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|Exercise Objective -2|9 Videos
  • WAVE MOTION AND WAVES ON A STRING

    HC VERMA|Exercise Exercises|57 Videos

Similar Questions

Explore conceptually related problems

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 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 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 .

By what fraction does the mass of a spring change when it is compressed by 1 cm ? The mass of the spring is 200 g at its natural length and the spring constant is 500 N m ^(-1)

A block of 2 kg is suspended from the ceiling through a massless spring of spring constant k=100 N/m. What is the elongation of the spring? If another 1 kg is added to the block, what would be the further elongation?

Figure shows a smooth track, a part of which is a circle of radius R. As block of mass m is pushed against a spring of spring constant k fixed at the left end and is then released. Find the initial compression of the spring so that the block presses the track with a force mg when it reaches the point P, where the radius of the track is horizontal.

2.00 mole of a monatomic ideal gas (U=1.5nRT) is enclosed in an adiabatic, fixed , vertical cylinder fitted with a smooth, light adiabatic piston. The piston is connected to a vertical spring of spring constant 200 N m^(-1) as shown in .the area of cross section of the cylinder is 20.0 cm^(2) . initially, the spring is at its natural length and the temperature of the gas is 300K at its natural length. the atmosphere pressure is 100 kPa. the gas is heated slowly for some time by means of an electric heater so as to move the position up through 10 cm. find (a) the work done by the gas (b) the final temperature of the gas and (c ) the heat supplied by the heater.

A mass m = 50 g is dropped on a vertical spring of spring constant 500 N/m from a height h= 10 cm as shown in figure (18-E14). The mass sticks to the spring and executes simple harmonic oscillations after that. A concave mirror of focal length 12 cm facing the mass is fixed with its principal axis coinciding with the line of motion of the mass, its pole being at a distance of 30 cm from the free end of the spring. Find the length in which the image of the mass oscillates.

A block of mass 5.0 kg is suspended from the end of a vertical spring which is stretched by 10 cm under the load of te block. The block is givena sharp impulse from below so that it acquires an upward speed of 2.0 m/s. How high will it rise? Take g=10 m/s^2

A wooden block of mass 0.5 kg and density 800 kgm^-3 is fastened to the free end of a vertical spring of spring constant 50 Nm^-1 fixed at the bottom. If the entire system is completely immersed in water, find a. the elongation (or compression) of the spring in equilibrium and b. the time period of vertical oscillations of the block when it is slightly depressed and released.

HC VERMA-WORK AND ENERGY-Exercises
  1. A block f mas 1 kg is placed at the point A of a rough track shown in ...

    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 a 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 against a horizontal spring fix...

    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 h and spring constant k is fixed...

    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

    |