Home
Class 11
PHYSICS
A block of mass 250g is kept on a vertic...

A block of mass 250g is kept on a vertical spring of spring constant 100N/m fixed from below. The spring is now compressed to have a length 10cm shorter than its natural length and the system is released from this position. How high does the block rise? take `g=10 m/s^2`.

Text Solution

Verified by Experts

The correct Answer is:
B, C

`m=250g=0.25kg, k=100N/m`
`x=10cm`
`=0.1m`
`g=10 m/sec^2,h=?`
Applying law of energy
`1/2kx^2=mg`
`rarr h=1/2((kx^2)/(mg))`
`=(100xx0.01)/(2x(0.250)xx10)`
0.2m=20cm`
Promotional Banner

Topper's Solved these Questions

  • WORK AND ENERGY

    HC VERMA ENGLISH|Exercise Question for Short Answer|16 Videos
  • WORK AND ENERGY

    HC VERMA ENGLISH|Exercise Objective -2|8 Videos
  • WAVE MOTION AND WAVES ON A STRING

    HC VERMA ENGLISH|Exercise Question for short Answer|7 Videos

Similar Questions

Explore conceptually related problems

A block of mass 250 g is kept on a vertical spring of spring constant 100 N/m fixed from below. The spring is now compressed to have length 10 cm shorter than its natural length and the system is released from this position. How high does the block rise? take g=10 m/s^2 .

A block of mass m suspended from a spring of spring constant k . Find the amplitude of S.H.M.

The pulley shown in figure has a radius of 20 cm and moment of inertial 0.2 kg-m^2. The string going over it is attached at one end to a vertical sprign of spring constant 50 N/m fixed from below and supports a 1 kg mas at other end. The system is released from rest with the spring at its natural length. Find the speed of the block when it has desceds through 10 cm. Take g=10 m/s^2 .

A planck of mass 5kg is placed on a frictionless horizontal plane. Further a block of mass 1kg is placed over the plank. A massless spring of natural length 2m is fixed to the plank by its one end. The other end of spring is compressed by the block by half of spring's natural length. They system is now released from the rest. What is the velocity of the plank when block leaves the plank? (The stiffness constant of spring is 100N//m )

A planck of mass 5kg is placed on a frictionless horizontal plane. Further a block of mass 1kg is placed over the plank. A massless spring of natural length 2m is fixed to the plank by its one end. The other end of spring is compressed by the block by half of spring's natural length. They system is now released from the rest. What is the velocity of the plank when block leaves the plank? (The stiffness constant of spring is 100N//m )

A plank of mass 5kg is placed on a frictionless horizontal plane. Further a block of mass 1kg is placed over the plank. A massless spring of natural length 2m is fixed to the plank by its one end. The other end of spring is compressed by the block by half of spring's natural length. They system is now released from the rest. What is the velocity of the plank when block leaves the plank? (The stiffness constant of spring is 100N//m )

A block of mass m hangs from a vertical spring of spring constant k. If it is displaced from its equilibrium position, find the time period of oscillations.

A block of mass m is pushed against a spring of spring constant k fixed at one end to a wall.The block can slide on a frictionless table as shown in the figure. The natural length of the spring is L_0 and it is compressed to one fourth of natural length and the block is released.Find its velocity as a function of its distance (x) from the wall and maximum velocity of the block. The block is not attached to the spring.

A block of mass m is pushed against a spring of spring constant k fixed at the end to a wall. The block can side on a frictionless table as shown in figure. The natural length of the spring is L_0 and it is compressed ti half its natural length when the block is relesed. Find teh velocity of the block aa s function of its distance x from the wall .

A block of mass 2kg is attached with a spring of spring constant 4000Nm^-1 and the system is kept on smooth horizontal table. The other end of the spring is attached with a wall. Initially spring is stretched by 5cm from its natural position and the block is at rest. Now suddenly an impulse of 4kg-ms^-1 is given to the block towards the wall. Find the velocity of the block when spring acquires its natural length

HC VERMA ENGLISH-WORK AND ENERGY-Exercises
  1. A block of mass m slides along a frictionless surfce as shown in the f...

    Text Solution

    |

  2. A block of mass 5.0 kg is suspended from the end of a vertical spring ...

    Text Solution

    |

  3. A block of mass 250g is kept on a vertical spring of spring constant 1...

    Text Solution

    |

  4. Figure shows a spring fixed at the bottom end of an incline of inclina...

    Text Solution

    |

  5. A block of mass m moving at a speed 'v' compresses as spring through a...

    Text Solution

    |

  6. Consider the situation shown in figure. Initially the spring is unstre...

    Text Solution

    |

  7. A block of mass m is attached to two unstretched springs of spring con...

    Text Solution

    |

  8. A block of mass m sliding n a smooth horizontal surface with velocity...

    Text Solution

    |

  9. A small block of mass 100 g is pressed again a horizontal spring fixed...

    Text Solution

    |

  10. A small hevy block is attached to the lower4 end of a light rod of len...

    Text Solution

    |

  11. Figure shows two block A and B, each having a mass of 320 g connected ...

    Text Solution

    |

  12. one end of a spring of natural length ha and spring constant k is fixe...

    Text Solution

    |

  13. Figure shows a light rod of length l rigidly attached to a small heavy...

    Text Solution

    |

  14. The bob of a pendulum at rest is given a sharp hit to impart a horizon...

    Text Solution

    |

  15. A simple pendulum consists of a 50 cm long string connected to a 100 g...

    Text Solution

    |

  16. Figure shows a smooth track, a part of which is a circle of radius R. ...

    Text Solution

    |

  17. The bob of a stationary pendulum is given a sharp hit to impart it a h...

    Text Solution

    |

  18. A heavy particle is usspended by a 1.5 m long string . It is given a h...

    Text Solution

    |

  19. A simple pendulum of length L having a bob of mass m is deflected from...

    Text Solution

    |

  20. A particle slides on the surface of a fixed smooth sphere starting fro...

    Text Solution

    |