Question

A satellite of mass m is in an elliptical orbit around the
Earth, which has mass *M _{e}* and radius

Write the expression for the total mechanical energy of the
satellite when it is at point *A*.

Write the expression for the speed of the satellite as it passes
point *B* in its orbit.

As the satellite passes point *A*, a rocket engine on the
satellite is fired so that its orbit is changed to a circular orbit
of radius *a* about the center of the Earth. Write the
expression for the speed of the satellite for this circular
orbit.

Write the expression for the work done by the rocket engine to effect this change.

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 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 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...

A satellite is put into an elliptical orbit around the Earth.
When the satellite is at its perigee, its nearest point to the
Earth, its height above the ground is ℎp=241.0 km,hp=241.0 km, and
it is moving with a speed of ?p=7.850 km/s.vp=7.850 km/s. The
gravitational constant ?G equals 6.67×10−11 m3·kg−1·s−26.67×10−11
m3·kg−1·s−2 and the mass of Earth equals 5.972×1024 kg.5.972×1024
kg.
When the satellite reaches its apogee, at its farthest point
from the Earth, what is its height ℎaha above...

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

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 in a circular orbit around the earth with a radius
1.019 times the mean radius of the earth is hit by an incoming
meteorite. A large fragment (m = 69.0 kg) is ejected in the
backwards direction so that it is stationary with respect to the
earth and falls directly to the ground. Its speed just before it
hits the ground is 367.0 m/s.
a)Find the total work done by gravity on the satellite fragment.
RE 6.37·103 km;...

A satellite is in a circular orbit around the Earth at an
altitude of 1.66 106 m. (a) Find the period of the orbit (in hrs).
(Hint: Modify Kepler's third law: T2 = (4π2/GMS)r3 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.) (b) Find the speed of the satellite (in km/s). (c)
Find the acceleration of...

A satellite is in a circular orbit around the EArth at a
distance equal to twice the radius of the Earth RE, as
measured from the center of the Earth, how does its speed
v relate to the Earth's radius RE, and
the magnitude g of the acceleration due to gravity
on the Earth's surface?
I know that I use the equation F = Gm * ME
/ 2R2.
F = Gm * ME / 2R2, where F = ma...

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