Home
Class 12
PHYSICS
One end of a light spring of spring cons...

One end of a light spring of spring constant k is fixed to a wall and the other end is tied to a block placed on a smooth horizontal surface. In a displacement, the work done by the spring is `+(1/2)kx^(2)`. The possible cases are.

A

the spring was intially compressed by a distance `x` and was finally in its natural length.

B

it was initially strecthed by a distance `x`, and finally was in its natural length.

C

it was initially in its natural length and finally in a compressed position.

D

the spring was initially compressed by a distance `x` and finally stretched by `x`

Text Solution

Verified by Experts

The correct Answer is:
C

`N//A`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

On end of a light spring of natural length d and spring constant k is fixed on a rigid wall and the other is attached to a smooth ring of mass m which can slide without friction on a vertical rod fixed at a distance d from the wall. Initially the spring makes an angle of 37^@ with the horizontal. as shown in figure. When the system is released from rest, find the speed of the ring when the spring becomes horizontal. (sin 37^@=3/5) .

One end of a light spring of natural length 4m and spring constant 170 N/m is fixed on a rigid wall and the other is fixed to a smooth ring of mass (1)/(2) kg which can slide without friction in a verical rod fixed at a distance 4 m from the wall. Initially the spring makes an angle of 37^(@) with the horizontal as shown in figure. When the system is released from rest, find the speed of the ring when the spring becomes horizontal.

The left end of the spring tied to a wall and at the right end is attached to a block of mass m , which is placed on a frictionless ground. The force F displaces the block by distance x where it is exactly balanced by the spring force. What is the maximum speed of the block in the ensuing motion after the force F is removed?

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 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) ?

The left and of the spring tied to a wall and at the right end is attached to a block of mass m, which is placed on a frictionless ground. The force F displaces the block by distance x where it is exactly balanced by the spring force. What is the maximum speed of the block in the ensuing motion after the force F is removed?

A uniform rod of length (L) and mass (M) is pivoted at the centre. Its two ends are attached to two springs of equal spring constants (k). The springs are fixed to rigid supports as shown in the figure, and the rod is free to oscillate in the horizontal plane. The rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle (theta) in one direction and released. The frequency of oscillation is. ? (##JMA_CHMO_C10_009_Q01##).

A spring of force constant K is cut in two parts at its one third length. When both the parts are stretched by same amount, the work done in the two parts, will be :-

One end of a long metallic wire of length (L) is tied to the ceiling. The other end is tied to a massless spring of spring constant . (K.A) mass (m) hangs freely from the free end of the spring. The area of cross- section and the Young's modulus of the wire are (A) and (Y) respectively. If the mass is slightly pulled down and released, it will oscillate with a time period (T) equal to :

Block A of mass 1 kg is placed on the rough surface of block B of mass 3 kg . Block B is placed on smooth horizontal surface. Blocks are given the velocities as shown. Find net work done by the frictional force. [in (-) ve J ]. .

ALLEN -TEST PAPER-Exercise (Physics)
  1. A block of mass m is pushed up against a spring, compressing it to a d...

    Text Solution

    |

  2. A body of mass 0.5 kg travels in a straight line with velocity v = ax^...

    Text Solution

    |

  3. One end of a light spring of spring constant k is fixed to a wall and ...

    Text Solution

    |

  4. Select the correct alternative.

    Text Solution

    |

  5. A constant force produces maximum velocity V on the block connected to...

    Text Solution

    |

  6. A particle with total energy E moves in one dimensional region where t...

    Text Solution

    |

  7. In the figure, block A is released from rest when the spring is its na...

    Text Solution

    |

  8. A body of mass 2.0 kg, force to travel in the x-direction, is subjecte...

    Text Solution

    |

  9. The potential energy for a force filed vecF is given by U(x,y)=cos(x+y...

    Text Solution

    |

  10. A particle of mass 5kg moving in the X-Y plane has its potential energ...

    Text Solution

    |

  11. As a particle moves along the x-axis, it is acted upon by a conservati...

    Text Solution

    |

  12. Water is flowing in a river at 2 ms^(-1). The river is 50 m wide and h...

    Text Solution

    |

  13. Which of the following statemente is / are INCORRECT? (a) Mechanical...

    Text Solution

    |

  14. Consider the following sketch of potential energy for a particle as a ...

    Text Solution

    |

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

    Text Solution

    |

  16. The figure below shows a graph of potential energy U(x) verses positio...

    Text Solution

    |

  17. A force F acting on a body depends on its displacement x as Fpropx^(a)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |