Home
Class 12
PHYSICS
A body of mass 1 kg begins to move unde...

A body of mass `1 kg` begins to move under the action of a time dependent force `vec F = (2 t hat I + 3 t^(2) hat j) N`, where `hat i` and `hat j` are unit vectors along x-and y-axes. What power will be developed by the force at the time `t` ?

A

`(2t^(2)+3t^(3))W`

B

`(2t^(2)+4t^(4))W`

C

`(2t^(3)+3t^(4))`

D

`(2t^(3)+3t^(5))W`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • WORK, POWER & ENERGY

    MOTION|Exercise Exercise - 3 Section-B|22 Videos
  • WORK, POWER & ENERGY

    MOTION|Exercise Exercise - 2|30 Videos
  • WAVES

    MOTION|Exercise EXERCISE -4 (Level -II) (previous year JEE Advanced)|10 Videos

Similar Questions

Explore conceptually related problems

A body of mass 1 kg begins to move under the action of a time dependent force F=(2that(i)+3t^(2)hat(j))N, "where" hat(i)and hat(j) are unit vector along x and y axis. What power will be developed by the force at the time?

A body of mass 1kg begins to move under the actio of a time dependent force vec(F)=(2t hat(i)+3t^(2) hat(j))N , where hat (i) and hat(j) are unit vectors along X and Y axis. What does will be developed by the source at time t ?

The angle which the vector vec(A)=2hat(i)+3hat(j) makes with the y-axis, where hat(i) and hat(j) are unit vectors along x- and y-axis, respectively, is

The unit vector along vec(A)= 2 hat i + 3 hat j is :

Find the component of a vector vec A = 3 hat I + 4 hat j along the direction of 2hat I -3 hat j .

Find the component of a vectro vec A = 3 hat I + 2 hat j along the direction of ( hat I + hat j)

An object of mass 2 kg at rest at origin starts moving under the action of a force vec(F)=(3t^(2)hat(i)+4that(j))N The velocity of the object at t = 2 s will be -

A body of mass 0.5 kg initially at rest is accelerating , due to a time dependent force [barF= {t hat i + sqrt(t) hat j}] N then instantaneous power developed due to this force at t = 3 s will be

If hat i and hat j are unit vectors along X - and Y -axis respectively,then what is the magnitude and direction of hat i+hat j and hat i-hat j?

MOTION-WORK, POWER & ENERGY -Exercise - 3 Section-A
  1. A vertical spring with force constant k is fixed on a table. A ball of...

    Text Solution

    |

  2. A spherical ball of mass 20kg is stationary at the top of a hill of he...

    Text Solution

    |

  3. An explosion blows a rock into three parts. Two parts go off at right ...

    Text Solution

    |

  4. A block of mass m attached in the lower and vertical spring The spring...

    Text Solution

    |

  5. Two bodies of mass 1 kg and 3kg have position vectors hati+2hatj+hatka...

    Text Solution

    |

  6. An engine pumps water continously through a hose. Water leave the hose...

    Text Solution

    |

  7. A body of mass 1 kg is thrown upwards with a velocity 20 ms^(-1). It m...

    Text Solution

    |

  8. A plate of mass m, length b, and breadth a is initially lying on a hor...

    Text Solution

    |

  9. force F on a partical moving in a straight line veries with distance d...

    Text Solution

    |

  10. A body mass M hits normally a rigid wall with velocity v and bounces b...

    Text Solution

    |

  11. A person of mass 60kg is inside a lift of mass 940kg and presses the b...

    Text Solution

    |

  12. The potential energy of a system increased if work is done

    Text Solution

    |

  13. A car of mass m starta from rest and accelerates so that the instyanta...

    Text Solution

    |

  14. A partical of mass m is driven by a machine that deleveres a constant ...

    Text Solution

    |

  15. A block of mass 10 kg, moving in x-direction with a constant speed of ...

    Text Solution

    |

  16. Two spherical bodies of mass M and 5M & radii R & 2R respectively are ...

    Text Solution

    |

  17. Two similar springs P and Q have spring constants K(P) and K(Q)(K(P)gt...

    Text Solution

    |

  18. A body of mass 1 kg begins to move under the action of a time depende...

    Text Solution

    |

  19. Consider a drop of rain water having mass 1 g falling from a height of...

    Text Solution

    |

  20. A body initially rest and sliding along a frictionless trick from a he...

    Text Solution

    |