Question

Two identical earth satellites, A and B, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 5290 km. Satellite B is to orbit at an altitude of 22500 km. The radius of Earth is 6400 km.

a) What is the ratio of the mechanical energy of satellite A to that of satellite B, in orbit?

b)What is the ratio of the angular speed of satellite B to that of satellite A, in orbit?

c) What is the ratio of (magnitude of) angular momentum of satellite A to that of satellite B, in orbit?

Answer #1

Two
Earth satellites, A and B, each of mass m, are to be launched into
circular orbits about Earth's center. Satellite A is to orbit at an
altitude of 5230 km. Satellite B is to orbit at an altitude of
24400 km. The radius of Earth REis 6370 km. (a) What is the ratio
of the potential energy of satellite B to that of satellite A, in
orbit? (b) What is the ratio of the kinetic energy of satellite B...

Two satellites are in circular orbits around the earth. The
orbit for satellite A is at a height of 406 km above the earth's
surface, while that for satellite B is at a height of 904 km. Find
the orbital speed for satellite A and satellite B.

Two satellites are in circular orbits around the earth. The
orbit for satellite A is at a height of 556 km above the earth’s
surface, while that for satellite B is at a height of 888 km. Find
the orbital speed for (a) satellite A and
(b) satellite B.

A satellite orbits the Earth uniformly in a circular orbit with
a velocity of magnitude 4.00 km/s. Use Newton's gravitation force
as the force in Newton's Law of Acceleration, using also the
centripetal acceleration . Solve for radius r of the satellite's
orbit in terms of v . (a) Find then the altitude of the satellite
above the surface of the Earth. Earth's mass and radius are 5.9810
kg and 6.3810 km. (b) Find the time it takes the satellite...

(a) What is the speed of a 231 kg satellite in an approximately
circular orbit 646 km above the surface of Earth?
b) What is the period? min Suppose the satellite loses
mechanical energy at the average rate of 2.0 ✕ 105 J per orbital
revolution. Adopt the reasonable approximation that the trajectory
is a "circle of slowly diminishing radius".
c) Determine the satellite's altitude at the end of its 1700th
revolution. m
d) Determine its speed at this time....

1. A satellite is in a circular orbit about the earth (ME = 5.98
x 1024 kg). The period of the satellite is 2.35 x 104 s. What is
the speed at which the satellite travels?
2. Two satellites are in circular orbits around the earth. The
orbit for satellite A is at a height of 545 km above the earth’s
surface, while that for satellite B is at a height of 787 km. Find
the orbital speed for (a)...

A satellite of mass 5520 kg orbits the Earth and has a period of
6700 s . A) Determine the radius of its circular orbit. B)
Determine the magnitude of the Earth's gravitational force on the
satellite. C) Determine the altitude of the satellite.

A satellite of mass 5490 kg orbits the Earth and has a period of
6660 s . a) Determine the radius of its circular orbit. b)
Determine the magnitude of the Earth's gravitational force on the
satellite c) Determine the altitude of the satellite.

A spacecraft of 150 kg mass is in a circular orbit about the
Earth at a height h = 5RE.
(a) What is the period of the spacecraft's orbit about the
Earth?
T = answer in hours
(b) What is the spacecraft's kinetic energy?
K = Units in J
(c) Express the angular momentum L of the spacecraft about
the center of the Earth in terms of its kinetic energy K.
(Use the following as necessary: RE for the
radius...

A satellite of mass m = 2.00 ×103 kg is launched into a
circular orbit of orbital period T = 4.00 hours. Newton's
gravitational constant is G = 6.67 ×10−11 N∙m2/kg2, and
the mass and radius of the Earth are respectively M⨁ =
5.97 ×1024 kg and r⨁ = 6.37 ×106 m. Answer the following
questions.
What is the total mechanical energy (kinetic energy + potential
energy) of the satellite in orbit? Take the gravitational potential
energy of the satellite...

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