Home
Class 11
PHYSICS
A force F is related to the position of ...

A force F is related to the position of a particle by the relation `F=(10x^(2))N` . Find the work done by the force when the particle moves from `x=2m to x=4m`.

Text Solution

Verified by Experts

`W=int_(2)^(4)Fdx=int_(2)^(4) 10x^(2)dx=[(10x^(3))/(3)]_(2)^(4)`
`=(10)/(3)[4^(3)-2^(3)]=(10)/(3)xx56=186.7J`
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    PRADEEP|Exercise Long Answer Question|24 Videos
  • WORK, ENERGY AND POWER

    PRADEEP|Exercise Advanced Problems For Competitions|20 Videos
  • WORK, ENERGY AND POWER

    PRADEEP|Exercise Very Short Anwer Question.|54 Videos
  • THERMODYNAMICS

    PRADEEP|Exercise Assertion- Reason Type Questions|19 Videos

Similar Questions

Explore conceptually related problems

Force acting on a particle varies with displacement as shown is Fig. Find the work done by this force on the particle from x=-4 m to x = + 4m. .

A particle starts from rest from origin and moves along a parabolic path whose equation is y=x^(2) in the presence of a number of forces.One of the forces acting on the particle is F=(xhat i-4zhat k)N .Find work done by this force F when the particle moves from origin to x=2m.

A block is constrained to move along x axis under a force F=-(2x)N . Find the work done by the force when the block is displaced from x=2 m to x = 4m

A force F acting on a particle varies with the position x as shown in the graph. Find the work done by the force in displacing the particle from x =-a to x = +2a . .

Force acting on a particle varies with x as shown in figure. Calculate the work done by the force as the particle moves from x = 0 to x = 6.0 m.

The force on a particle is directed along an x axis and given by F= F_(0) (x//x_(0)-1) . Find the work done by the force in moving the particle from x=0 to x= 2x_(0) by (a) plotting F(x) and measuring the work from the graph and (b) integrating F(x) .

A variable force F acts along the x - axis given by F=(3x^2)-2x+1N . The work done by the force when a particle of mass 100 g moves from x = 50 cm to x = 100 cm is

A force F acting on a particle varies with the position x as shown in figure. Find the work done by this force in displacing the particle from

A particle moves along x -axis under the action of a position dependent force F = (5x^(2) -2x) N . Work done by forces on the particle when it moves from origin to x = 3m is

PRADEEP-WORK, ENERGY AND POWER-Short Answer Question
  1. Figure shows two smooth inclined planes with different inclinations. T...

    Text Solution

    |

  2. A man can jump higher on moon than on earth. With same effort, can a r...

    Text Solution

    |

  3. A force F is related to the position of a particle by the relation F=(...

    Text Solution

    |

  4. A bullet of mass 0.01J kg and travelling at a speed of 500m//s strikes...

    Text Solution

    |

  5. In any perfectly inelastic collision, is whole of KE lost ?

    Text Solution

    |

  6. Throwinig mud on a wall is an example of perfectly inelastic collisio...

    Text Solution

    |

  7. What is meant by zero work ? State the conditions under which a force ...

    Text Solution

    |

  8. Two bodies of unequal masses have same linear momentum. Which one has ...

    Text Solution

    |

  9. Tow bodies of unequal masses have same K.E. Which one has greater line...

    Text Solution

    |

  10. How do potential energy and K.E. of a spring vary with displacement ?...

    Text Solution

    |

  11. What is meant by mass energy equivalence ? Discuss its significance in...

    Text Solution

    |

  12. Hydrogenic materials are used as moderators in nuclear reactors to slo...

    Text Solution

    |

  13. How do you justify energy conservation from the vibrations of a simple...

    Text Solution

    |

  14. A graph of potential energy V(x) verses x is shown in figure. A partic...

    Text Solution

    |

  15. A ball of mass mm, moving with a speed 2upsilon(0), collides inelastic...

    Text Solution

    |

  16. Consider a one-dimensional motion of a particle with total energy E. T...

    Text Solution

    |

  17. The bob A of a pendulum released from horizontal to the vertical hits ...

    Text Solution

    |

  18. A raindrop of mass 1g falling from a height of 1km hits is the ground ...

    Text Solution

    |

  19. Two pendulums with identical bobs and lengths are suspended from a com...

    Text Solution

    |

  20. Suppose the average mass of raindrops is 3.0xx10^(-5)kg and their aver...

    Text Solution

    |