Home
Class 12
PHYSICS
A particle moves with velocity (6hat(i)-...

A particle moves with velocity `(6hat(i)-4hat(j) + 3hat(k))ms^(-1)` under the influence of a constant force F = `20 hat(i) + 15hat(j) -5 hat(k)` N. The instantaneous power applied to the particle is:

A

35 J/s

B

45 J/s

C

25 J/s

D

195 J/s

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(F).vec(u)=20hati + 15hatj - 5hatk.(6hati - 4hatj + 3hatk)`
Promotional Banner

Topper's Solved these Questions

  • DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION

    MODERN PUBLICATION|Exercise MCQ(LEVEL-II)|54 Videos

  • DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION

    MODERN PUBLICATION|Exercise MCQ(LEVEL-III)(Questions from AIEEE/ JEE Examinations)|6 Videos

  • DESCRIPTION OF MOTION IN ONE DIMENSION

    MODERN PUBLICATION|Exercise Revision Test|45 Videos

  • E.M. INDUCTION AND A.C. CURRENTS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|31 Videos

Similar Questions

Explore conceptually related problems

The magnitude of the vector 6hat(i) + 2hat(j) + 3hat(k) is ?

Find the magnitude of the vector vec(a) = 3hat(i) +2hat(j) + 6hat(k) .

Find a unit vector in the direction of vec(A) = 3hat(i) - 2hat(j) + 6hat(k) .

Find the magnitude of the vector (2hat(i) - 3hat(j) - 6hat(k)) + (-hat(i) + hat(j) + 4hat(k)) .

Obtain the projection of the vector vec(a) = 2hat(i) + 3hat(j) + 2hat(k) on the vector vec(b) = hat(i) + 2hat(j) + hat(k) .

MODERN PUBLICATION-DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION-Revision TEST
  1. A particle moves with velocity (6hat(i)-4hat(j) + 3hat(k))ms^(-1) unde...

    Text Solution

    |

  2. The torque of a force vecF=-3hati+hatj+5hatk acting at a point is vect...

    Text Solution

    |

  3. The position vectors of the head and tail of radius vector are 2hati+h...

    Text Solution

    |

  4. Given vec r=2 hat i+hat j+hat k and vec P=2 hat i+3 hat j+hat k angula...

    Text Solution

    |

  5. The angle between two vectors vec A =vec B is theta. The resultant of ...

    Text Solution

    |

  6. Two forces of magnitude F and sqrt(3) F act at right angles to each ot...

    Text Solution

    |

  7. The magnitude of the vector product of two vectors is 4. The magnitude...

    Text Solution

    |

  8. ABCDEF is a regular hexagon with point O as centre. The value of vec(A...

    Text Solution

    |

  9. A projectile is projected horizontally with 8 ms^(-1) , its velocity a...

    Text Solution

    |

  10. Two projectiles are thrown with same velocity but at an angle theta an...

    Text Solution

    |

  11. A projectile is thrown with angle of projection tan^(-1)(4/3) The rati...

    Text Solution

    |

  12. The angle between two vectors 2 hat i+3 hat j+hat k and 3 hat i + 6 ha...

    Text Solution

    |

  13. If resultant of two forces vec F and vec F is F. The angle between two...

    Text Solution

    |

  14. A ball is projected at an angle 30° with the horizontal. What is the c...

    Text Solution

    |

  15. A body is projected with K.E. ‘E’ so as to have a maximum horizontal r...

    Text Solution

    |

  16. Angle which the vector vec A = 2 hat i+3 hat j makes with the y-axis i...

    Text Solution

    |

  17. If the magnitude of the vector product is sqrt(3) times the magnitude ...

    Text Solution

    |

  18. If vec(A).vec(B)=|vec(A)xxvec(B)|, then the resultant of vec(A) and ve...

    Text Solution

    |

  19. A ball is projected from a certain point on the surface of a planet at...

    Text Solution

    |

  20. The vector which must be added to the sum of the two vectors hat i+2 h...

    Text Solution

    |

  21. If the time of flight of a body is T and horizontal range is R, then t...

    Text Solution

    |