Home
Class 11
PHYSICS
A vec(F) = (5hat(i) +3hat(j) +2hat(k))N ...

A `vec(F) = (5hat(i) +3hat(j) +2hat(k))N ` is applied over a particle which displaces it from its origin to the point `vec(r ) = (2 hat(i) - hat(j))m ` . The work done on the particle in joule is `……….`

A

`- 7 J `

B

`+ 7` J

C

`+10 `J

D

13 J

Text Solution

Verified by Experts

The correct Answer is:
B
Work done = `vec(F) . vec(r )`
` = ( 5hat(i) +3 hat(j) + 2hat(k)) . (2hat(i) - hat(j))`
` = 10 - 3 = 7` J
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    KUMAR PRAKASHAN|Exercise SECTION - F Questions From Module (Sample questions for preparation of competitive exams)|23 Videos

  • WORK, ENERGY AND POWER

    KUMAR PRAKASHAN|Exercise QUESTION PAPER (SECTION - A)|6 Videos

  • WORK, ENERGY AND POWER

    KUMAR PRAKASHAN|Exercise SECTION - D NCERT Exemplar Solutions (Long Answer Type Questions)|5 Videos

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-F (Questions From Module) (Sample questions for preparation of competitive exams)|23 Videos

Similar Questions

Explore conceptually related problems

Force vec(F ) = (60 hat(i) +50 hat(j)-3hat(k))N is applied on a particle , the value of velocity is vec(v) =(2hat(i)+4hat(j)+5hat(k)) m/s , then power will be ……. W.

A uniform force of ( 3hat(i)+hat(j)) N acts on an particle of mass 2 kg . Hence the particle is displaced from position (2hat(i)+hat(k)) m to position (4hat(i)+3hat(j)-hat(k)) m . The work done by the force on the particle is

A particle moves in the xy plane and at time t is at the point vec r= t^(2) hat i + t^(3)-2t hat j . Then find velocity vector

Two particles P and Q are moving with velocity of (hat(i)+hat(j)) and (-hat(i)+2hat(j)) respectively. At time t=0 , P is at origin and Q is at a point with positive vector (2hat(i)+hat(j)) . Then the shortest distance between P & Q is :-

If vec(A) =2hat(i)-2hat(j) and vec(B)=2hat(k) then vec(A).vec(B) ……

The position vector of a particle is determined by the expression vec r = 3t^2 hat i+ 4t^2 hat j + 7 hat k . The displacement traversed in first 10 seconds is :

The projection of vector, vec(r)=3hat(i)+hat(j)+2hat(k) , on the x-y plane has magnitude-

The projection of a vector vec(r )=3hat(i)+hat(j)+2hat(k) on the x-y plane has magnitude

Forces acting on a particle have magnitude of 14N, 7N and 7N act in the direction of vectors 6hat(i)+2hat(j)+3hat(k),3hat(i)-2hat(j) +6hat(k),2hat(i)-3hat(j)-6hat(k) respectively. The forces remain constant while the particle is displaced from point A: (2,-1,-3) to B: (5,-1,1). Find the work done. The coordinates are specified in meters.

What is the length of projection of vec(A)=3hat(i)+4hat(j)+5hat(k) on xy plane ?

KUMAR PRAKASHAN-WORK, ENERGY AND POWER -SECTION - E Multiple Choice Questions (MCQs)
  1. Two identical balls A and B having velocities of 0.5 m/s and -0.3 m/s ...

    Text Solution

    |

  2. A particle moves from a point (-2hat(i) +5hat(j)) "to" (4 hat(j) +3 ha...

    Text Solution

    |

  3. Under the source of constant power a body start to move . Which one of...

    Text Solution

    |

  4. A body of mass 5 kg climb a height of 10 m by the force of 170 N . Its...

    Text Solution

    |

  5. If spring extends by x on loading , then enrgy stored by the spring ...

    Text Solution

    |

  6. A spring 40 mm long is stretched by the application of a force . If 10...

    Text Solution

    |

  7. A particle of mass m moving with velocity v is collide with a stationa...

    Text Solution

    |

  8. A person carrying a box on his head is walking on a level road from on...

    Text Solution

    |

  9. A body of mass 5 kg has momentum of 10 kg ms^(-1) when a force of 0.2 ...

    Text Solution

    |

  10. Which of the following is true ?

    Text Solution

    |

  11. A vec(F) = (5hat(i) +3hat(j) +2hat(k))N is applied over a particle w...

    Text Solution

    |

  12. A uniform cylinder of length L and mass M having cross - sectional ar...

    Text Solution

    |

  13. This question has statement -I and statement - II of the four choices...

    Text Solution

    |

  14. A particle of mass m moving in the x - direction with speed 2c is hit...

    Text Solution

    |

  15. A time dependent force F = 6t acts on a particle of mass 1 kg . If the...

    Text Solution

    |

  16. A particle is moving in a circular path of radius a under the action o...

    Text Solution

    |

  17. In a collinear collision a particle with an intial speed v(0) strike a...

    Text Solution

    |

  18. It is found that if a neutron suffers an elastic collinear collisio...

    Text Solution

    |

  19. A body initially at rest and sliding along a frictionlss track from a...

    Text Solution

    |

  20. A moving block having mass m , collides with another stationary block...

    Text Solution

    |