Home
Class 11
PHYSICS
A force of 6 hat i+ 7 hat j newton make...

A force of ` 6 hat i+ 7 hat j` newton makes a body move on a rough loane with a velocity of (4 hat j = 3 hat k) ms^(-1)` . Calculate the power in watt.

Text Solution

Verified by Experts

Here, ` vec F = 6 hat I + 7 hat j , vec v= 34 hat j + 3 hat k`
Power, ` P= Fvec F. vec v= ( 6 hat I + 7 hat j).(4 hat + 3 hat k)`
` = 24 ( hat i.hat j) + 18 ( hat . Hat k)+ 28 ( hat j. hhat j) + 21 (hat j. hat k)` ltbRgt `= 24 (0) + 18 (0) + 28 (1) + 21 (0)`
` =28 W`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    PRADEEP|Exercise 4 Problems for practice|45 Videos
  • KINEMATICS

    PRADEEP|Exercise 1 Multiple choice|10 Videos
  • KINEMATICS

    PRADEEP|Exercise 2 Problems for practice|36 Videos
  • GRAVIATION

    PRADEEP|Exercise Assertion-Reason Type Questions|19 Videos
  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

A plane mirror is moving with velocity 4 (hat i) + 5 (hat j) + 8 (hat k) . A point object in front of the mirror moves with a velocity 3 (hat i) + 4 (hat j) + 5 (hat k) . Here, hat k is along the normal to the plane mirror and facing towards the object. The velocity of the image is

A force ( 3 hati +4 hat j) newton acts on a body and displaces it by (3 hat I + 4 hat j) metere. The work done by the force is y Joules. Find y.

If vec F =2 hat i + 3hat j +4hat k acts on a body and displaces it by vec S =3 hat i + 2hat j + 5 hat k , then the work done by the force is

A force (4hat(i)+hat(j)-2hat(k)) ms^(-1) The power exerted is

A motor boat is going in a river with a velocity vec(V) = (4 hat i-2 hat j + hat k) ms^(-1) . If the resisting force due to stream is vec (F)=(5 hat i-10 hat j+6 hat k)N , then the power of the motor boat is

The force 7 hat i+ 3 hat j - 5 hat k acts on a particle whose position vector is hat i- hat j + hat k . What is the torque of a given force about the origin ?

Work done by a force F on a body is W = F .s, where s is the displacement of body. Given that under a force F = (2 hat I +3 hat j +4 hat k) N a body is displaced from position vector r_1 = (2 hat I +3 hat j + hat k) m to the position vector r_2 = (hat i +hat j+ hat k) m. Find the work done by this force.

A body with mass 5 kg is acted upon by a force vec(F) = (- 3 hat (i) + 4 hat (j)) N . If its initial velocity at t =0 is vec(v) = 6 hat(i) - 12 hat (j) ms^(-1) , the time at which it will just have a velocity along the y-axis is :

Given four forces : vec F_1 = 3 hat i - hat j + 9 hat k vec F_2 = 2 hat i - 2 hat j + 16 hat k vec F_3 = 9 hat i + hat j + 18 hat k vec F_4= hat i + 2 hat j - 18 hat k If all these forces act on a particle at rest at the origin of a coordinate system, then identify the plane in which the particle would begin to move ?

A boat is moving with a velocity 3 hat i+ 4hat j with respect to ground. The water in the river is moving with a velocity -3 hat i - 4 hat j with respect to ground. The relative velocity of the boat with respect to water is.

PRADEEP-KINEMATICS-3 Problems for practice
  1. Show that vec A = hat I - 5 hat j and vec B= 2 hat I - 10 hat j are...

    Text Solution

    |

  2. Find the component of a vectro vec A = 3 hat I + 2 hat j along the di...

    Text Solution

    |

  3. If vec a and vec b are two non collinerar unit vectors and if | vec ...

    Text Solution

    |

  4. A particle moves from position vector vecr1 = ( 23 hat I + 2 hat j - ...

    Text Solution

    |

  5. A force of 6 hat i+ 7 hat j newton makes a body move on a rough loane...

    Text Solution

    |

  6. Determine the sine of the angle between the vectors ( 3 hat i+ 3hat j+...

    Text Solution

    |

  7. Calculate the area of a paralleogeram whose adjcent sides are given by...

    Text Solution

    |

  8. Find the area of the rriangle formed by the tips of the vectors, ve...

    Text Solution

    |

  9. A verctor of magnitude 100 N is inclined at an angle of 30^@ to anot...

    Text Solution

    |

  10. If | vec A| = 2, | vec B| =5 and | vec A xx vec B | =8 , din the va...

    Text Solution

    |

  11. Dine the unit vector peroendicular to each of the vectors 3 hat i+ ha...

    Text Solution

    |

  12. Fven that vec A xx vec B= vec B xx vec C = vec 0. If vec A. vec B a...

    Text Solution

    |

  13. For any to vectors vec A and vec B, prove that |vec A xx vec B|^2 =...

    Text Solution

    |

  14. Find the area of a traiangle formed by the tips of the vectors vec c ...

    Text Solution

    |

  15. Three vector vec A, vec B and vec C are such that vec A= vec B+ vec ...

    Text Solution

    |

  16. Find the vector sum of N coplanar forces, each of the magnitude F,when...

    Text Solution

    |

  17. A vector vec A when added to the vector vec B = 3. 0 hat i+ 4 hat j y...

    Text Solution

    |

  18. A vector vec A of magniude (A) is turned through an angle theta. Calc...

    Text Solution

    |

  19. Two vector vec P and vec Q act at a point and have a resultant R1. ...

    Text Solution

    |

  20. Two cacar starts together from the asme point and move along two strai...

    Text Solution

    |