Home
Class 12
PHYSICS
A block of mass m lies on a horizontal 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)` ?

A

`2N`

B

`4N`

C

`8N`

D

`16N`

Text Solution

Verified by Experts

The correct Answer is:
C
At equilibrium (Net Force `=0` and velocity is maximum), `F=kx` & `F_(x)-(1)/(2)kx^(2)=DeltaK.E=4` here `x=1m`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant k. The other end of the spring is fixed, as shown in the figure. The block is initally at rest in its equilibrium position. If now the block is pulled withe a constant force F, the maximum speed of the block is :

A block of mass M is kept on a rough horizontal surface and is attached with massless spring of force constant k .The minimum constant force applied on the other end of the spring to lift the block is

A block of mass m is initially moving to the right on a horizontal frictionless surface at a speed v. It then compresses a spring of spring constant k. At the instant when the kinetic energy of the block is equal to the potential energy of the spring, the spring is compressed a distance of :

A block of mass 4 kg slides on a horizontal frictionless surface with a speed of 2m//s . It is brought to rest in compressing a spring in its path. If the force constant of the spring is 400 N//m , by how much the spring will be compressed

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 block of mass m is moving with a speed v on a horizontal rought surface and collides with a horizontal monted spring of spring constant k as shown in the figure .The coefficient of friction between the block and the floor is mu The maximum cobnpression of the spring is

An ideal spring with spring constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is

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

ALLEN-TEST PAPER-Exercise (Physics)
  1. A spring of force constant K is cut in two parts at its one third leng...

    Text Solution

    |

  2. A ball of mass m is attached to a string whose other end is fixed. The...

    Text Solution

    |

  3. A block of mass m lies on a horizontal frictionless surface and is att...

    Text Solution

    |

  4. Two bars of masses m(1) and m(2) connected by a non-deformed light spr...

    Text Solution

    |

  5. Power due to a force actoing on a block varies with time t as shown in...

    Text Solution

    |

  6. Two inclined frictionless tracks , one gradual and the other sleep mee...

    Text Solution

    |

  7. A particle A is projected verically upwards. Another indentical partic...

    Text Solution

    |

  8. Track OABCD (as shown is figure) is smooth and fixed in vertical plane...

    Text Solution

    |

  9. In the ideal atwood machine arrangement shown, what is the change in k...

    Text Solution

    |

  10. A partical of mass 2kg is moving on the x-axis with a constant mechani...

    Text Solution

    |

  11. A chain of length L and mass m is placed upon a smooth surface. The le...

    Text Solution

    |

  12. Potential energy function along x-axis in a certain force field is giv...

    Text Solution

    |

  13. A pigeon in flight experience a force of air resistance given by F=bv^...

    Text Solution

    |

  14. A potential energy curve U(x) is shown in the figure. What value must ...

    Text Solution

    |

  15. The left end of the spring tied to a wall and at the right end is atta...

    Text Solution

    |

  16. A block weighing 40N travels down a smooth fixed curved track AB joine...

    Text Solution

    |

  17. Two atoms interact with each other according to the following force F ...

    Text Solution

    |

  18. The potential energy U(x) of a particle moving along x-axis is shown i...

    Text Solution

    |

  19. A particle is to move along the x-axis from x=0 to x=x(1) while a cons...

    Text Solution

    |

  20. A body with mass 2kg moves in one direction in the presence of a force...

    Text Solution

    |