Home
Class 12
PHYSICS
The left and of the spring tied to a wal...

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

`sqrt((Fx)/(m))`

B

`sqrt((Fx)/(2m))`

C

`sqrt((2Fx)/(m))`

D

`xsqrt((F)/(m))`

Text Solution

Verified by Experts

The correct Answer is:
A

`kx=F` and `(1)/(2)kx^(2)=(1)/(2)mv^(2)rArrv=sqrt((Fx)/(m))`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

In the figure shown, a spring of spring constant K is fixed at on end and the other end is attached to the mass 'm' . The coefficient of friction between block and the inclined plane is mu . The block is released when the spring is in tis natural length. Assuming that the theta gt mu , the maximum speed of the block during the motion is.

In Fig. three identical massless springs are kept horizontal. The left end of the first is tied to a wall. The left end of the second spring is tied to a block of mass m placed on rough ground and the ,eft end of the third spring is tied to a block of mass m placed frictionless ground. The right end of each spring is pulled by a force that is increased gradually from zero to F. Extensions in these springs are x_(1) , x_(2) and x_(3) , respectively. Find the relationship between x_(1) , x_(2) , and x_(3)

A force F is applied on a block of mass M . The block is displaced through a distance d in the direction of the force. What is the work done by the force on the block? Does the internal energy change because of this work?

Tow identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in figure. When the mass is displaced from equilibrum position by a distance x towards right, find the restoring force.

A block is suspended by an ideal spring of force constant force F and if maximum displacement of block from its initial mean position of rest is x_(0) then

Two springs are in a series combination and are attached to a block of mass 'm' which is in equilibrium. The spring constants and extension in the springs are as shown in the figure. Then the force exerted by the spring on the block is :

A block of mass m is connected to a spring of force constant k. Initially the block is at rest and the spring has natural length. A constant force F is applied hrizontally towards right. The maximum speed of the block will be (there is no friction between block and the surface)

Figure a) shows a spring of force constant k clamped rigidly at once end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure b) shows the same spring with both ends free and attached to a mass m at either end. Each end of the spring in figure is stretched by the same force F. (a) What is the maximum extension of the spring in the two cases ? (b) If the mass in figure and the two masses in figure are released free, what is the period of oscillation in each case?

Figure a) shows a spring of force constant k clamped rigidly at once end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure b) shows the same spring with both ends free and attached to a mass m at either end. Each end of the spring in figure is stretched by the same force F. (a) What is the maximum extension of the spring in the two cases ? (b) If the mass in figure and the two masses in figure are released free, what is the period of oscillation in each case?

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

ALLEN-TEST PAPER-Exercise (Physics)
  1. A pigeon in flight experience a force of air resistance given by F=bv^...

    Text Solution

    |

  2. A potential energy curve U(x) is shown in the figure. What value must ...

    Text Solution

    |

  3. The left and of the spring tied to a wall and at the right end is atta...

    Text Solution

    |

  4. A block weighing 40N travels down a smooth fixed curved track AB joine...

    Text Solution

    |

  5. Two atoms interact with each other according to the following force F ...

    Text Solution

    |

  6. The potential energy U(x) of a particle moving along x-axis is shown i...

    Text Solution

    |

  7. A particle is to move along the x-axis from x=0 to x=x(1) while a cons...

    Text Solution

    |

  8. A body with mass 1kg moves in one direction in the presence of a force...

    Text Solution

    |

  9. An escalator is used to move 5 people (60kg each) per minute from the ...

    Text Solution

    |

  10. A stone is dropped into a quiet lake and waves move in circles at the ...

    Text Solution

    |

  11. For conservative force field, vec(F)=-(delU)/(delx)hat(i)-(delU)/(dy)...

    Text Solution

    |

  12. Find the value of x(1), so that int(0)^(x(1))ydx=5

    Text Solution

    |

  13. A rocket rises vertically up from the surface of earth so that it is d...

    Text Solution

    |

  14. Find the rate of change of radius of a sphere when its radius is 4 cm ...

    Text Solution

    |

  15. Consider following statement :- (A) any physical quantity may have m...

    Text Solution

    |

  16. A particle is moving on X-axis. Its velocity time graph is given in th...

    Text Solution

    |

  17. In the given arrangement shown in figure, surface is frictionless, str...

    Text Solution

    |

  18. The position of a particle moving in space varies with time t accordin...

    Text Solution

    |

  19. V(x) is the velocity of a particle of a particle moving along the x-ax...

    Text Solution

    |

  20. At t=0 two trucks A and B were at same point on the road . At t=t(1), ...

    Text Solution

    |