Home
Class 11
PHYSICS
A force F=(6hati-8hatj+10hatk)N produces...

A force `F=(6hati-8hatj+10hatk)`N produces acceleration of `sqrt(2) ms^(-2)` in a body. Calculate the mass of the body.

A

10 kg

B

8 kg

C

12 kg

D

9 kg

Text Solution

Verified by Experts

The correct Answer is:
A
(a) F=ma or `m=(|F|)/(|a|)=(|6 hati-8 hatj+10 hatk|)/(sqrt(2))`
`=(sqrt(6^(2)+8^(2)+10^(2))))/(sqrt(2))=10 kg`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    DC PANDEY ENGLISH|Exercise Check point 5.2|15 Videos

  • LAWS OF MOTION

    DC PANDEY ENGLISH|Exercise Check point 5.3|20 Videos

  • LAWS OF MOTION

    DC PANDEY ENGLISH|Exercise Subjective Question|27 Videos

  • KINEMATICS 1

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|15 Videos

  • LAWS OF THERMODYNAMICS

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|18 Videos

Similar Questions

Explore conceptually related problems

A force vecF=(6hati-8hatj+10hatk)N produces acceleration of 1 ms^(-2) in a body. Calculate the mass of the body.

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

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

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 10 N force is applied on a body produces an acceleration of 1 m//s^(2) . The mass of the body is

How much force is required to produce an acceleration of 2 m s^(-2) in a body of mass 0.8 kg ?

A force vector applied on a mass is represented as F = 6i - 8j + 10k and acceleration with 1 m//s^(2) . What will be the mass of the body ?

A resultant force of 45 kgf is acting on a body whose acceleration is 10 "m/ sec"^2 . Calculate the mass of the body.

A force produces an acceleration of 4ms^(-2) in a body of mass m_(1) and the same force produces an acceleration of 6ms^(-2) in another body oa mass m_(2) . If the same force is applied to (m_(1)+m_(2)) , then the acceleration will be

DC PANDEY ENGLISH-LAWS OF MOTION-Check point 5.1
  1. Which of Newton's laws of motion explain the concept of inertia ?

    Text Solution

    |

  2. Inertial of an object is directly dependent on

    Text Solution

    |

  3. A body of mass 6 kg is acted on a by a force so that its velocity chan...

    Text Solution

    |

  4. The momentum P ( in kg ms^(-1)) of a particle is varying with time t (...

    Text Solution

    |

  5. A body is acted upon by balanced forces

    Text Solution

    |

  6. A force F=(6hati-8hatj+10hatk)N produces acceleration of sqrt(2) ms^(-...

    Text Solution

    |

  7. A force of 72 dyne is inclined to the horizontal at an angle of 60^(@)...

    Text Solution

    |

  8. A constant force acting on a body of mass 3.0 kg changes its speed fro...

    Text Solution

    |

  9. A body of mass 5 kg is acted upon by two perpendicular forces 8 N and ...

    Text Solution

    |

  10. A bull of mass m is moving towards a player with velocity v. If player...

    Text Solution

    |

  11. A constant retarding force of 50 N is applied to a body of mass 20 kg ...

    Text Solution

    |

  12. A ball of mass 1 kg is dropped from height 9.8 m, strikes with ground ...

    Text Solution

    |

  13. A ball of mass 0.5 kg moving with a velocity of 2 m//s strikes a wall ...

    Text Solution

    |

  14. A ball is moving with speed 20 ms^(-2) collides with a smooth surface...

    Text Solution

    |

  15. A body of mass 5 kg is moving with velocity of v=(2hati+6hatj)ms^(-1) ...

    Text Solution

    |

  16. If impulse/ varies with time t as f (kg ms^(-1))=20t^(2)-40t.The chang...

    Text Solution

    |

  17. An initially stationary device lying on a frictionless floor explodes ...

    Text Solution

    |

  18. A bullet mass 10gm is fired from a gun of mass 1 kg . If the recoil ve...

    Text Solution

    |

  19. A bullet of mass 0.1 kg is fired with a speed of 100 m//sec , the mass...

    Text Solution

    |

  20. A man of mass 60 kg is standing on a horizontal conveyor belt. When th...

    Text Solution

    |