Home
Class 12
PHYSICS
The system is released from rest with sp...

The system is released from rest with spring intially in its natural length. If mass of the block m = 10 kg. and spring constant `k = 100 N//m`, then maximum extension in spring is :

A

1 m

B

`(1)/(2) m`

C

2 m

D

2.5 m

Text Solution

Verified by Experts

The correct Answer is:
A

Let maximum elongation in spring be X, then block descends through `(x)/(2)`

BY WET
`"mg"(x)/(2)-(1)/(2)kx^(2)=0rArr X=(mg)/(k)=(10xx10)/(100)=1m`
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.67|10 Videos
  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.68|9 Videos
  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.65|9 Videos
  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise High Level Problems (HIP)|19 Videos
  • ELECTRO MAGNETIC WAVES

    RESONANCE ENGLISH|Exercise Exercise 3|27 Videos

Similar Questions

Explore conceptually related problems

The system is released from rest with both the springs in unstretched positions. Mass of each block is 1 kg and force constant of each spring is 10 N//m . Extension of horizontal spring in equilibrium is

Initially spring is in natural length and both blocks are in rest condition. Then deter mine maximum extension in spring . K = 20 N/M

The system is released from rest with both the springs in unstretched positions. Mass of each block is 1 kg and force constant of each spring is 10 N//m . In the equilibrium position, speed of the block placed horizontally is

The system is released from rest with both the springs in unstretched positions. Mass of each block is 1 kg and force constant of each spring is 10 N//m . Then choose the incorrect option(s). Assume puleys and strings are massless and all contacts are smooth. (g = 10 m//s^(2))

A block of mass m is attached with a spring in vertical plane as shown in the figure. If initially spring is in its natural length and the block is released from rest, then maximum extension in the spring will be

Blocks A and B shown in the figure are having equal masses m. The system is released from rest with the spring unstretched. The string between A and ground is cut, when there is maximum extension in the spring. The acceleration of centre of mass of the two blocks at this instant is

Find the maximum tension in the spring if initially spring at its natural length when block is released from rest.

Two blocks of masses m_(1) = 2kg and m_(2) = 4kg are attached to two ends of a light ideal spring of force constant k = 1000 N // m. The system is kept on a smooth inclined plane inclined at 30^(@) with horizontal. The block m_(2) is attached to a light string whose other end is connected to a mass m_(3) = 1 kg . A force F = 15N is applied on m_(1) and the system is released from rest. Assume initially the spring is at relaxed position and the system is released from rest. Find the (a) maximum extension of the spring. (

Consider the situation shown in figure. Mass of block A is m and that of blcok B is 2m. The force constant of string is k. Friction is absent everywhere. System is released from rest with the spring unstretched. Find (a) The maximum extension of the spring x_(m) (b) The speed of block A when the extension in the springt is x=(x_(m))/(2) (c ) The net acceleration of block B when extension in the spring is x=(x_(m))/(4).

Block A of mass m is placed on a plank B . A light support S is fixed on plank B and is attached with the block A with a spring of spring constant K . Consider that initially spring is in its natural length. If the plank B is given an acceleration a, then maximum compression in the spring is (xma)/(k) . Find the value of x (All the surface are smooth)

RESONANCE ENGLISH-DAILY PRACTICE PROBLEM-DPP No.66
  1. The figure shows a double slit experiment with P and Q as the slits. T...

    Text Solution

    |

  2. An astronomical telscope has an eyepiece of focal-length 5 cm. If the ...

    Text Solution

    |

  3. Block 'A' is placed ober the block 'B' as shown in the figure. Wedge i...

    Text Solution

    |

  4. The given system is displacement by distance 'A' and released. Both th...

    Text Solution

    |

  5. A 1m long wire having tension of 100 N and of linear mass density 0.01...

    Text Solution

    |

  6. A radioactive nucleus is being prodouced at a constant rate alpha per ...

    Text Solution

    |

  7. Which of the following dimensional formula is incorrect

    Text Solution

    |

  8. To manufacture a polyethlene film a wide band is pulled over rollers a...

    Text Solution

    |

  9. A solid cylinder of mass M and radius R rolls without slipping down an...

    Text Solution

    |

  10. A solid sphere and a solid cylinder having the same mass and radius, r...

    Text Solution

    |

  11. if in a string fixed at both ends, the sevents harmonic is set up, the...

    Text Solution

    |

  12. A current loop consists of two identical semicircular parts each of ra...

    Text Solution

    |

  13. If a charged particle goes unaccelerated in a region containing electr...

    Text Solution

    |

  14. Calculate ratio of i(1) and (i(2)+i(3))

    Text Solution

    |

  15. A ray of light incident at an angle theta on a refracting face of a pr...

    Text Solution

    |

  16. A body with mass 5 kg is acted upon by a force F = (-3hati + 4 hatj) N...

    Text Solution

    |

  17. A uniform cubical block of mass M is attached to a pulley. One end of ...

    Text Solution

    |

  18. The system is released from rest with spring intially in its natural l...

    Text Solution

    |

  19. Moment of inertia of an ellipse shaped wire of mass 'm', semimajor axi...

    Text Solution

    |

  20. A light rod of length 2 m is suspended from ceiling horizontally by me...

    Text Solution

    |