Home
Class 11
PHYSICS
A body of mass m dropped from a certain ...

A body of mass m dropped from a certain height strikes a light vertical fixed spring of stifness k. the height of its fall before touching the spring the if the maximum compression of the spring the equal to `(3 mg)/k` is

A

`(3 mg)/(2k)`

B

`(2 mg)/k`

C

`(3mg)/(4k)`

D

`(mg)/(4k)`

Text Solution

Verified by Experts

The correct Answer is:
A
`mg(h+(3mg)/K)=1/2K((3mg)/K)^(2)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A block of mass m strikes a light pan fitted with a vertical spring after falling through a distance h. If the stiffness of the spring is k, find the maximum compression of the spring.

A block is released from height h , find the maximum compression of spring of spring constant k .

A block of mass m is slowly lowered from a point where it just touches a vertical fixed spring of stiffness k, till it remains stationary after the applied force is withdrawn. Find the work done by the external agent(a) in compressing the spring by a distance x and (b) bringing the block to its stable equilibrium position.

A block of mass m is moving with an initial velocity v_0 towards a stationary spring of stiffness k attached to the wall as shown in figure a. Find the maximum compression in the spring. b. Is the work done by the spring negative or positive?

A block of mass m is released from a height h from the top of a smooth surface. There is an ideal spring of spring constant k at the bottom of the track. Find the maximum compression in the spring (Wedge is fixed)

A block of 200 g mass is dropped from a height of 2 m on to a spring and compress the spring to a distance of 50 cm. The force constant of the spring is

In an ideal pulley particle system, mass m_2 is connected with a vertical spring of stiffness k . If mass m_2 is released from rest, when the spring is underformed, find the maximum compression of the spring.

A 20 kg body is released from rest so as to slide in between vertical rails and compresses a vertical spring (k=1920(N)/(m) ) placed at a distance h=1.0 m from the strating position of the body. The rails offer a frictional force of 40 N opposing the motion of body. Find (a) the velocity v of the body just before striking with the spring, (b) the maximum compression of the spring and (c ) the distance h^(') through which the body is rebounded up.

A sphere of mass m and radius R rolls without sliding on a horizontal surface. It collides with a light spring of stiffness K with a kinetic energy E . If the surface ( AB ) under the spring is smooth, find the maximum compression of the spring.

A block of mass m initially at rest is dropped from a height h on to a spring of force constant k . the maximum compression in the spring is x then

RESONANCE-WORK POWER AND ENERGY-Exercise
  1. A body is falling under gravity . When it loses a gravitational potent...

    Text Solution

    |

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

    Text Solution

    |

  3. A body of mass m dropped from a certain height strikes a light vertica...

    Text Solution

    |

  4. A particle moves with a velocity v=(5hati-3hatj + 6hatk) ms^(-1) under...

    Text Solution

    |

  5. An electric motor creates a tension of 4500 newton in a hoisting cable...

    Text Solution

    |

  6. The potential energy of a partical veries with distance x as shown in ...

    Text Solution

    |

  7. The potential energy of a force filed vec(F) is given by U(x,y)=sin(x+...

    Text Solution

    |

  8. A spring of force constant 800N//m has an extension of 5cm. The work d...

    Text Solution

    |

  9. A body is moved along a straight line by a machine delivering constant...

    Text Solution

    |

  10. The total work done on a particle is equal to the change in its mechan...

    Text Solution

    |

  11. A ring of mass m can slide over a smooth vertical rod. The ring is con...

    Text Solution

    |

  12. The kinetic energy of a particle continuously icreses with time

    Text Solution

    |

  13. If force is always parallel to motion

    Text Solution

    |

  14. The given plot shows the variation of U, the potential energy of inter...

    Text Solution

    |

  15. A body of mass 5 kg is acted upon by a variable force.the force varies...

    Text Solution

    |

  16. An elevatore weighinig 500kg is to be lifted up at a constant velocity...

    Text Solution

    |

  17. A car of mass m is driven with acceleration a along a straight level r...

    Text Solution

    |

  18. The potential energy of a system increased if work is done

    Text Solution

    |

  19. Statement-1: A person walking on a horizontal road with a load on his ...

    Text Solution

    |

  20. Statement-1: Graph between potential energy of spring versus the exten...

    Text Solution

    |