Home
Class 12
PHYSICS
The force acting on a particle of mass m...

The force acting on a particle of mass m moving along the x-axis is given by `F (x) = Ax^(2) - Bx.`
Which one of the following is the potential energy of the particle?

A

2 Ax-B

B

`-(x^(2))/(6)(2Ax-B)`

C

`Ax^(3)-Bx^(2)`

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
B
Potential energy `=-int F(x) dx`
`U(x)=-int (Ax^(2)-BX)dx`
`U(x)=-A(x^(3))/(3)+B(x^(2))/(2)`
`U(x)=-x^(2)//6(2Ax-3B)`
Promotional Banner

Topper's Solved these Questions

  • Heat & Thermodynamics

    NDA PREVIOUS YEARS|Exercise Physics|64 Videos

  • MODERN PHYSICS

    NDA PREVIOUS YEARS|Exercise MCQ|42 Videos

Similar Questions

Explore conceptually related problems

The potential energy of a particle of mass 2 kg moving along the x-axis is given by U(x) = 4x^2 - 2x^3 ( where U is in joules and x is in meters). The kinetic energy of the particle is maximum at

The potential energy of a particle of mass 1 kg free to move along x-axis is given by U(x) =(x^(2)/2-x) joule. If total mechanical energy of the particle is 2J then find the maximum speed of the particle. (Assuming only conservative force acts on particle)

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):-

The potential energy of a 2 kg particle free to move along the x- axis is given by V(x)[(x^(4))/(4)-(x^(2))/(2)]jou l e The total mechanical energy of the particle is 0.75 J . The maximum speed of the particle ( in m//s) is :

Potential energy of a particle at position x is given by U=x^(2)-5x . Which of the following is equilibrium position of the particle?

The displacement of a particle moving along x-axis is given by : x = a + bt + ct^2 The acceleration of the particle is.

The potential energy U(x) of a particle moving along x- axis is shown in figure. Which one of the following graphs represents the variation of kinetic energy of this particel if its total mechanical enery is E_(0)

The potential energy U(x) of a particle moving along x - axis is given by U(x)=ax-bx^(2) . Find the equilibrium position of particle.

The velocity (v) of a particle of mass m moving along x-axis is given by v=alphasqrt(x) , where alpha is a constant. Find work done by force acting on particle during its motion from x=0 to x=2m :-

NDA PREVIOUS YEARS-Mechanics-Physics
  1. Why is it difficult to measure the coefficient of expansion ofa liquid...

    Text Solution

    |

  2. An object moves in a circular path with a constant speed. Which one of...

    Text Solution

    |

  3. The force acting on a particle of mass m moving along the x-axis is gi...

    Text Solution

    |

  4. In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mang...

    Text Solution

    |

  5. If some object is weighed when submerged in water, what will happen to...

    Text Solution

    |

  6. Which one of the following statements about energy is correct?

    Text Solution

    |

  7. If an object moves with constant velocity then which one of the follow...

    Text Solution

    |

  8. An object is moving with uniform acceleration a. Its initial velocity ...

    Text Solution

    |

  9. Which one of the following has maximum inertia?

    Text Solution

    |

  10. Which one of the following statements about gravitational force is NOT...

    Text Solution

    |

  11. Whether an object will float or sink in a liquid, depends on

    Text Solution

    |

  12. Which one of the following statements about the mass of a body is corr...

    Text Solution

    |

  13. A ball balanced on a vertical rod is an example of

    Text Solution

    |

  14. Which of the following statements about a fluid at rest in a cup is/ar...

    Text Solution

    |

  15. A planet has a mass M(1) and radius R(1). The value of acceleration- d...

    Text Solution

    |

  16. Consider the following velocity and time graph: Which one of the ...

    Text Solution

    |

  17. A ball is released from rest and rolls down an inclined plane, as show...

    Text Solution

    |

  18. The coefficient of a real expansion of a material is 1.6xx10^(-5)K^(-1...

    Text Solution

    |

  19. Which one of the following energy is stored in the links between the a...

    Text Solution

    |

  20. The correct sequence of energy transfer that occurs when an apple fall...

    Text Solution

    |