Home
Class 12
MATHS
A particle is projected from point A, th...

A particle is projected from point A, that is at a distance 4R from the centre of the earth, with speed in a direction making `30^@` with the line joining the centre of the earth and point A, as shown.
If particle passes grazing the surface of the earth, then the speed `v_1` in m/s is `10sqrt2P`. Find value of P. Consider gravitational interaction only between these two. (use `(GM)/R=6.4xx10^7 m^2//s^2` )

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN SPACE

    RD SHARMA ENGLISH|Exercise All Questions|159 Videos

  • THE PLANE

    RD SHARMA ENGLISH|Exercise All Questions|305 Videos

Similar Questions

Explore conceptually related problems

A particle is projected from point A , that is at a distance 4R form the centre of the earth, with speed V_(1) in a direction making 30^(@) with the line joining the centre of the earth and point A , as shown. Consider gravitational interaction only between these two. (Use (GM)/R=6.4xx10^(7) m^(2)//s^(2) ). The speed V_(1) if particle pasess grazing the surface of the earth is

A particle is projected from point A , that is at a distance 4R form the centre of the earth, with speed V_(1) in a direction making 30^(@) with the line joining the centre of the earth and point A , as shown. Consider gravitational interaction only between thesetwo. (Use (GM)/R=6.4xx10^(7) m^(2)//s^(2) ). The speed V_(1) if particle pasess grazing the surface of the earth is

The magnitude of gravitational potential energy of a body at a distance r from the centre of earth is u. Its weight at a distance 2r from the centre of earth is

A body at rest starts from a point at a distance r (gtR) from the centre of the Earth. If M and R stand for the speed of the body when it reaches the Earth surface is

A particle is projected vertically with speed V from the surface of the earth . Maximum height attained by the particle , in term of the radius of earth R,V and g is ( V lt escape velocity , g is the acceleration due to gravity on the surface of the earth )

A body is released from a point of distance R' from the centre of earth. Its velocity at the time of striking the earth will be (R’gtR_(e))

A satellite A of mass m is at a distance of r from the centre of the earth. Another satellite B of mass 2m is at distance of 2r from the earth's centre. Their time periode are in the ratio of

The distances from the centre of the earth, where the weight of a body is zero and one-fourth that of the weight of the body on the surface of the earth are (assume R is the radius of the earth)

The distance of the centres of moon the earth is D. The mass of earth is 81 times the mass of the moon. At what distance from the centre of the earth, the gravitational force on a particle will be zero.

The gravitational potential energy of a body at a distance r from the centre of earth is U . Its weight at a distance 2r from the centre of earth is

RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. Show the condition that the curves a x^2+b y^2=1 and a^(prime)\ x^2+...

    Text Solution

    |

  2. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

    Text Solution

    |

  3. A particle is projected from point A, that is at a distance 4R from th...

    Text Solution

    |

  4. Find the angle of intersection of the curves y^2=xandx^2=y

    Text Solution

    |

  5. Find the angle of intersection of curve y=x^2 and x^2+y^2=20

    Text Solution

    |

  6. Find the angle of intersection of curve 2y^2=x^3 and y^2=32 x

    Text Solution

    |

  7. Find the angle of intersection of curve x^2+y^2-4x-1=0 and x^2+y^2-...

    Text Solution

    |

  8. Find the angle of intersection of curve (x^2)/(a^2)+(y^2)/(b^2)=1 a...

    Text Solution

    |

  9. Find the angle of intersection of curve x^2+4y^2=8 and x^2-2y^2=2

    Text Solution

    |

  10. Find the angle of intersection of curve x^2=27 y and y^2=8x

    Text Solution

    |

  11. Find the angle of intersection of curve x^2+y^2=2x and y^2=x

    Text Solution

    |

  12. Find the angle of intersection of curve y=4-x^2 and y=x^2

    Text Solution

    |

  13. Show that y=x^3 and 6y=7-x^2 intersect orthogonally:

    Text Solution

    |

  14. Show that x^3-3x y^2=(-2) and 3x^2\ y-y^3=2 intersect orthogonally.

    Text Solution

    |

  15. Show that x^2+4y^2=8 and x^2-2y^2=4 intersect orthogonally

    Text Solution

    |

  16. Show that x^2=4y and 4y+x^2=8 intersect orthogonally at (2,\ 1)

    Text Solution

    |

  17. Show that x^2=y and x^3+6y=7 intersect orthogonally at (1,\ 1)

    Text Solution

    |

  18. Show that y^2=8x and 2x^2+y^2=10 at (1,\ 2sqrt(2))

    Text Solution

    |

  19. Show that the curves 4x=y^2 and 4x y=k cut at right angles, if k^2=...

    Text Solution

    |

  20. Show that the curves 2x=y^2 and 2x y=k cut at right angles, if k^2=...

    Text Solution

    |