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

  • TEST PAPERS

    ALLEN|Exercise PAPER 2|60 Videos

  • TEST PAPERS

    ALLEN|Exercise PAPER 3|100 Videos

  • TEST PAPER 4

    ALLEN|Exercise PHYSICS|45 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (J-A)|7 Videos

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?

A spring of force constant 24N // m is resting on a frictionless horizontal surface. A force of 10N is applied on the block of mss 4kg at one end of the spring. What is the speed of the block when it has been moved through a distance of 0.5 m ?

Two 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 equilibrium position by a distance x towards right, find the restoring force.

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.

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 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

A block A of mass m_(1) is placed on a horizontal frictionless table. It is connected to one end of a light spring of force constant k whose other end is fixed to a wall. A small block B of mass m_(2) is placed on block A. The coefficient of static friction between the blocks is mu . The system is displaced slightly from its equilibrium position and released. What is the maximum amplitude of the resulting simple harmonic motion of the system so that the upper block does not slip over the lower block ?

ALLEN-TEST PAPERS-MATHS
  1. The left and of the spring tied to a wall and at the right end is atta...

    Text Solution

    |

  2. If complex number z(zne2) satisfies the equation z^(2)=4z+|z|^(2)+(16)...

    Text Solution

    |

  3. Let omegabe a complex number which satisfies iomega=(u^(2)-1)/(u^(2)+...

    Text Solution

    |

  4. If the function f(x)={{:((1+cospix)/(pi^(2)(x+1)^(2)),",",xlt-1),(ax...

    Text Solution

    |

  5. The value of the following limit lim(ntooo) n(n+1)(ln(1+(1)/(n))-sin((...

    Text Solution

    |

  6. number of solutions for x between 3 and 15 if int(0)^(x)[t]dt=int(0)^(...

    Text Solution

    |

  7. If the length of perpendicular from (0,0,0) to the plane ax+by+cz+d=0 ...

    Text Solution

    |

  8. A transversal cuts side AB and AD and diagonal AC of parallelogram ABC...

    Text Solution

    |

  9. Consider curve y=(1+x)^(y)+sin^(-1)(sin^(2)x). Which of the following ...

    Text Solution

    |

  10. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  11. Suppose y=f(x)andy=g(x) are two functions whose graph intersect at th...

    Text Solution

    |

  12. A function y=f(x) satisfies f"(x)=-(1)/(x^(2))-pisin(pix),f(2)=pi+(1)...

    Text Solution

    |

  13. Let(1+X^(2))^(2)(1+X)^(n)=sum(k=0)^(n+4)a(k)X^(k).ifa(1),a(2),a(3) ar...

    Text Solution

    |

  14. If f(x) is double differentiable function such that |f"(x)|le5 for ea...

    Text Solution

    |

  15. overline(x)andoverline(y) be two variable vectors satisfying simultan...

    Text Solution

    |

  16. The curve defined by sqrt((x)/(a))+sqrt((y)/(b))=1 gives a part of pa...

    Text Solution

    |

  17. The curve defined by sqrt((x)/(a))+sqrt((y)/(b))=1 gives a part of pa...

    Text Solution

    |

  18. In a problem of differentiation of (f(x))/(g(x)), one student writes ...

    Text Solution

    |

  19. In a problem of differentiation of (f(x))/(g(x)), one student writes ...

    Text Solution

    |