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The energy required to take a satelite t...

The energy required to take a satelite to a height h above Earth surface (radius of Earth `=6.4xx10^(3)`km) is `E_(1)` and kinetic energy required for the satellite to be in a circular orbit at this height is `E_(2)`. The value of h (in km) for which `E_(1)` and `E_(2)` are equal is

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To solve the problem, we need to find the height \( h \) above the Earth's surface where the energy required to take a satellite to that height \( E_1 \) is equal to the kinetic energy required for the satellite to be in a circular orbit at that height \( E_2 \). ### Step 1: Calculate \( E_1 \) The gravitational potential energy \( U \) at a height \( h \) above the Earth's surface is given by: \[ U = -\frac{GMm}{R + h} ...
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Energy of a satellite in circular orbit is E_(0) . The energy required to move the satellite to a circular orbit of 3 time the radius of the initial orbit is (x)/(3)E_(0) . Find the value of x.

The ratio of energy required to raise a satellite to a height h above the earth surface to that required to put it into the orbit is

Knowledge Check

  • The energy required to take a satellite to a height ‘h’ above Earth surface (radius of Earth =6.4xx10^3 km ) is E_1 and kinetic energy required for the satellite to be in a circular orbit at this height is E_2 . The value of h for which E_1 and E_2 are equal, is:

    A
    `6.4xx10^3` km
    B
    `1.6xx10^3` km
    C
    `1.28xx10^4` km
    D
    `3.2xx10^3`km
  • The ratio of the energy required to raise a satellite upto a height h above the surface of earth to that the kinetic energy of the satellite into the orbit there is (R=radius of earth)

    A
    h:R
    B
    R:2h
    C
    2h:R
    D
    R:h
  • Let E be the energy required to raise a satellite to height h above earth's surface and E' be the energy required to put the same satellite into orbit at that height. Then E//E' is equal to

    A
    `(2h)/((R+2h))`
    B
    `(2h)/((2R+3h))`
    C
    `(R)/(R+h)`
    D
    `(2R)/(2h+R)`
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