Home
Class 11
PHYSICS
A stone tied to the end of a string 0.4 ...

A stone tied to the end of a string 0.4 m long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 25 s, the magnitude of acceleration is :

Text Solution

Verified by Experts

The correct Answer is:
B

Time of flight `4=(2u sin theta)/(g cos 60^(@))` …(i)
(angle of projection `=theta`)
Distance travelled by Q on incline in 4 secs is
`=0+1/2xx(sqrt(3)g)/2xx4^(2)=40sqrt(3)`
& the range of particle 'P' is `40 sqrt(3)`
`=u cos thetaxx4+1/2(sqrt(3)g)/2xx4^(2)=40sqrt(3)`
`=u cos theta=0,` so `theta=90^(@)`
from equation (i) `u=10 m//s`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    ALLEN |Exercise EXERCISE-03|6 Videos
  • KINEMATICS

    ALLEN |Exercise Assertion-Reason|20 Videos
  • KINEMATICS

    ALLEN |Exercise EXERCISE-01|55 Videos
  • ERROR AND MEASUREMENT

    ALLEN |Exercise Part-2(Exercise-2)(B)|22 Videos
  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

Similar Questions

Explore conceptually related problems

A stone tied to the end of a string 80 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 s, the magnitude of acceleration is :

A stone tied at the end of a string 80 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 25 revolutions in 14 s, what is the magnitude of acceleration of the stone ?

A stone tied to the end of astring 80 cm long is whirled in a horizontal circle with a constant speed . If the stone makes 14 revolutions in 25 s , what is the magnitude and direction of acceleration of the stone?

A 2 kg stone at the end of a string 1 m long is whirled in a vertical circle. At some point its speed is 4m/s. The tension of the string is 52 newton. At this instant the stone is :

A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. What is the tension in the string ? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N ?

A stone of of mass 0 .25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev//min in a horizontal plane What is the tension in the string ? What is the maximum speed with which the stone can be whirled around If the string can withstand a maximum tension of 200 N ?

A stone is tied at end of string and whirled in horizontal plane with circular path of radius 20 cm. If its acceleration is 980 cms^(-2) , then what will be its angular speed ?

A point mass m is suspended from a light thread of length l, fixed at O, is whirled in a horizontal circle at constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are

Calculate the tension in a string that whirls a 2 kg - toy in a horizontal circle of radius 2.5 m when it moves at 3m/s.

A particle is travelling in a circular path of radius 4m . At a certain instant the particle is moving at 20m/s and its acceleration is at an angle of 37^(@) from the direction to the centre of the circle as seen from the particle (i) At what rate is the speed of the particle increasing? (ii) What is the magnitude of the acceleration?

ALLEN -KINEMATICS-EXERCISE-02
  1. Two boats A and B are moving along perpendicular paths in a still lake...

    Text Solution

    |

  2. A trolley was moving horizontally on a smooth ground with velocity v w...

    Text Solution

    |

  3. A stone tied to the end of a string 0.4 m long is whirled in a horizon...

    Text Solution

    |

  4. A particle is projected from a point P (2m, 0m, 0m) with a velocity 10...

    Text Solution

    |

  5. A body is thrown horizontally with a velocity sqrt(2gh) from the top o...

    Text Solution

    |

  6. A particle A is projected with speed v(A) from a point making an angle...

    Text Solution

    |

  7. A body is projected at time t = 0 from a certain point on a planet's s...

    Text Solution

    |

  8. A particle moves in the xy plane and at time t is at the point (t^(2),...

    Text Solution

    |

  9. The figure shows the velocity time graph of the particle which moves a...

    Text Solution

    |

  10. An object may have :-

    Text Solution

    |

  11. A particle moves with constant speed v along a regular hexagon ABCDEF ...

    Text Solution

    |

  12. A particle moves along x-axis according to the law x=(t^(3)-3t^(2)-9t+...

    Text Solution

    |

  13. a particle moving along a straight line with uniform acceleration has ...

    Text Solution

    |

  14. A particle moves along the X-axis as x=u(t-2s)+a(t-2s)^2.

    Text Solution

    |

  15. The co-ordinate of the particle in x-y plane are given as x=2+2t+4t^(2...

    Text Solution

    |

  16. A particle leaves the origin with an lintial veloity vec u = (3 hat i...

    Text Solution

    |

  17. Pick the correct statements:

    Text Solution

    |

  18. Which of the following statements are true for a moving body?

    Text Solution

    |

  19. If the velocity of the particle is given by v=sqrt(x) and initially pa...

    Text Solution

    |

  20. The velocity- time graph of the particle moving along a straight line ...

    Text Solution

    |