Home
Class 11
PHYSICS
A position dependent force f=(7-2x+3x^(2...

A position dependent force `f=(7-2x+3x^(2))N` acts on a small body of mass 2 kg and displaces it from `x=0 " to " x=5m`. Work done is

A

(a) 35J

B

(b) 70J

C

(c) 135J

D

(d) 270J

Text Solution

Verified by Experts

The correct Answer is:
C
`W=underset(x_(1))overset(x_(2))intFdx=underset(0)overset(5)int(7-2x3x^(2))dx=[7x-x(2)+x^(3)]_(0)^(5)=135J`
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    FULL MARKS|Exercise Additional Question Solved (II. Short Answer Questions)|44 Videos

  • WORK, ENERGY AND POWER

    FULL MARKS|Exercise Additional Question Solved (Long Answer Questions)|2 Videos

  • WORK, ENERGY AND POWER

    FULL MARKS|Exercise Textual Questions Solved (V. Conceptual Questions)|5 Videos

  • WAVES

    FULL MARKS|Exercise Additional Questions Solved (Numerical Problems )|10 Videos

Similar Questions

Explore conceptually related problems

A force of (10hati-3hatj+6hatk)N acts on a body of 5 kg and displaces it from (6hati+5hatj-3hatk)m "to" (10hati-2hatj+7hatk)m . The work done is

A force of (3i + 4j) Newton acts on a body and displaces it by (3i + 4j) m. The work done by the force is ……

A uniform force of (2hat(i)+hat(j)) N acts on a particle of mass 1 kg. The particle displaces from position (3hat(j)+hat(k)) m to (5hat(i)+3hat(j)) m. The work done by the force on the particle is

If the force F acting on a body as a function of x then the work done in a moviung body from x=1 m to x=3 m

A uniform force of (3hat i + hat j) newtons acts on a particle of mass 2kg . Hence the particle is displaced from position (2 hat i+ hat k) meter to position (4hat i+ 3hatj-hatk) meter. The work done by the force on the particle is:

FULL MARKS-WORK, ENERGY AND POWER-Additional Question Solved (I. MCQ)
  1. For elastic collision, coefficient of restitution is

    Text Solution

    |

  2. For inelastic collision coefficient of restiitution is

    Text Solution

    |

  3. For perfectly inelastic collision, coefficient of restitution is

    Text Solution

    |

  4. For perfectly inelastic collision, coefficient of restitution is

    Text Solution

    |

  5. The ratio of velocities of equal masses in an inelastic collision wit...

    Text Solution

    |

  6. A box is dragged across a surface by a rope which makes an angle 45^(@...

    Text Solution

    |

  7. A position dependent force f=(7-2x+3x^(2))N acts on a small body of ma...

    Text Solution

    |

  8. In gravitational field the work done in moving body from one point in...

    Text Solution

    |

  9. A particle of mass m moving with velocity v strikes a particle of mass...

    Text Solution

    |

  10. A force of (10hati-3hatj+6hatk)N acts on a body of 5 kg and displaces ...

    Text Solution

    |

  11. A 9 kg mass and 4kg mass are moving with equal kinetic energies. T he...

    Text Solution

    |

  12. If momentum of a body increase by 25% its kinetic energy will increase...

    Text Solution

    |

  13. If momentum of a body increase by 25% its kinetic energy will increase...

    Text Solution

    |

  14. A missile fired from a launcherr explode in mid air, its total

    Text Solution

    |

  15. A bullet hits and gets embedded in a solid block resting on a friction...

    Text Solution

    |

  16. Two balls of equal masses movin with velocities 10m/s and -7m/s respec...

    Text Solution

    |

  17. A spring of negligible mass having a force constant of 10Nm^(-1) is co...

    Text Solution

    |

  18. A particle falls from a height h on a fixed horizontal plane and rebou...

    Text Solution

    |

  19. If the force F acting on a body as a function of x then the work done ...

    Text Solution

    |

  20. A boy ''A'' of mass 50kg climbs up a stair case in 10s. Another boy ''...

    Text Solution

    |