Home
Class 12
PHYSICS
A paarticle moves in the xy-plane under ...

A paarticle moves in the xy-plane under the action of a force F such that the componentes of its linear momentum p at any time t and `p_(x)=2cos` t, `p_(y)=2sin` t. the eangle between F and p at time l is

A

`90^(@)`

B

`0^(@)`

C

`180^(@)`

D

`30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
Given that `vecp=p_(x)hati+p_(y)hatj=2costhati+2sinthatj`
`therefore vecF=(dvecp)/(dt)=-2sinthati+2costhatj`
Now. `vecF.vecp=0` i.e., angle between `vecF and vecp` is `90^(@)`.
Promotional Banner

Topper's Solved these Questions

  • NEET MAJOR TEST 9

    NEET MAJOR TEST (COACHING)|Exercise PHYSICS|45 Videos

  • NEET-UG DRILL TEST 14

    NEET MAJOR TEST (COACHING)|Exercise PHYSICS|45 Videos

Similar Questions

Explore conceptually related problems

A particle moves in the x-y plane under the action of a force vec(F) such that the value of its linear momentum vec(P) at any time is p_(x)=2cost,p_(y)=2sint. The angle theta between vec(F)and vec(P) at a given time t will be

A particle moves in the x-y plane under the action of a force vecF such that the value of its linear momentum vecP at any time t is P_(x)=2 cost and p_(y)=2sint . What is the angle theta between vecF and P at a given time t?

A particle moves in the x-y plane under the action of a force vec F such that its linear momentum vec P at any time t is vec P=2cost hati+2sint hatj . The angle between vec F and vec P at a given time t will be

A particle moves in the xy plane under the influence of a force such that its linear momentum is vecP(t) = A [haticos(kt)-hatjsin(kt)] , where A and k are constants. The angle between the force and momentum is

A particle moves in the x-y plane under is influence of a force such that its linear momentum is vec(P)(t)=A[hat(i)cos (kt)-hat(j)sin (kt)] , where A and k are constants Angle between the force and the momentum is:

A particle moves in the X-Y plane under the influence of a force such that its linear momentum is oversetrarrp(t)=A[haticos(kt)-hatjsin(kt)] , where A and k are constants. The angle between the force and the momentum is

A particle moves in the xy plane and at time t is at the point (t^(2), t^(3)-2t) . Then :-

Under the action of force 2 kg body moves such that its position 'x' varies as a function of time t given by : x = t^(2)//2 . The work done by the force in the first 5 seconds is

NEET MAJOR TEST (COACHING)-NEET-UG DRILL TEST 13-PHYSICS
  1. A stone is just dropped from the window of a train moving along a hori...

    Text Solution

    |

  2. The distance between two trucks moving towards each other is decreasin...

    Text Solution

    |

  3. A particle projected from origin moves in x-y plane with a velocity ve...

    Text Solution

    |

  4. A body of mass 40 gm is moving with a constant velocity of 2cm//sec on...

    Text Solution

    |

  5. A paarticle moves in the xy-plane under the action of a force F such t...

    Text Solution

    |

  6. In the figure shown, a balloon is pressed against a wall. It is in equ...

    Text Solution

    |

  7. The spring balance A reads 2 kg with a block m suspended from it. A ba...

    Text Solution

    |

  8. The pulley arrangements of Figs. (a) and (b) are identical. The mass o...

    Text Solution

    |

  9. Three blocks of masses m(1),m(2)and m(3) are connected by massless str...

    Text Solution

    |

  10. A blocky of mass m rests on a horizotal floor with which it has a coef...

    Text Solution

    |

  11. For the system shown in figure, the acceleration of the block is :-

    Text Solution

    |

  12. A block of mass 3kg is at rest on a rough inclined plan as shown in th...

    Text Solution

    |

  13. The dimensional formula for angular momentum is

    Text Solution

    |

  14. If the error in the measurement of radius of circle is 3% then calcula...

    Text Solution

    |

  15. Velocity (v) versus displacement (s) graph of a particle moving in a s...

    Text Solution

    |

  16. Path of a projectile is shown in figure then the direction of accelera...

    Text Solution

    |

  17. A man is running with a speed of 4 m/s, if he feels that rain drops ar...

    Text Solution

    |

  18. In given arrangement acceleration of each block is :-

    Text Solution

    |

  19. What should be the value of F so that block of mass 1 kg remains in eq...

    Text Solution

    |

  20. Brakes are applied to car moving with disengaged engine, bringing it t...

    Text Solution

    |