Home
Class 12
PHYSICS
Track OABCD (as shown is figure) is smoo...

Track `OABCD` (as shown is figure) is smooth and fixed in vertical plane. What minimum speed has to be given to a particle lying at point `A`, so that it can reach point `C`?

A

`60m//s`

B

`100m//s`

C

`70m//s`

D

`80m//s`

Text Solution

Verified by Experts

The correct Answer is:
D
Apply work energy theorem between point `A` & `B` we will get
`v=sqrt(2gh)=sqrt(2xx10xx320)=80m//s`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A tank is initially at a perpendicular distance BT=360 m from the plane of firing as shown . The enemy tank is moving with a speed of 9 m/s in direction TA as shown in figure. A gun can fire shell in y-z plane only with a speed 100 m/s at an angle of 53^(@) such that the shell lands at points A. If tank started at t=0 then time interval (in sec) after which shell is to to be fired to hit the tank is

A simple pendulum of bob of mass m and length L has one of its ends fixed at the centre O of a vertical circle, as shown in the figure. If 0=60^(@) at the point P , the minimum speed u that should be given to the bob so that it completes vetical circle is

(a) A box of weight 10sqrt(3) N is held n equilibrium with the help of two strings OA and OB as shown in figure-1. the string OA is horizontal. Find the tensions in both the stings. (b) If you can change location of the point A on the wall and hence the orientation of the string OA without altering the orientation of the string OB as shown in figure-II. what angle should the string OA make with the wall so that a minimum tension is developed in it?

From a tower of height H , a particle is thrown vertically upwards with a speed u . The time taken by the particle , to hit the ground , is n times that taken by it to reach the highest point of its path. The relative between H, u and n is :

Two large plane mirrors OM and ON are arranged at 150° as shown in the figure. P is a point object and SS' is a long line perpendicular to the line OP. Find the length of the part of the line SS' on which two images of the point object P can be seen.

A block of mass m=2kg is resting on a rough inclined plane of inclination plane of inclination 30^(@) as shown in figure. The coefficient of friction between the block and the plane is mu=0.5 . What minimum force F should be applied perpendicular to the plane on the block, so that blocks does not slip on the plane? (g=10m//s^(2))

A bob of mass m suspended by a light string of length L is whirled into a vertical circle as shown figure . What will be the trajectory of the particle , if the string is cut at (a) point B ? (b) point C ? (C ) Point X ?

A 'T' shaped object with dimensions shown in the figure, is lying on a smooth floor. A force 'vecF' is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect C.

The diagram show a small bead of mass m carrying charge q . The bead can freely move on the smooth fixed ring placed on a smooth horizontal plane . In the same pane a charge +Q has also been fixed as shown. The potential at the point P due to +Q is V . The velocity which the bead should projected from the point P so that it can complete a circle should be greater than .

Two small particles of equal masses stant moving in opposite direction from a point A in a burtizonetal circule orbic their tangention velocity are V and 2V , respectively as shown in the figure between collsions , the particals move with constant speed After making how many elastic collition , other the then that at A these two partical will again reach the point A ?

ALLEN -TEST PAPER-Exercise (Physics)
  1. Two inclined frictionless tracks , one gradual and the other steep mee...

    Text Solution

    |

  2. A particle A is projected verically upwards. Another indentical partic...

    Text Solution

    |

  3. Track OABCD (as shown is figure) is smooth and fixed in vertical plane...

    Text Solution

    |

  4. In the ideal atwood machine arrangement shown, what is the change in k...

    Text Solution

    |

  5. A partical of mass 2kg is moving on the x-axis with a constant mechani...

    Text Solution

    |

  6. A chain of length L and mass m is placed upon a smooth surface. The le...

    Text Solution

    |

  7. Potential energy function along x-axis in a certain force field is giv...

    Text Solution

    |

  8. A pigeon in flight experience a force of air resistance given by F=bv^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. A body with mass 2kg moves in one direction in the presence of a force...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |