Home
Class 11
PHYSICS
A tennis ball, starting from rest, rolls...


A tennis ball, starting from rest, rolls down the hill in the drawing. At the end of the hill the ball becomes airborne, leaving at an angle of `37^(@)` with respect to the ground treat the ball as a thin-walled spherical shell.
Q. The velocity of projection `v` is

A

`sqrt(2gh)`

B

`sqrt((10)/(7)gh)`

C

`sqrt((5)/(7)gh)`

D

`sqrt((6)/(5)gh)`

Text Solution

Verified by Experts

`K_("total")` after falling a height `h` is mgh
`(K_(R))/(K_(T))=(2)/(3)`
`thereforeK_(T)=(1)/(2)mv^(2)=((3)/(5))(mgh)`
`thereforev=sqrt((6gh)/(5))`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 2|1 Videos

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 2 Subjective|36 Videos

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 2 Single Correct|26 Videos

  • ROTATION

    DC PANDEY|Exercise (C) Chapter Exercises|39 Videos

  • ROTATIONAL MOTION

    DC PANDEY|Exercise Integer Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

A tennis ball, starting from rest, rolls down the hill in the drawing. At the end of the hill the ball becomes airborne, leaving at an angle of 37^(@) with respect to the ground treat the ball as a thin-walled spherical shell. Q. Range x of the ball is

A tennis ball, starting from rest, rolls down the hill in the drawing. At the end of the hill the ball becomes airborne, leaving at an angle of 37^(@) with respect to the ground treat the ball as a thin-walled spherical shell. Q. Maximum height reached by ball H above ground is

A ball is projected horizontal from the top of a tower with a velocity v_(0) . It will be moving at an angle of 60^(@) with the horizontal after time.

A ball is projected from the ground at angle theta with the horizontal. After 1 s , it is moving at angle 45^@ with the horizontal and after 2 s it is moving horizontally. What is the velocity of projection of the ball ?

A ball was thrown by a boy a at angle 60^(@) with horizontal at height 1 m from ground. Boy B is running in the plane of motion of ball and catches the ball at height 1 m from ground. He finds the ball falling vertically. If the boy is running at a speed 20 km/hr. Then the velocity of projection of ball is-

From the top of a tower 20m high, a ball is thrown horizontally. If the line joining the point of projection to the point where it hits the ground makes an angle of 45^(@) with the horizontal, then the initial velocity of the ball is:

From the the top of a tower 19.6 m high, a ball is thrown horizontally. If the line joining the point of projection to the point where it hits the ground makes an angle of 45^(@) with the horizontal, then the initial velocity of the ball is:-

A ball is thrown horizontally from a cliff such that it strikes the ground after 5s .The line of sight makes an angle 37^(@) with the horizontal.The initial velocity of projection in ms^(-1) is

From the top of a building 80 m high, a ball is thrown horizontally which hits the ground at a distance.The line joining the top of the building to the point where it hits the ground makes an angle of 45^(@) with the ground. Initial velocity of projection of the ball is (g=10 m//s^(2))

A tennis ball is thrown upward at an angle from point A. It follows a parabolic trajectory and hits the ground at point D. At the instant shown, the ball is at point B. Point C represents the highest position of the ball above the ground. While in flight, how do the x and y components of the velocity vector of the ball compare at the points A and D?

DC PANDEY-ROTATIONAL MECHANICS-Level 2 Multiple Correct
  1. Four identical rods each of mass m and length l are joined to form a r...

    Text Solution

    |

  2. A uniform circular righ rolls without slipping on a horizontal surface...

    Text Solution

    |

  3. A cylinder of radius R is to roll without slippoing between two planks...

    Text Solution

    |

  4. A uniform rod of mass m=2kg and length l=0.5m is sliding along two mut...

    Text Solution

    |

  5. A wheel is rolling without slipping on a horizontal plane with velocit...

    Text Solution

    |

  6. A uniform rod of length l and mass 2 m rests on a smooth horizontal ta...

    Text Solution

    |

  7. A non-uniform ball of radius R and radius of gyration about geometric ...

    Text Solution

    |

  8. A hollow spherical ball is given an initial push, up an incline of inc...

    Text Solution

    |

  9. A uniform disc of mass m and radius R rotates about a fixed vertical a...

    Text Solution

    |

  10. The end B of the rod AB which makes angle theta with the floor is bein...

    Text Solution

    |

  11. A uniform rod of mass m and length l is applied pivoted at point O. Th...

    Text Solution

    |

  12. A uniform rod of mass m and length l is applied pivoted at point O. Th...

    Text Solution

    |

  13. A uniform rod of mass m and length l is applied pivoted at point O. Th...

    Text Solution

    |

  14. A uniform rod of mass m and length l is applied pivoted at point O. Th...

    Text Solution

    |

  15. Consider a uniform disc of mass m, radius r rolling without slipping o...

    Text Solution

    |

  16. Consider a uniform disc of mass m, radius r rolling without slipping o...

    Text Solution

    |

  17. Consider a uniform disc of mass m, radius r rolling without slipping o...

    Text Solution

    |

  18. A tennis ball, starting from rest, rolls down the hill in the drawing....

    Text Solution

    |

  19. A tennis ball, starting from rest, rolls down the hill in the drawing....

    Text Solution

    |

  20. A tennis ball, starting from rest, rolls down the hill in the drawing....

    Text Solution

    |