Home
Class 11
PHYSICS
A body under the action of a force vec(F...

A body under the action of a force `vec(F)=6hat(i)-8hat(j)N` acquires an acceleration of `5ms^(-2)` . The mass of the body is

A

2kg

B

5kg

C

4kg

D

6kg

Text Solution

Verified by Experts

The correct Answer is:
A
Given: `vec(F)=6hati-8hatjN` , `a=5ms^(-2)` .
:. `Fsqrt((6)^(2)+(-8)^(2))=10N`
`"Mass of the body"`, `m=(F)/(a)=(10N)/(5ms^(-2))=2kg` .
Promotional Banner

Topper's Solved these Questions

  • NEWTONS LAWS OF MOTION

    A2Z|Exercise Linear Momentum And Impulse|20 Videos

  • NEWTONS LAWS OF MOTION

    A2Z|Exercise Equilibrium Of A Particle|19 Videos

  • MOTION IN TWO DIMENSION

    A2Z|Exercise Chapter Test|29 Videos

  • OSCILLATION AND SIMPLE HARMONIC MOTION

    A2Z|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

A body, under the action of a force vec(F)=6hati -8hatj+10hatk , acquires an acceleration of 1ms^(-2) . The mass of this body must be.

A body, under the action of a force F=6hat(i)-8hat(j)+10hat(k) acceleration of 1ms^(-2) . The mass of this body must be

If a body under the action of force (6hati +8hatj-10hatk) N. acquires an acceleration of magnitude 5 ms^-2 . Then the mass of body is

A force vector applied on a mass is represented as vec(F)=6hat(i)-8hat(j)+10hat(k) and acceleration with m//s^(2) . What will be the mass of the body in kg.

A force of (3 hat(i) - 1.5 hat(j)) N acts on 5 kg body. The body is at a position of (2 hat(i) - 3 hat(j)) m and is travelling at ms^(-1) . The focce acts on the body until it is at the position (hat(i) + 5 hat(j)) m . Assuming no other force does work on the body, the final speed of the body.

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

A particle of mass 2kg moves with an initial velocity of (4hat(i)+2hat(j))ms^(-1) on the x-y plane. A force vec(F)=(2hat(i)-8hat(j))N acts on the particle. The initial position of the particle is (2m,3m). Then for y=3m ,

A2Z-NEWTONS LAWS OF MOTION-Chapter Test
  1. A body under the action of a force vec(F)=6hat(i)-8hat(j)N acquires an...

    Text Solution

    |

  2. A body of mass 2kg is moving towards east with a uniform speed of 2ms^...

    Text Solution

    |

  3. Beads A and B each of mass m , are connected by a light inextensible c...

    Text Solution

    |

  4. Two masses are connected by a string which passes over a pulley accele...

    Text Solution

    |

  5. In the figure shown the force with which the man should pull the rope ...

    Text Solution

    |

  6. A mass M is hung with a light inextensible string. Tension in horizont...

    Text Solution

    |

  7. Two masses rest on smooth surface as shown in the figure. Force exerte...

    Text Solution

    |

  8. There blocks of masses m(1) , m(2) and m(3) are connected by may less ...

    Text Solution

    |

  9. A body, under the action of a force vec(F)=6hati -8hatj+10hatk , acqui...

    Text Solution

    |

  10. Three light rods from a right angled triangle. The tension in the rod ...

    Text Solution

    |

  11. A light string of 70cm has its two ends tied at the same level 50cm a...

    Text Solution

    |

  12. A person holds a spring balance with a mass m hanging from it goes up ...

    Text Solution

    |

  13. Two equal masses are kept on the pans of a simple balance in a lift ac...

    Text Solution

    |

  14. The force required to just move a body up an inclined plane is double ...

    Text Solution

    |

  15. A mass of 4kg is suspended by a rope of length 4m from a ceiling. A fo...

    Text Solution

    |

  16. In the figure, a block of weight 60N is placed on a rough surface. Th...

    Text Solution

    |

  17. A rocket is going upward with acceleration motion. A man sitting in it...

    Text Solution

    |

  18. A body is moving under the action of two force vec(F(1))=2hati-5hatj ,...

    Text Solution

    |

  19. A body of mass 10kg is acted upon by two perpendicular force, 6N . The...

    Text Solution

    |

  20. A monkey of mass 20kg is holding a vertical rope. The rope will not br...

    Text Solution

    |

  21. A body mass 2kg has an initial velocity of 3 metre//sec along OE and i...

    Text Solution

    |