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

Track OABCD (as shown in figure ) is smooth. What minimum speed has to be given to a particle lying at point A, so that it can reach point C? (take `g=10 m//s^2`)

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

With what minimum speed must a particle be projected from origin so that it is able to pass through a given point (30m, 40m) ? Take g=10m//s^(2)

With what minimum speed must a particle be projected from origin so that it is able to pass through a given point (30m, 40m) ? Take g=10m//s^(2)

A man wants to reach point B on the opposite bank of a river flowing at a speed as shown in figure. What minimum speed relative to water should the man have so that he can reach point B? In which direction should he swim?

A simple pendulum with a bob of mass m = 1 kg, charge q = 5muC and string length imis given a horizontal velocity a in a uniform electric field E = 2 xx 10^6 V/m at its bottommost point A, as shown in figure. It is given that the speed a is such that the particle leaves the circle at point C. Find the speed a (Take g = 10 m/ s^2 )

A particle is placed at the point A of a frictionless track ABC as shown in figure. It is pushed slightly towards right. Find its speed when it reches the point B. Take g=10 m/s^2 .

A man wants to reach point B on the opposite bank of a river flowing at a speed u as shown in (Fig. 5.193). What minimum speed relative to water to water should the man have so that he can reach directly to point B ? In which direction should he swim ? .

A smooth sphere ( mass 10kg. negligible radius ) rolls on a smooth curved surface from the point A with a speed of 10m//s as shown in figure. The sphere reaches the point D passing through point B . If the ground is taken as reference . Then [ Take g=10m//s^(2)] The kinetic energy at C

A smooth sphere (mass 10kg. negligible radius) rolls on a smooth curved surface from the point A with a speed of 10m//s as shown in figure. The sphere reaches the point D passing through point B . If the ground is taken as reference . Then [ Take g=10m//s^(2)] The total energy of the sphere at the point A .

A smooth sphere ( mass 10kg. negligible radius ) rolls on a smooth curved surface from the point A with a speed of 10m//s as shown in figure. The sphere reaches the point D passing through point B . If the ground is taken as reference . Then [ Take g=10m//s^(2)] The kinetic energy at D ,

A smooth sphere ( mass 10kg. negligible radius ) rolls on a smooth curved surface from the point A with a speed of 10m//s as shown in figure. The sphere reaches the point D passing through point B . If the ground is taken as reference . Then [ Take g=10m//s^(2)] Will the sphere go beyond D ?

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

    Text Solution

    |

  2. A body A is projected upwards with velocity v1. Another body B of same...

    Text Solution

    |

  3. Track OABCD (as shown in figure ) is smooth. What minimum speed has to...

    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 of mass m is placed upon a smooth surface. The...

    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 and 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 1kg 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

    |