Home
Class 12
PHYSICS
The figure below shows a graph of potent...

The figure below shows a graph of potential energy U(s) verses position x for a particle executing one dimensional motion along the x axis. The total mechanical energy of the system is indicated by the dashed line. At t=0 the particle is somewhere between points A and G. For later times choose the correct statement:-

A

The magnitude of force is maximum at `D`

B

The kinetic energy is maximum at `B`

C

The velocity is zero at `A` & `G`

D

The magnitude of force is minimum at `F`

Text Solution

Verified by Experts

The correct Answer is:
C

`F=-(dU)/(dx)` and `K+U=E`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Figure shows a plot of the potential energy as a function of x for a particle moving along the x-axis. Which of the following statement(s) is/are true?

Figure shows a plot of the potential energy as a function of x for a particle moving along the x-axis. Which of the following statement(s) is/are true?

Potential energy curve U of a particle as function of the position of a particle is shown. The particle has total mechanical energy E of 3.0 joules. Then select correct alternative.

In the one-dimensional motion of a particle, the relation between position x and time t is given by x^(2)+2x=t (here xgt0 ). Choose the correct statement

Figure shows a graph of potential energy. Consider the following graphs of position and time. Which of the graphs could be the motion of a particle in the given potential?

Graph of displacement (X) VS time (t) is given below for a particle moving in one-dimensional motion. The velocity time graph for this case would be

Figure shows a graph of potential energy. Consider the following graph of position and time , which represents the motion of the certain particle in the given potential. What is the total energy of the particle?

A particle of mass 40 g executes a simple harmonic motion of amplitude 2.0 cm. If the time period is 0.20 s, find the total mechanical energy of the system.

A particle of mass 40 g executes a simple harmonic motion of amplitude 2.0 cm. If the time period is 0.20 s, find the total mechanical energy of the system.

The potential energy of a particle of mass 1 kg moving along x-axis given by U(x)=[(x^(2))/(2)-x]J . If total mechanical speed (in m/s):-

ALLEN-TEST PAPER-Exercise (Physics)
  1. Consider the following sketch of potential energy for a particle as a ...

    Text Solution

    |

  2. The potential energy of a 1 kg particle free to move along the x-axis ...

    Text Solution

    |

  3. The figure below shows a graph of potential energy U(s) verses positio...

    Text Solution

    |

  4. A force F acting on a body depends on its displacement S as FpropS^(-1...

    Text Solution

    |

  5. If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+2hat(j)+2hat(k), fi...

    Text Solution

    |

  6. An insect starts from (2,3,4) and travels along (hat(i)+2hat(j)+2hat(k...

    Text Solution

    |

  7. For the given vector vec(A)=3hat(i)-4hat(j)+10hat(k), the ratio of mag...

    Text Solution

    |

  8. In the arrangement shown in figure coefficient of friction between 5kg...

    Text Solution

    |

  9. A block is kept at the corner of two walls and force 3N is applied on ...

    Text Solution

    |

  10. A plank of mass 2 kg and length 1 m is placed on horizontal floor.A sm...

    Text Solution

    |

  11. A block is moving along y-axis with velocity vec(v)(A)=4hat(j) on a pl...

    Text Solution

    |

  12. A block is projected up along the line of greatest slope of an incline...

    Text Solution

    |

  13. A metal block is resting on a rough wooden surface. A horizontal force...

    Text Solution

    |

  14. A Body intially at rest, starts moving along x-axis in such a way so t...

    Text Solution

    |

  15. A particle is shifted from A to B and then from B to C where A,B and C...

    Text Solution

    |

  16. Velocity of a stone projected, 2 seconds before it reaches the maximum...

    Text Solution

    |

  17. A particle is moving along the x-axis whose position is given by x= 4...

    Text Solution

    |

  18. A particle moves 21m along the vector 6hat(i)+2hat(j)+3hat(k) , then 1...

    Text Solution

    |

  19. A particle is falling freely under gravity. In frist t secnd it covers...

    Text Solution

    |

  20. For a particle moving along x-axis, speed must be increasing for the f...

    Text Solution

    |