Question

A satellite (mass *m*) is in circular orbit around Earth
(mass *M*) with orbital period *T*. What is the
satellite’s *distance r from the Earth’s center*?

Group of answer choices

Answer #1

Consider a satellite of mass m in a circular orbit of radius r
around the Earth of mass ME and radius RE.
1.
What is the gravitational force (magnitude and direction) on
the satellite from Earth?
2.
If we define g(r) to be the force of gravity on a mass m at a
radial distance r from the center of the Earth, divided by the mass
m, then evaluate the ratio g(r)/g(RE)to see how g varies with
radial distance. If...

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 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 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 of mass m is in an elliptical orbit around the
Earth, which has mass Me and radius
Re. The orbit varies from closest approach of
distance a at point A to maximum distance of
b from the center of the Earth at point B. At
point A, the speed of the satellite is
v0. Assume that the gravitational potential
energy Ug = 0 when masses are an infinite distance
apart. Express your answers in terms of some or...

A satellite is in a circular orbit around the Earth at an
altitude of 3.84 106 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 center of the...

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 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...

A satellite is in a circular orbit around the Earth at an
altitude of 3.78 106 m.(Hint: Solve the parts in reverse order.)
(a) Find the period of the orbit. h (b) Find the speed of the
satellite. (c) Find the acceleration of the satellite. m/s2 toward
the center of the earth

A GPS satellite moves around Earth in a circular orbit with
period 11 h 58 min. Determine the radius of its orbit. Hint: use
the Newton’s 2nd law of motion relating the gravitational force and
the centripetal acceleration of the satellite. Assume the following
is given: Earth’s mass MEarth = 6x10^24 kg, Earth’s radius REarth =
6.378x10^6 m, and the gravitational constant G = 6.67x10^-11
Nm2/kg2.

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