Home
Class 11
PHYSICS
A single conservative force F(x) acts on...

A single conservative force F(x) acts on a particle that moves along the x - axis. The graph of the potential energy with x is given. At x=5m, the particle has a kinetic energy of 50 J and its potential energy is related to position 'x' as `U=15+(x-3)^(2)` Joule where x is in meter. Then:

A

The mechanical energy of system is 69 J

B

The mechanical energy of system is 19 J

C

At x=3 the kinetic energy of particle is minimum

D

The maximum value of kinetic energy is 54 J

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    PHYSICS GALAXY - ASHISH ARORA|Exercise unsolvedMCQ|78 Videos

  • WORK, ENERGY AND POWER

    PHYSICS GALAXY - ASHISH ARORA|Exercise unsolved|1 Videos

  • WORK, ENERGY AND POWER

    PHYSICS GALAXY - ASHISH ARORA|Exercise Discussion Question|31 Videos

  • RIGID BODIES AND ROTATIONAL MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical|63 Videos

Similar Questions

Explore conceptually related problems

A single conservative force F(x) acts on a 1.0-kg particle that moves along the x-axis. The potential energy U(x) is given by U(x)=20+(x-2)^2 where x is in meters. At x=5.0m , the particle has a kinetic energy of 20J . What is the mechanical energy of a system?

A single conservative force F(x) acts on a 1.0-kg particle that moves along the x-axis. The potential energy U(x) is given by U(x)=20+(x-2)^2 where x is in meters. At x=5.0m , the particle has a kinetic energy of 20J . Determine the equation of F(x) as a function of x.

A single conservative force F(x) acts on a 1.0-kg particle that moves along the x-axis. The potential energy U(x) is given by U(x)=20+(x-2)^2 where x is in meters. At x=5.0m , the particle has a kinetic energy of 20J . The maximum kinetic energy of the particle and the value of x at which maximum kinetic energy occurs are

A single conservative force F(x) acts on a 1.0-kg particle that moves along the x-axis. The potential energy U(x) is given by U(x)=20+(x-2)^2 where x is in meters. At x=5.0m , the particle has a kinetic energy of 20J . The maximum and minimum values of x, respectively, are

A single conservative force F(x) acts on a on a (1.0kg ) particle that moves along the x-axis. The potential energy U(x) is given by: U(x) =20 + (x-2)^(2) where, x is meters. At x=5.0m the particle has a kinetic energy of 20J (a) What is the mechanical energy of the system? (b) Make a plot of U(x) as a function of x for -10mlexle10m , and on the same graph draw the line that represents the mechanical energy of the system. Use part (b) to determine. (c) The least value of x and (d) the greatest value of x between which the particle can move. (e) The maximum kinetic energy of the particle and (f) the value of x at which it occurs. (g) Datermine the equation for F(x) as a function of x. (h) For what (finite ) value of x does F(x) =0 ?.

A single conservative f_((x)) acts on a m = 1 kg particle moving along the x-axis. The potential energy U_((x)) is given by : U_((x)) = 20 + (x - 2)^(2) where x is in metres. At x = 5 m , a particle has kintetic energy of 20 J The maximum value of potential energy is:

A single conservative f_((x)) acts on a m = 1 kg particle moving along the x-axis. The potential energy U_((x)) is given by : U_((x)) = 20 + (x - 2)^(2) where x is in metres. At x = 5 m , a particle has kintetic energy of 20 J The position of equilibrium and its nature is:

A single conservative f_((x)) acts on a m = 1 kg particle moving along the x-axis. The potential energy U_((x)) is given by : U_((x)) = 20 + (x - 2)^(2) where x is in metres. At x = 5 m , a particle has kintetic energy of 20 J The maximum speed of the particle is:

A single conservative f_((x)) acts on a m = 1 kg particle moving along the x-axis. The potential energy U_((x)) is given by : U_((x)) = 20 + (x - 2)^(2) where x is in metres. At x = 5 m , a particle has kintetic energy of 20 J The minimum speed of the particle is:

PHYSICS GALAXY - ASHISH ARORA-WORK, ENERGY AND POWER-MCQ
  1. A ball of mass m is attached to the lower end of a light vertical spri...

    Text Solution

    |

  2. A heavy particle is suspended by a string of length 60 cm from a fixed...

    Text Solution

    |

  3. Work done by the conservative force on a system is equal to :

    Text Solution

    |

  4. Select the correct alternative(s).

    Text Solution

    |

  5. Work done by a force on an object is zero, if

    Text Solution

    |

  6. A particle moves in a straight line with constant acceleration under ...

    Text Solution

    |

  7. Kinetic energy of a particle moving in a straight line is proportional...

    Text Solution

    |

  8. In a projectile motion, power of the gravitational force

    Text Solution

    |

  9. A person applies a constant force vecF on a particle of mass m and fin...

    Text Solution

    |

  10. One end of a light spring of spring constant k is fixed to a wall and ...

    Text Solution

    |

  11. A block of mass 2 kg is hanging over a smooth and light pulley through...

    Text Solution

    |

  12. The spring is compressed by a distance a and released. The block again...

    Text Solution

    |

  13. The potential energy U in joule of a particle of mass 1 kg moving in x...

    Text Solution

    |

  14. A block is suspended by an ideal spring of force constant force F and ...

    Text Solution

    |

  15. For a curved track of radius R, banked at angle theta

    Text Solution

    |

  16. A single conservative force F(x) acts on a particle that moves along t...

    Text Solution

    |

  17. The potential energy of a particle of mass 1 kg in a conservative fiel...

    Text Solution

    |

  18. In the adjacent figure a uniform rod of length L and mass m is kept at...

    Text Solution

    |

  19. Displacement time graph of a particle moving in a straight line is as ...

    Text Solution

    |

  20. A Block 'A' is placed on a smooth horizontal surface and particle C is...

    Text Solution

    |