Question
In: Physics
A satellite is placed in an elongated elliptical (not circular) orbit around the Earth. At the...
A satellite is placed in an elongated elliptical (not circular) orbit around the Earth. At the point in its orbit where it is closest to the Earth, it is a distance of 1.00 × 10^6 m from the surface (not the center) of the Earth, and is moving at a velocity of 5.14 km/s. At the point in its orbit when it is furthest from the Earth it is a distance of 2.00×10^6 m from the surface of the Earth. (Note that the Earth has a mass of 5.97×1024 kg and a radius of 6.37×106 m. )
(a) How fast is the satellite moving when it is at its furthest point from the Earth?
(b) If, at the closest approach to the Earth, the satellite could be deflected so that it had the same velocity as before, but was now traveling directly away from the Earth, how far from the surface of the Earth would it get before it stopped, and then started to fall back to the Earth?
Solutions
genius_generous answered 1 year agoRelated Solutions
A satellite is put into an elliptical orbit around the Earth. When the satellite is at...
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=215.0 km,hp=215.0 km, and
it is moving with a speed of vp=8.450 km/s.vp=8.450 km/s. The
gravitational constant GG 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 is put into an elliptical orbit around the Earth. When the satellite is at...
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=215.0 km, and it is moving
with a speed of ?p=8.850 km/s. The gravitational constant ? equals
6.67×10−11 m3·kg−1·s−2 and the mass of Earth equals 5.972×1024 kg.
When the satellite reaches its apogee, at its farthest point from
the Earth, what is its height ℎa above the ground? For this...
A satellite is put into an elliptical orbit around the Earth. When the satellite is at...
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=215.0 km,hp=215.0 km, and
it is moving with a speed of vp=8.450 km/s.vp=8.450 km/s. The
gravitational constant GG 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 is in an elliptical orbit around the earth. The distance from the satellite to...
A satellite is in an elliptical orbit around the earth. The
distance from the satellite to the center of the earth ranges from
7.2 Mm at perigee (where the speed is 8.0 km/s) to 9.9 Mm at
apogee.
1. Assume the initial conditions are x = 0, y = 7.2 × 106 m, vx
= 8.0×103 m/s, and vy = 0. Use python program to print its speed,
distance from the earth, kinetic energy, potential energy, and
total mechanical energy...
Two satellites are in circular orbits around the earth. The orbit for satellite A is at...
Two satellites are in circular orbits around the earth. The
orbit for satellite A is at a height of 555 km above the earth’s
surface, while that for satellite B is at a height of 778 km. Find
the orbital speed for (a) satellite A and (b) satellite B.
Two satellites are in circular orbits around the earth. The orbit for satellite A is at...
Two satellites are in circular orbits around the earth. The
orbit for satellite A is at a height of 458 km above the earth’s
surface, while that for satellite B is at a height of 732 km. Find
the orbital speed for (a) satellite A and
(b) satellite B.
A geostationary satellite is in a circular orbit around the Earth. What is the linear speed...
A geostationary satellite is in a circular orbit around the
Earth. What is the linear speed of the satellite?
A satellite in a circular orbit around the earth with a radius 1.011 times the mean...
A satellite in a circular orbit around the earth with a radius
1.011 times the mean radius of the earth is hit by an incoming
meteorite. A large fragment (m = 81.0 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 361.0 m/s. Find the total work done by gravity
on the satellite fragment. RE 6.37·103 km;...
A satellite in a circular orbit around the earth with a radius 1.011 times the mean...
A satellite in a circular orbit around the earth with a radius
1.011 times the mean radius of the earth is hit by an incoming
meteorite. A large fragment (m = 75.0 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 359.0 m/s.
Find the total work done by gravity on the satellite fragment.
RE 6.37
A satellite of mass 1,500 kg is placed in a circular Earth orbit at a height,...
A satellite of mass 1,500 kg is placed in a circular Earth orbit
at a height, h, above the surface. It is launched from Treasure
Island in the SF Bay at 37 degrees latitude (north of the equator).
2465.98 10 , 6.37 10EarthEarthMxkgRx==ma) Derive Kepler’s Thrid Law
from Newton’s Universal Law of gravity. b) If the orbital period of
the satellite is 12 hrs, find the distance h above the Earth. c)
What is the minimum energy required to put...
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