Home
Class 11
PHYSICS
A stone is thrown horizontally with a ve...

A stone is thrown horizontally with a velocity of `10m//sec`. Find the radius of curvature of it’s trajectory at the end of `3 s` after motion began. `(g=10m//s^(2))`

A

`10sqrt10m`

B

`100sqrt10m`

C

`sqrt10m`

D

`100 m`

Text Solution

Verified by Experts

The correct Answer is:
A
Radius of curvature `r=v_(t)^(2)/(g sin alpha)`
`V=sqrt(v_(x)^(2)+v_(y)^(2))=10sqrt10`
`tan alpha=v_(x)/v_(y)=1/3, sin alpha=1/sqrt10`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    NARAYNA|Exercise LEVEL-VI|14 Videos

  • CIRCULAR MOTION

    NARAYNA|Exercise LEVEL-VI PASSAGE|3 Videos

  • CALORIMETRY

    NARAYNA|Exercise Level- II (H.W)|11 Videos

  • COLLISION

    NARAYNA|Exercise Level-II (H.W)|54 Videos

Similar Questions

Explore conceptually related problems

A stone is thrown horizontally with a velocity of 10 m//s at h = 0 . The radius of curvature of the stone's trajectory at t = 3s is : [Take g = 10 m//s^(2) ]

From the top of a tower, a particle is thrown vertically downwards with a velocity of 10 m//s . The ratio of the distances, covered by it in the 3rd and 2nd seconds of the motion is ("Take" g = 10 m//s^2) .

A particle is projected with velocity 20sqrt(2)m//s at 45^(@) with horizontal. After 1s , find tangential and normal acceleration of the particle. Also, find radius of curveture of the trajectory at that point. (Take g=10m//s^(2))

A projectile is fired horizontally with 30m/s from a tower of height 50m .If radius of curvature of trajectory of projectile 3 seconds after projectile is fired,is 180sqrt(k) metres,then value of k is (g=10m/s^(2)

A body of mass 2 kg is thrown vertically upwards with an initial velocity of 20 m/s. What will be its potential energy at the end of 2 s ? (Assume g = 10 m//s^(2) ).

A particle is thrown horizontally from the top of a tall tower with a speed of 10m/s. if radius of curvature of path followed is 4sqrt(2k m at t=1sec, then find the value of k.

A ballon moves up with a velocity 5 m//s . A stone is thrown from it with a horizontal velocity 2 m//s relative to it. The stone hits the ground at a point 10 m horizontally away from it. (Take g = 10 m//s^(2) )

A particle is thrown with a velocity 10 m//s and its horizontal range is 5 m . Find angle/angles of the projection.

NARAYNA-CIRCULAR MOTION-LEVEL II(H.W)
  1. A stone is thrown horizontally with a velocity of 10m//sec. Find the r...

    Text Solution

    |

  2. A ball of mass 0.2 kg is thrown vertically upwards by applying a force...

    Text Solution

    |

  3. A body of mass 3 kg is moving alone a straight line with a velocity of...

    Text Solution

    |

  4. A rubber ball of mass 50 g falls from a height of 5m and rebounds to a...

    Text Solution

    |

  5. A stream of water flowing horizontally with a speed of 15 ms^(-1) push...

    Text Solution

    |

  6. What is the magnitude of the total force on a driver by the racing car...

    Text Solution

    |

  7. A base ball of mass 150 gm travelling at speed of 20 m//s is caught by...

    Text Solution

    |

  8. A dynamometer D is attached to two blocks of masses 6 kg and 4 kg.Forc...

    Text Solution

    |

  9. A particle of mass m moving with velocity u makes an elastic one-dimen...

    Text Solution

    |

  10. Figure shows the position-time graph of a particle of mass 0.04kg. Sug...

    Text Solution

    |

  11. The elevator shown in fig. is descending with an acceleration of 2ms^(...

    Text Solution

    |

  12. A block of mass m is pulled by a uniform chain of mass m tied to it by...

    Text Solution

    |

  13. Two masses of 8 kg and 4 kg are connected by a string as shown in figu...

    Text Solution

    |

  14. Consider the system as shown in the figure. The pulley and the string ...

    Text Solution

    |

  15. Two masses of 1kg and 5kg are attached to the ends of a massless strin...

    Text Solution

    |

  16. A chain consisting of 5 links each of mass d 0.1 kg is lifted vertical...

    Text Solution

    |

  17. Three blocks of equal masses (each 3kg) are suspended by weightless st...

    Text Solution

    |

  18. Pulleys and strings are massless.The horizontal surface is smooth.What...

    Text Solution

    |

  19. When a train starting from rest is uniformly accelerating, a plumb bob...

    Text Solution

    |

  20. The pulleys and strings shown in the figure are smooth and of negligib...

    Text Solution

    |

  21. Two bodies of mass 4kg and 6kg are attached to the ends of a string pa...

    Text Solution

    |