Home
Class 12
PHYSICS
At time t second, a particle of mass 3 k...

At time t second, a particle of mass 3 kg has position vector r metre, where `r = 3that(i) - 4 cos t hat(j)`. Find the impulse of the force during the time interval `0 le t le(pi)/(2)`

A

`12hatjNs`

B

`9hatjNs`

C

`4hatjNs`

D

`14hatjNs`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NEET MOCK TEST 2

    NTA MOCK TESTS|Exercise PHYSICS|44 Videos

  • NEET MOCK TEST 21

    NTA MOCK TESTS|Exercise PHYSICS|45 Videos

Similar Questions

Explore conceptually related problems

Suppose that a particle mvoes on a straight line so that is velocity at time t is v(t)=(t^(2)-2t)m//s . (a). Find the displacement of the particle during the time interval 0 le t le 3 (b). Find the distance traveled by the particle during the time interval 0 le t le 3 .

A particle is moving with a position vector, vec(r)=[a_(0) sin (2pi t) hat(i)+a_(0) cos (2pi t) hat(j)] . Then -

At time t the position vector of a particle of mass m=3kg is given by vecr=6thati-t^(3)hatj+costhatk . Find the resultant force vecF(t) , magnitude of its acceleration when t=(pi)/(2) ., speed when t= pi .

A particle is executing SHM according to the equation x = A cos omega t . Average speed of the particle during the interval 0 le t le (pi)/(6omega) is

Theposition vector of a moving particle at time t is r=3hati+4thatj-thatk Its displacement during the time interval t=1 s to t=3 s is

Velocity of a particle of mass 2kg varies with time t according to the equation vec(v)=(2thati+4hatj) m//s . Here t is in seconds. Find the impulse imparted to the particle in the time interval from t=0 to t=2s.

Displacement of a particle of mass 2 kg varies with time as s=(2t^(2)-2t + 10)m . Find total work done on the particle in a time interval from t=0 to t=2s .

A particle move in x-y plane such that its position vector varies with time as vec r=(2 sin 3t)hat j+2 (1-cos 3 t) hat j . Find the equation of the trajectory of the particle.

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.

A particle of mass m moves in xy plane such that its position vector, as a function of time, is given by vec(r) =b(kt-sinkt)hati+b(kt+cos kt) hatj . where b and k are positive constants. (a) Find the time t_0 in the interval o le t le (pi)/k when the resultant force acting on the particle has zero power. (b) Find the work done by the resultant force acting on the particle in the interval t_(o) le t le (pi)/4

NTA MOCK TESTS-NEET MOCK TEST 20-PHYSICS
  1. A particle excuting S.H.M. of amplitude 4 cm and T = 4 sec .The time t...

    Text Solution

    |

  2. The thermal conductivity of a material in CGS system is 0.4. In steady...

    Text Solution

    |

  3. If 150 J of heat is added to a system and the work done by the system...

    Text Solution

    |

  4. The volume of a gas at 20^(@)C is 200 ml. If the temperature is reduc...

    Text Solution

    |

  5. The apparent coefficient of expansion of liquid, when heated in a copp...

    Text Solution

    |

  6. In the glass capillary tube, the shape of the surface of the liquid de...

    Text Solution

    |

  7. A beam of metal supported at the two edges is loaded at the centre. Th...

    Text Solution

    |

  8. If the earth stops rotating, the value of ‘ g ’ at the equator will

    Text Solution

    |

  9. A force vecF=(5hati+3hatj)N is applied over a particle which displaces...

    Text Solution

    |

  10. On account of the earth rotating about its axis

    Text Solution

    |

  11. A particle A suffers an oblique elastic collision particle B that is a...

    Text Solution

    |

  12. A circular disc A of radius r is made from an iron plate of thickness ...

    Text Solution

    |

  13. If one sphere collides head - on with another sphere of the same mass ...

    Text Solution

    |

  14. The tube AC forms a quarter circule in a vertical plane. The ball B ha...

    Text Solution

    |

  15. Two substance of same size are made of same material but one is hollow...

    Text Solution

    |

  16. A TV tower has a height of 100 m. How much population is covered by th...

    Text Solution

    |

  17. A horizontal wid is blowing with a velocity v towards north-east. A ma...

    Text Solution

    |

  18. At time t second, a particle of mass 3 kg has position vector r metre,...

    Text Solution

    |

  19. IF an electron enters into a space between the plates of a parallel pl...

    Text Solution

    |

  20. Four rods of side length l have been hinged to form a rhombus. Vertex ...

    Text Solution

    |