Home
Class 12
PHYSICS
The potential energy of 1 kg particle is...

The potential energy of 1 kg particle is `[U(x) = (0.25 x^4) - (0.5 x^2) ]` J If total mechanical energy is 2 J, then maximum KE is

A

`1/2 J`

B

`3/2 J`

C

`9/4 J`

D

`9/2 J`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TEST 1

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|21 Videos
  • TEST 3

    AAKASH INSTITUTE ENGLISH|Exercise EXAMPLE|74 Videos

Similar Questions

Explore conceptually related problems

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 1 kg particle free to move along the x- axis is given by V(x) = ((x^(4))/(4) - x^(2)/(2)) J The total mechainical energy of the particle is 2 J . Then , the maximum speed (in m//s) is

The potential energy of a particle of mass m is given by U=(1)/(2)kx^(2) for x lt 0 and U = 0 for x ge 0 . If total mechanical energy of the particle is E. Then its speed at x = sqrt((2E)/(k)) is

The potential energy of a particle of mass 1 kg U = 10 + (x-2)^(2) . Here, U is in joule and x in meter. On the positive x=axis particle travels up to x=+6cm. Choose the wrong statement.

The potential energy of a particle of mass 1 kg U = 10 + (x-2)^(2) . Herer, U is in joule and x in met. On the positive x=axis particle travels up to x=+6cm. Choose the wrong statement.

A single conservative fore F_(x) acts on a 2kg particle that moves along the x-axis. The potential energy is given by. U =(x-4)^(2)-16 Here, x is in metre and U in joule. At x =6.0 m kinetic energy of particle is 8 J find . (a) total mechanical energy (b) maximum kinetic energy (c) values of x between which particle moves (d) the equation of F_(x) as a funcation is zero (e) the value of x at which F_(x) is zero .

The PE of a 2 kg particle, free to move along x-axis is given by V(x)=((x^(3))/(3)-(x^(2))/(2))J. The total mechanical energy of the particle is 4 J. Maximum speed (in ms^(-1) ) is

The PE of a 2 kg particle, free to move along x-axis is given by V(x)=((x^(3))/(3)-(x^(2))/(2))J. The total mechanical energy of the particle is 4 J. Maximum speed (in ms^(-1) ) is

The potential energy of a particle under a conservative force is given by U ( x) = ( x^(2) -3x) J. The equilibrium position of the particle is at

The potential energy of a harmonic oscillator of mass 2 kg in its mean positioin is 5J. If its total energy is 9J and its amplitude is 0.01m, its period will be

AAKASH INSTITUTE ENGLISH-TEST 2-Exercise
  1. A bomb of mass 4m explodes into two parts of mass ratio 1 : 3. If k be...

    Text Solution

    |

  2. A ring of mass m and radius R is being rotated about its axis with ang...

    Text Solution

    |

  3. The potential energy of 1 kg particle is [U(x) = (0.25 x^4) - (0.5 x^2...

    Text Solution

    |

  4. A ball dropped from a height of 2 m rebounds to a height of 1.5 m afte...

    Text Solution

    |

  5. When a spring is stretched by 2 cm, it stores 100J of energy. If it is...

    Text Solution

    |

  6. What is the power of an engine which can lift 600 kg of water per minu...

    Text Solution

    |

  7. The component of the vector barĀ= (2hat i +3 hat j) along the vector b...

    Text Solution

    |

  8. A vector barP is along positive x axis, if barQ is another vector such...

    Text Solution

    |

  9. A solid sphere has combined linear and rotation motion as shown in fig...

    Text Solution

    |

  10. A sphere cannot roll on

    Text Solution

    |

  11. A body is rolling down an inclined plane. If kinetic energy of rotatio...

    Text Solution

    |

  12. Two masses m1 and m2 are connected by a light rod of length I. If rod ...

    Text Solution

    |

  13. A horizontal disc is rotating about a vertical axis passing through it...

    Text Solution

    |

  14. For black body radiations.Maximum radiation of 2 micrometer wavelegth...

    Text Solution

    |

  15. Four thin rods of same mass and same length L form a square Radius of ...

    Text Solution

    |

  16. A disc of radius R has a concentric hole of radius R /2 and its mass i...

    Text Solution

    |

  17. Consider a uniform sqare plate of side 'a' and mass 'm'. The moment of...

    Text Solution

    |

  18. If a solid cylinder rolls without slipping on an inclined plane of inc...

    Text Solution

    |

  19. A hollow sphere is released from top of an inclined plane of inclinati...

    Text Solution

    |

  20. If a particle of mass m is thrown with speed at an angle 60° with hori...

    Text Solution

    |