude of the velocity of the particle at t=(1)/(6)s will be :-

The displacement (in metre) of a particle varies with time (in second) according to the equation y =- (2)/(3) t ^(2) + 16 t +2. How long does the particle take to come to rest ?

A particle is acted upon by a force given by F=(12t-3t^(2)) N, where is in seconds. Find the change in momenum of that particle from t=1 to t=3 sec.

ALLEN -NEWTONS LAWS OF MOTION-SWOE
  1. Three forces vecF(1)=(3hati+2hatj-hatk) dynes, vecF(2)=(3hati+4hatj-5h...

    Text Solution

    |

  2. Two billiard balls each of mass 0 .05 kg moving in opposite directions...

    Text Solution

    |

  3. Velocity of particle of mass 2kg varies with time t accoridng to the e...

    Text Solution

    |

  4. The length of a nut cutter is 15cms. A force of 22.5kg is required to ...

    Text Solution

    |

  5. In the arrangement shows in fig. if the surface is smooth then find ou...

    Text Solution

    |

  6. Calculate the force of friciton for shown situtation.

    Text Solution

    |

  7. The monkey B shown in fig. is holding on to the tall of the monkey A w...

    Text Solution

    |

  8. A man of mass m stands on a frame of mass M. He pulls on a light rope,...

    Text Solution

    |

  9. A weight W rests on a rough horizontal plane,If the angle of friction ...

    Text Solution

    |

  10. A block of mass'm' it kept over the smooth surface of the plank of mas...

    Text Solution

    |

  11. The friction coefficient between the board and the floor shown in figu...

    Text Solution

    |

  12. A man of mass 70kg stands on a weighing scale in a lift which is movin...

    Text Solution

    |

  13. Explain why? (a) a horse cannot pull a cart and run in empty space. ...

    Text Solution

    |

  14. Two bodies A and B of mass 5 kg and 10 kg contact with each other rest...

    Text Solution

    |

  15. A block of mass 1kg is at rest on a rough horizontal surface having co...

    Text Solution

    |

  16. Assuming the length of a chain to be L and coefficient of static frict...

    Text Solution

    |

  17. If the coefficient of friction between an insect and bowl is mu and th...

    Text Solution

    |

  18. A body of mass M is kept on a rough horizontal surface (friction coeff...

    Text Solution

    |

  19. A block rest on a rough inclined plane as shown in fig. A horizontal f...

    Text Solution

    |

  20. Two blocks of masses m(1)=1 kg and m(2)=2 kg are connected by a string...

    Text Solution

    |