Home
Class 12
PHYSICS
A cyclist on the ground goes round a cir...

A cyclist on the ground goes round a ciruclar path of circumference 34.3 m in `sqrt(22)` second. The angle made by him, with the vertical, will be:-

A

`45^(@)`

B

`40^(@)`

C

`42^(@)`

D

`48^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A

`tan theta =(v^(2))/(rg)=(((34.3)/sqrt(22))^(2))/(((34.3)/(2pi))xx10)=1`
`therefore theta=45^(@)`
Promotional Banner

Topper's Solved these Questions

  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-II|112 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise SWOE|44 Videos
  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN |Exercise EXERCISE (JA)|4 Videos
  • RACE

    ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos

Similar Questions

Explore conceptually related problems

A charges cork of mass m suspended by a light stright is placed in uniform electric field strength E=(hat(i)+hat(j))xx10^(5) NC^(-1) as shown in the figure. If in equilibrium position tension in the string is (2mg)/((1+sqrt(3))) then angle 'alpha' with the vertical is:

A circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30^(@) (see the given figure)

A car P is moving with a uniform speed 5sqrt3 m//s towards a carriage of mass 9 kg at rest kept on the rails at a point B as shown in figure. The height AC is 120 m. Cannon balls of 1 kg are fired from the car with an initial velocity 100m//s at an angle 30^@ with the horizontal. The first cannon hall hits the stationary carriage after a time t_0 and sticks to it. Determine t_0 . At t_0 , the second cannon ball is fired. Assume that the resistive force between the rails and the carriage is constant and ignore the vertical motion of the carriage throughout. If the second ball also hits and sticks to the carriage, what will be the horizontal velocity of the carriage just after the second impact?

The angle of elevation of a jet plane from a point on the ground had measure 60^(@) . After a flight of 30 seconds, the angle of elevation has measure 30^(@) . If the jet plane is flying at a constant height of 4500 sqrt3m , find the speed of the jet plane

A point P moves in counter clockwise direction on a circular path as shown in the figure. The movement of 'P' is such that it sweeps out a length s=t^(2)+5 , wheres is in metres and t is in seconds. The radius of the path is 20m. The acceleration of 'P' when t=5sqrt((3)/(10)) seconds is nearly:

A man whose mass is m kg jumps vertically into air from a sitting position in which his centre of mass is at a height h_(1) from the ground. When his feet are just about to leave the ground his centre of mass is h_(2) from the ground and finally rises to h_(3) when he is at top of the jump . What is the average upwards force exerted by the ground on him ?

A shell is fired from a point O at an angle of 60^(@) with a speed of 40 m//s & strikes a horizontal plane throught O, at a point A. The gun is fired a second time with the same angle of elevation but a different speed v. If it hits the target which starts to rise vertically from A with a constant speed 9sqrt(3) m//s at the same instant as the shell is fired, find v.

A gun which fires small balls of mass 20 g is firing 20 balls per second on the smooth horizontal table surface ABCD . If the collision is perfectly elastic and balls are striking at the centre of table with a speed of 5 m//s at an angle of 60^(@) with the vertical just before collision, then force exerted by one of the legs on ground is (assume total weight of the table is 0.2 kg )

A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m//s at an angle of 30(@) with the horizontal. How far from the throwing point will the ball be at the height of 10 m from the ground ? [ g = 10m//s^(2) , sin 30^(@) = (1)/(2) , cos 30^(@) = (sqrt(3))/(2)]

On a frictionless horizontal surface , assumed to be the x-y plane , a small trolley A is moving along a straight line parallel to the y-axis ( see figure) with a constant velocity of (sqrt(3)-1) m//s . At a particular instant , when the line OA makes an angle of 45(@) with the x - axis , a ball is thrown along the surface from the origin O . Its velocity makes an angle phi with the x -axis and it hits the trolley . (a) The motion of the ball is observed from the frame of the trolley . Calculate the angle theta made by the velocity vector of the ball with the x-axis in this frame . (b) Find the speed of the ball with respect to the surface , if phi = (4 theta )//(4) .

ALLEN -NEWTONS LAWS OF MOTION-EXERCISE-I
  1. A block of mass m is placed on a smooth wedge of inclination theta. T...

    Text Solution

    |

  2. The coefficient of static friction, mu(s) between block A of mass 2 k...

    Text Solution

    |

  3. A cyclist on the ground goes round a ciruclar path of circumference 34...

    Text Solution

    |

  4. Two particles of masses m and M(Mgtm) are connected by a cord that pas...

    Text Solution

    |

  5. Two forces vecF(1)=(3N)hati-(4N)hatj and vecF(2)=-(1N)hati-(2N)hatj ac...

    Text Solution

    |

  6. A horizontal force of 10N is necessary to just hold a block stationary...

    Text Solution

    |

  7. In the figure given below, the position time graph of a particle of ma...

    Text Solution

    |

  8. A person is standing in an elevator. In which situation he finds his w...

    Text Solution

    |

  9. Two weights w(1) and w(2) are suspended from the ends of a light strin...

    Text Solution

    |

  10. A particle is moving under the influence of a force which is fixed in ...

    Text Solution

    |

  11. A force of 10 Newton acts on a body of mass 20 kg for 10 seconds. Cha...

    Text Solution

    |

  12. A rocket of mass 1000 kg is to be projected vertically upwards. The ga...

    Text Solution

    |

  13. Three blocks of masses m(1),m(2)and m(3) are connected by massless str...

    Text Solution

    |

  14. A 0.5 kg ball moving with a speed of 12 m//s strikes a hard wall at an...

    Text Solution

    |

  15. A person used force (F) , shown in figure to move a load with constant...

    Text Solution

    |

  16. The ratio of gravitational mass to inertial mass is equal to:

    Text Solution

    |

  17. A given object takes n times as much time to slide down a 45^(@) rough...

    Text Solution

    |

  18. The figure shows a horizontal force vecF acting on a block of mass M o...

    Text Solution

    |

  19. A 150 g tenins ball coming at a speed of 40m/s is hit straight back by...

    Text Solution

    |

  20. Three solids of masses m(1),m(2) and m(3) are connected with weightles...

    Text Solution

    |