Home
Class 11
MATHS
The first artificial satellite to orbit ...

The first artificial satellite to orbit the earth was Sputnik I. Its highest point above earth’s surface was 947 km, and its lowest point was 228 km. The center of the earth was at one focus of the elliptical orbit. The radius of the earth is 6378 km. Find the eccentricity of the orbit.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The radius of the earth is 6400 km. Its capacitance in microfarad is…………….

Radius of the earth is 6400 km. Determine its capacitance in muF .

An artificial satellite revolves around the earth in a circular orbit and is at a height of 300 km above the surface of the earth. Find the orbital speed and the time period of the satellite. The radius of the earth=6400 km, g=980 cm*s^(-2) .

Find the percentage decreases in weight of a body, when taken 16 km below the surface of the earth. Take radius of the earth as 6400 km.

An artificial satellite is moving in an orbit around the earth with a velocity equal to one-third the escape velocity from the surface of the earth. (i) Find the height of the satellite from the surface of the earth.

A satellite of mass m is revolving around the earth at a height x above the surface of the earth. The radius of the earth is R. If the acceleration due to gravity is g, the orbital speed of the satellite will be

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equation of pair of tangents drawn from point (4, 3) to the h...

    Text Solution

    |

  2. For an ellipse x^2/9+y^2/4=1 with vertices A and A', tangent drawn at ...

    Text Solution

    |

  3. The first artificial satellite to orbit the earth was Sputnik I. It...

    Text Solution

    |

  4. Which of the following can be slope of tangent to the hyperbola 4x^2-y...

    Text Solution

    |

  5. A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x...

    Text Solution

    |

  6. Tangents are drawm to the hyperbola 3x^(2)-2y^(2)=25 from the point (0...

    Text Solution

    |

  7. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

    Text Solution

    |

  8. From the centre C of the hyperbola (x^(2))/(16)-(y^(2))/(9)=1, perpend...

    Text Solution

    |

  9. Find the common tangent to 9x^(2)-16y^(2)=144 and x^(2)+y^(2)=9.

    Text Solution

    |

  10. Find the equations of tangents to the curve 4x^(2)-9y^(2)=1 which are ...

    Text Solution

    |

  11. Find the equation of the locus of the middle points of the chords of ...

    Text Solution

    |

  12. Find the angle between the asymptotes of the hyperbola (x^(2))/(16)-(y...

    Text Solution

    |

  13. If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 ...

    Text Solution

    |

  14. A triangle has its vertices on a rectangular hyperbola. Prove that the...

    Text Solution

    |

  15. From any point on any directrix of the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  16. Find the equations of the asymptotes of the hyperbola 3x^(2)+10xy+8y...

    Text Solution

    |

  17. A tangent is drawn to the ellipse to cut the ellipse x^2/a^2+y^2/b^2=1...

    Text Solution

    |

  18. P Q and R S are two perpendicular chords of the rectangular hyperbola ...

    Text Solution

    |

  19. If tangents to the parabola y^(2)=4ax intersect the hyperbola (x^(2))/...

    Text Solution

    |

  20. The tangent at a point P on an ellipse intersects the major axis at T ...

    Text Solution

    |