Home
Class 11
PHYSICS
A 1.5-kg block is initially at rest on a...

A `1.5-kg` block is initially at rest on a horizontal frictionless surface when a horizontal force in the positive direction of x-axis is applied to the block. The force is given by `vecF=(4-x^2)veciN`, where x is in meter and the initial position of the block is `x=0`.
The maximum positive displacement x is

A

(a) `2sqrt3`

B

(b) `2m`

C

(c) `4m`

D

(d) `sqrt2m`

Text Solution

Verified by Experts

The correct Answer is:
A
KE of the particle at `x=x` is `K=4x-x^3/3`
At maximum displacement, velocity will be zero
`K=0`, i.e., `x=2sqrt3m`
Promotional Banner

Topper's Solved these Questions

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Integer|14 Videos

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Archives (sinble Correct )|19 Videos

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Multiple Correct|25 Videos

  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise Multiple Correct|5 Videos

Similar Questions

Explore conceptually related problems

A 1.5-kg block is initially at rest on a horizontal frictionless surface when a horizontal force in the positive direction of x-axis is applied to the block. The force is given by vecF=(4-x^2)veciN , where x is in meter and the initial position of the block is x=0 . The maximum kinetic energy of the block between x=0 and x=2.0m is

A block is initially at rest on a horizontal frictionless surface when a horizontal force in the positive direction of an axis is applied to the block. The force is given by vecF=(1-x^(2))hatiN , where x is in meters and the initial position of the block is x=0 the maximum kinetic energy of the block is (2)/(n)J in between x=0 ad x=2 m find the value of n .

A 1.0 kg block is initially at rest on a horizontal frictionless surface when a horizontal force along an x axis is applied to the block. The force is given by vec(F)(x)= (2.5-x^(2)) hat(i)N , where x is in meters and the initial position of the block is x=0 . (a) What is the kinetic energy of the block as it passes through x=2.0m ? (b) What is the maximum kinetic energy of the block between x=0 and x=2.0 m ?

A 1.5 kg block is initially at rest on a horizontal frictionless surface. A horizontal force vec F=(4-x^(2))hat i is applied on the block. Initial position of the block is at x = 0 . The maximum kinetic enery of the block between x = 0 and x = 2m is

A block of mass 2 kg, initially at rest on a horizontal floor, is now acted upon by a horizontal force of 10 N . The coefficient of friction between the block and the floor is 0.2. If g = 10 m//s^(2) , then :

A block of mass 2 kg rests on a horizontal surface. If a horizontal force of 5 N is applied on the block, the frictional force on it is ("take", u_(k)=0.4, mu_(s)=0.5)

A block of mass sqrt(3) kg rests on a horizontal frictionless surface. What will be the acceleration of the block if it is subjected to two forces as shown in the figure.

A block of mass 4 kg is initially at rest on a horizontal frixtionless surface. A horizontal force vec(F) = (3+x) hat(i) newtons acts on it, when the block is at x = 0 . The maximum kinetic energy of the block between x = 0 and x = 2 m is

A block of mass m lies on a horizontal frictionless surface and is attached to one end of a horizontal spring (with spring constant k ) whose other end is fixed . The block is intinally at rest at the position where the spring is unstretched (x=0) . When a costant horizontal force vec(F) in the positive direction of the x- axis is applied to it, a plot of the resulting kinetic energy of the block verus its position x is shown in figure. What is the magnitude of vec(F)

A block of mass m lies on a horizontal frictionless surface and is attached to one end of a horizontal spring (with spring constant k ) whose other end is fixed . The block is intinally at rest at the position where the spring is unstretched (x=0) . When a constant horizontal force vec(F) in the positive direction of the x- axis is applied to it, a plot of the resulting kinetic energy of the block versus its position x is shown in figure. What is the magnitude of vec(F) ?

CENGAGE PHYSICS-WORK, POWER & ENERGY-Linked Comprehension
  1. A single conservative force F(x) acts on a 1.0-kg particle that moves ...

    Text Solution

    |

  2. A 1.5-kg block is initially at rest on a horizontal frictionless surfa...

    Text Solution

    |

  3. A 1.5-kg block is initially at rest on a horizontal frictionless surfa...

    Text Solution

    |

  4. A pendulum bob swings along a circular path on a smooth inclined plane...

    Text Solution

    |

  5. A pendulum bob swings along a circular path on a smooth inclined plane...

    Text Solution

    |

  6. A pendulum bob swings along a circular path on a smooth inclined plane...

    Text Solution

    |

  7. A small ball is rolled with speed u from piont A along a smooth circul...

    Text Solution

    |

  8. A small ball is rolled with speed u from point A along a smooth circul...

    Text Solution

    |

  9. A man of mass m speeds up while running from rest to a speed v in a st...

    Text Solution

    |

  10. A man of mass m speeds up while running from rest to a speed v in a st...

    Text Solution

    |

  11. A man of mass m speeds up while running from rest to a speed v in a st...

    Text Solution

    |

  12. A boy of mass m climbs up a conveyor belt with a constant acceleration...

    Text Solution

    |

  13. A boy of mass m climbs up a conveyor belt with a constant acceleration...

    Text Solution

    |

  14. A boy of mass m climbs up a conveyor belt with a constant acceleration...

    Text Solution

    |

  15. A boy of mass m climbs up a conveyor belt with a constant acceleration...

    Text Solution

    |

  16. Ram and Ali have been fast friends since childhood. Ali neglected stud...

    Text Solution

    |

  17. Ram and Ali have been fast friends since childhood. Ali neglected stud...

    Text Solution

    |

  18. Ram and Ali have been fast friends since childhood. Ali neglected stud...

    Text Solution

    |

  19. Ram and Ali have been fast friends since childhood. Ali neglected stud...

    Text Solution

    |

  20. Ram and Ali have been fast friends since childhood. Ali neglected stud...

    Text Solution

    |