Home
Class 11
PHYSICS
A body is fired with a velocity of magni...

A body is fired with a velocity of magnitude `sqrt(gR)ltVltsqrt(2gR)` at an angle of `30^@` with the radius vector of the earth. If at the highest point, the speed of the body is `V//4`, the maximum height attained by the body is equal to

A

`(V^(2))/(8g)`

B

`R`

C

`sqrt(2)R`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Conservation of angular momentum of the body about `O` yield the following
`(mvsin 30^@)R=nV'(R+h)`
`V/2R=V/4(R+h)[:.V'=V/4]`
Therefore `h=R`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    CENGAGE PHYSICS|Exercise Multiple Correct|24 Videos

  • GRAVITATION

    CENGAGE PHYSICS|Exercise Assertion- Reasoning|13 Videos

  • GRAVITATION

    CENGAGE PHYSICS|Exercise Subjective|15 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Integer|9 Videos

Similar Questions

Explore conceptually related problems

A body is fired with a velocity of magnitude sqrt(gR) lt Vsqrt(2gR) at an angle of 30^(@) with the radius vector of earth. If at the highest point the speed of the body is V//4 , the maximum height attained by the body is equal to:

If a body is thrown up with the velocity of 15 m/s then maximum height attained by the body is (g = 10m//s)

A body is projected with a velocity of 30 ms^(-1) at an angle of 30^(@) with the vertical. Find the maximum height, time of flight and the horizontal range.

A body is projected at an angle of 30^(@) with the horizontal with momentum P .At its highest point the magnitude of the momentum is:

A body is throw vertically upward with a velocity of 9.8 m/s. Calculate the maximum height attained by the body.

A particle is projected vertically upwards with a velocity sqrt(gR) , where R denotes the radius of the earth and g the acceleration due to gravity on the surface of the earth. Then the maximum height ascended by the particle is

A body is projected at angle of 45^(@) to the horizontal . What is its velocity at the highest point ?

If the velocity of centre of mass of a rolling body is V then velocity of highest point of that body is

Two bodies are thrown with the same velocity at angles alpha and 90^@-alpha to the horizontal.Calculate the ratio of the maximum heights reached by the bodies.

CENGAGE PHYSICS-GRAVITATION-Single Correct
  1. The radii of two planets are respectively R(1) and R(2) and their dens...

    Text Solution

    |

  2. Figure shows the motion of a planet around the Sun S in an elliptical ...

    Text Solution

    |

  3. A body is fired with a velocity of magnitude sqrt(gR)ltVltsqrt(2gR) at...

    Text Solution

    |

  4. A system of binary stars of mass m(A) and m(B) are moving in circular ...

    Text Solution

    |

  5. Two spherical bodies of mass M and 5M & radii R & 2R respectively are ...

    Text Solution

    |

  6. The change in the value of 'g' at a height 'h' above the surface of th...

    Text Solution

    |

  7. A particle of mass 10g is kept on the surface of a uniform sphere of ...

    Text Solution

    |

  8. A tunnel is dug along the diameter of the earth. There is particle of ...

    Text Solution

    |

  9. A cavity of radius R//2 is made inside a solid sphere of radius R. The...

    Text Solution

    |

  10. A satellite is seen after every 8 hours over the equator at a place on...

    Text Solution

    |

  11. Four particles, each of mass M and equidistant from each other, move a...

    Text Solution

    |

  12. The gravitational potential of two homogenous spherical shells A and B...

    Text Solution

    |

  13. A point P lies on the axis of a fixed ring of mass M and radius a, at ...

    Text Solution

    |

  14. The percentage change in the acceleration of the earth towards the Sun...

    Text Solution

    |

  15. A comet is in highly elliptical orbit around the Sun. The period of th...

    Text Solution

    |

  16. Imagine that you are in a spacecraft orbiting around the earth in a ci...

    Text Solution

    |

  17. A satellite of mass m is in an elliptical orbit around the earth. The ...

    Text Solution

    |

  18. Two rings having masses M and 2M respectively, having the same radius ...

    Text Solution

    |

  19. A point mass m is released from rest at a distance of 3R from the cent...

    Text Solution

    |

  20. A body is thrown from the surface of the earth with velocity (gR(e))//...

    Text Solution

    |