Question a) A satellite of mass m = 3.6kg orbits the Earth 300km ab ove the Earth's surface. How much do es the p otential energy of the satellite change when it is launched from the surface of the Earth to its orbit? b) By assuming the orbit is circular and the satellite is held in its orbit by gravity, show that the p erio d T of the satellite's orbit can b e expressed as (see image) where r is the distance of the satellite from the Earth's centre and g is the acceleration due to gravity. c) Using the mean radius of the Earth of R = 6400km, calculate the tangential speed of the satellite in its orbit. d) If the satellite is launched by ro cket from the Equator, how much do es the kinetic energy of the satellite change when it is placed into this orbit? Do es most of the energy supplied by the ro cket to the satellite go into the satellite's kinetic energy or the p otential energy?
Question a) A satellite of mass m = 3.6kg orbits the Earth 300km ab ove the Earth's surface. How much do es the p otential energy of the satellite change when it is launched from the surface of the Earth to its orbit? b) By assuming the orbit is circular and the satellite is held in its orbit by gravity, show that the p erio d T of the satellite's orbit can b e expressed as (see image) where r is the distance of the satellite from the Earth's centre and g is the acceleration due to gravity. c) Using the mean radius of the Earth of R = 6400km, calculate the tangential speed of the satellite in its orbit. d) If the satellite is launched by ro cket from the Equator, how much do es the kinetic energy of the satellite change when it is placed into this orbit? Do es most of the energy supplied by the ro cket to the satellite go into the satellite's kinetic energy or the p otential energy?
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a) A satellite of mass m = 3.6kg orbits the Earth 300km ab ove the Earth's
surface. How much do es the p otential energy of the satellite change when it is
launched from the surface of the Earth to its orbit?
surface. How much do es the p otential energy of the satellite change when it is
launched from the surface of the Earth to its orbit?
b) By assuming the orbit is circular and the satellite is held in its orbit by
gravity, show that the p erio d T of the satellite's orbit can b e expressed as
(see image)
where r is the distance of the satellite from the Earth's centre and g is the
acceleration due to gravity.
c) Using the mean radius of the Earth of R = 6400km, calculate the tangential
speed of the satellite in its orbit.
d) If the satellite is launched by ro cket from the Equator, how much do es the
kinetic energy of the satellite change when it is placed into this orbit? Do es
most of the energy supplied by the ro cket to the satellite go into the satellite's
kinetic energy or the p otential energy?
kinetic energy of the satellite change when it is placed into this orbit? Do es
most of the energy supplied by the ro cket to the satellite go into the satellite's
kinetic energy or the p otential energy?
Transcribed Image Text:T= 2π,
T
g
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