Home
Class 11
PHYSICS
A body constrained to move along the z-a...

A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by
`F= -hati+2hatj+3hatk N`
where `hati, hatj, hatk` are unit vectors along the x-, y- and z-axis of the system respectively. What is the work done by this force in moving the body a distance of 4m along the z-axis?

Text Solution

Verified by Experts

`= 12 J`
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    NCERT GUJARATI|Exercise EXERCISES (ADDITIONAL EXERCISES)|5 Videos

  • WORK, ENERGY AND POWER

    NCERT GUJARATI|Exercise EXERCISES (ADDITIONAL EXERCISES)|5 Videos

  • WAVES

    NCERT GUJARATI|Exercise Exercises|27 Videos

Similar Questions

Explore conceptually related problems

A body constrained to move along the z -axis of a coordinate system is subject to a constant force F given by vec(F) =(-hat(i)+2hat(j)+3hat(k))N where hat(i),hat(j),hat(k) are unit vectors along the x, y and z-axis of the system respectively . What is the work done by this force in moving the body a distance of 4 m along the z- axis?

If hati,hatj and hatk are unit vectors along X,Y & Z axis respectively, then tick the wrong statement:

3hati and 5hatj are vector along x-axis and y-axis respectively. Find the resultant vector

If hati,hatj and hatk represent unit vectors along the x,y and z-axes respectively, then the angle theta between the vectors (hati+hatj+hatk) and (hati+hatj) is equal to :

If vecA= 3hati+2hatj and vecB= 2hati+ 3hatj-hatk , then find a unit vector along (vecA-vecB) .

With respect to a rectangular cartesian coordinate system, three vectors are expressed as veca=4hati-hatj,vecb=-3hati+2hatj" and "vecc=-hatk where hati,hatj,hatk are unit vectors of axis x,y and z then hatr along the direction of sum of these vector is :-

With respect to a rectangular cartesian coordinate system, three vectors are expressed as veca=4hatj,vecb=3hati" and "vecc=hatk where hati,hatj,hatk are unit vectors of axis x,y and z then hatr along the direction of sum of these vector is :-

With respect to a rectangular cartesian coordinate system, three vectors are expressed as veca=3hatj,vecb=5hati" and "vecc=4hatk where hati,hatj,hatk are unit vectors of axis x,y and z then hatr along the direction of sum of these vector is :-

A body of mass 1 kg begins to move under the action 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 power will be developed by the force at the time t .

NCERT GUJARATI-WORK, ENERGY AND POWER-EXERCISES
  1. Answer carefully, with reasons : What are the answers to (a) and (b)...

    Text Solution

    |

  2. Answer carefully, with reasons : If the potential energy of two bill...

    Text Solution

    |

  3. A body is initially at rest. It undergoes one-dimensional motion with ...

    Text Solution

    |

  4. A body is moving unidirectionally under the influence of a source of c...

    Text Solution

    |

  5. A body constrained to move along the z-axis of a coordinate system is ...

    Text Solution

    |

  6. An electron and a proton are detected in a cosmic ray experiment, the ...

    Text Solution

    |

  7. A rain drop of radius 2mm falls from a height of 500 m above the groun...

    Text Solution

    |

  8. A molecule in a gas container hits a horizontal wall with speed 200 ms...

    Text Solution

    |

  9. A pump on the ground floor of a building can pump up water to fill a t...

    Text Solution

    |

  10. The bob A of a pendulum released from 30^(@) to the vertical hits anot...

    Text Solution

    |

  11. The bob of a pendulum is released from a horizontal position. If the l...

    Text Solution

    |

  12. A trolley of mass 300 kg carrying sandbag of 25 kg is moving uniformly...

    Text Solution

    |

  13. A body of mass 0.5 kg travels in a straight line with velocity v= ax^(...

    Text Solution

    |

  14. The blades of a windmill sweep out a circle of area A. If the wind f...

    Text Solution

    |

  15. The blades of a windmill sweep out a circle of area A. What is the k...

    Text Solution

    |

  16. The blades of a windmill sweep out a circle of area A. Assume that t...

    Text Solution

    |

  17. A person trying to lose weight (dieter ) lifts a 10 kg mass , one thou...

    Text Solution

    |

  18. A person trying to lose weight (dieter ) lifts a 10 kg mass , one thou...

    Text Solution

    |

  19. A family uses 8 kW of power. Direct solar energy is incident on the ...

    Text Solution

    |

  20. A family uses 8 kW of power. Compare this area to that of the roof o...

    Text Solution

    |