Question

Consider a satellite (mass = 8.40 kg) in a circular orbit about Earth. Calculate the following properties of the satellite given a radius r of its orbit of 3.40×107 m. Find the period, kinetic energy, angular momentum, and speed of the satelite.

Answer #1

Consider a satellite (mass = 6.10 kg) in a circular
orbit about Earth. Calculate the following properties of the
satellite given a radius r of its orbit of
1.40×107m. Its period:
Its kinetic energy:
Its angular momentum:
Its speed:

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 1,470 kg is in circular orbit about Earth.
The radius of the orbit of the satellite is equal to two times the
radius of Earth.
(a)
How far away (in m) is the satellite from the center of
Earth?
_____________ m
(b)
Find the kinetic, potential, and total energies of the
satellite. (Give your answers in joules.)
kinetic energy_________ J
potential energy_________ J
total energy___________ J
please show formulas thank you.

A satellite of mass 350 kg is in a circular orbit around the
Earth at an altitude equal to the Earth's mean radius.
(a) Find the satellite's orbital speed.
m/s
(b) What is the period of its revolution?
min
(c) Calculate the gravitational force acting on it.
N

A satellite of mass 1525 kg is in circular orbit around Earth.
The radius of the orbit of the satellite is equal to 1.5 times the
radius of Earth (RE = 6.378*106 m, ME = 5.98*1024 kg, G =
6.67*10-11 Nm2/kg2). (a) Find the orbital period of the satellite?
(b) Find the orbital (tangential) velocity of the
satellite. (c) Find the total energy of the
satellite?

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...

A satellite is in a circular orbit of radius R about a planet of
mass M.
A) The kinetic energy of the satellite in its orbit is: (more
than one answer may be correct)
1. Directly proportional to R
2. Inversely proportional to R
3. Inversely proportional to M
B) The angular momentum of the satellite in its orbit is: (more
than one answer may be correct)
1. directly proportional to R
2. directly proportional to the square root of...

A 565-kg satellite is in a circular orbit about Earth at a
height above Earth equal to Earth's mean radius.
(a)
Find the satellite's orbital speed.
_____ m/s
(b)
Find the period of its revolution.
_____h
(c)
Find the gravitational force acting on it.
_____N

(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....

A satellite is in a circular orbit around the Earth at an
altitude of 3.32 106 m. (a) Find the period of the orbit. (Hint:
Modify Kepler's third law so it is suitable for objects orbiting
the Earth rather than the Sun. The radius of the Earth is 6.38 106
m, and the mass of the Earth is 5.98 1024 kg.) h (b) Find the speed
of the satellite. km/s (c) Find the acceleration of the satellite.
m/s2 toward the...

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