Home
Class 11
PHYSICS
A particle moves from position 3hat(i)+2...

A particle moves from position `3hat(i)+2hat(j)-6hat(k)` to `14hat(i)+13hat(j)+9hat(k)` due to a uniform force of `4hat(i)+hat(j)+3hat(k)N`. If the displacement is in meters, then find the work done by the force.

A

`100 J`

B

`200 J`

C

`300 J`

D

`250 J`

Text Solution

Verified by Experts

The correct Answer is:
A
`S= vec(r )_(2)-vec(r )_(1)`
`W= vec(F).vec(S)= (4hat(i)+hat(j)+3hat(k)).(11hat(i)+11hat(j)+15hat(k))`
`=(4xx11+1xx11+3xx15)= 100 J`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    A2Z|Exercise NEET Questions|12 Videos

  • UNIT, DIMENSION AND ERROR ANALYSIS

    A2Z|Exercise Chapter Test|28 Videos

  • WAVES AND ACOUSTICS

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

A particle moves from a point (-2hat(i) + 5hat(j)) " to" " " (4hat(j) + 3hat(k)) when a force of (4hat(i)+ 3hat(j)) N is force?

A particle moves form position vec(s_(1))=(3hat(i)+2hat(j)-6hat(k)) m to position of vec(s_(2))=(14hat(i)+13hat(j)-9hat(k)) m, under the action of a force vec(F)=(14hat(i)+13hat(j)-9hat(k)) N, The work done by the force is

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

Find the vector projection of the vector : 7hat(i)+hat(j)-hat(k) on 2hat(i)+6hat(j)+3hat(k)

If a=hat(i)+2hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=hat(i)+3hat(j)-hat(k) , then atimes(btimesc) is equal to

A particle is displaced from position vec(r )_(1) = (3hat(i) + 2hat(j) + 6hat(k)) to another position vec(r )_(2)= (14hat(i) + 13hat(j) + 9hat(k)) under the impact of a force 5 hat(i)N . The work done will be given by

If the position vectors of the vertices of a triangle be 2hat(i)+4hat(j)-hat(k), 4hat(i)+5hat(j)+hat(k) and 3hat(i)+6hat(j)-3hat(k) , then the triangle is

Show that the vectors hat(i)-hat(j)-6hat(k),hat(i)-3hat(j)+4hat(k)and2hat(i)-5hat(j)+3hat(k) are coplanar.

Two unlike forces of equal magnitudes 3hat(i)+hat(k) and -3hat(i)-hat(k) acting at the points hat(i)+2hat(j)-hat(k) and 2hat(i)-hat(j)+3hat(k) respectively. Find the moment of the coupie formed by the forces.

A2Z-VECTORS-Chapter Test
  1. Given that vec(A)+vec(B)=vec(C ) and that vec(C ) is perpendicular to ...

    Text Solution

    |

  2. The component of a vector r along X-axis will have maximum value if

    Text Solution

    |

  3. A particle moves so that its position vector varies with time as vec(r...

    Text Solution

    |

  4. hat(e )(r) is unit Vector along radius of a circle shown in figure hat...

    Text Solution

    |

  5. A vector of magnitude 10 N acting in X-Y-plane has componets 8 N and 6...

    Text Solution

    |

  6. A particle P is acted by three coplanar forces as shown in the figure ...

    Text Solution

    |

  7. A person moves 30 m north, then 30 m, then 20 m towards east and final...

    Text Solution

    |

  8. A particle moves from position 3hat(i)+2hat(j)-6hat(k) to 14hat(i)+13h...

    Text Solution

    |

  9. Normal reaction N is a force exerted by the surface on the block perpe...

    Text Solution

    |

  10. Weight mg of a block is a force acting downward toward centre of the e...

    Text Solution

    |

  11. Three forces are acting on a particle as shown in the figure. To have ...

    Text Solution

    |

  12. Two horizontal forces of magnitudes of 10N and P N act on a particle. ...

    Text Solution

    |

  13. P, Q and R are three coplanar forces acting at a point and are in equi...

    Text Solution

    |

  14. Five forces 2 N, sqrt(3)N, 5 N, sqrt(3) and 2 N respectively act at a ...

    Text Solution

    |

  15. Consider two Vectors vec(F)(1)= 2hat(i)+5hat(k) and vec(F)(2)= 3hat(j)...

    Text Solution

    |

  16. A particle moves with a velocity 6hat(i)-4hat(j)+3hat(k)m//s under the...

    Text Solution

    |

  17. The length of second's hand in watch is 1 cm. The change in Velocity o...

    Text Solution

    |

  18. Asserion: Magnitude of the resultant of two vectors may be less than t...

    Text Solution

    |

  19. Assertion: Multiplying any vector by an scalar is meaningful operatons...

    Text Solution

    |

  20. Assertion: If hat(i) and hat(j) are unit Vectors along x-axis and y-ax...

    Text Solution

    |