Answers
Answer:
(1) The relationship between the altitude height, 'h', and the orbital speed, [tex]v_{orbit}[/tex], of the satellite is an inverse relationship
[tex]v_{orbit}[/tex] = 1/(h + R)
(2) The height of the satellite, is approximately 24,442 meters
(3) Please find attached the drawing showing the two lines that indicate the direction of the gravitational force on the satellites created with Microsoft Visio
Explanation:
(1) From the given data table, as the altitude increases, the orbital velocity decreases, therefore, the relationship between altitude, 'h', and orbital velocity, '[tex]v_{orbit}[/tex]', is an inverse relationship which can be expressed as follows;
[tex]v_{orbit} = \sqrt{\dfrac{G \cdot M}{r} }[/tex]
Where;
G = The universal gravitational constant
M = The mass of the Earth, or planet about which the satellite orbits
r = The distance between the center of the planet and the satellite = h + R
R = The radius of the planet
When [tex]v_{orbit}[/tex] = 27,500, h = r - R = 1000
We have;
[tex]v_{orbit}[/tex]² ∝ 1/r
[tex]v_{orbit}[/tex]² = k/r = k/(R+ h)
When, [tex]v_{orbit}[/tex]² = 27,500² = 756,250,000
r = h + R = 1000 + R
∴ 756,250,000 = k/(1000 + R)
(1,000 + R) × 756,250,000 = k
When, [tex]v_{orbit}[/tex]² = 18,000² = 324,000,000
r = h + R = 10,000 + R
∴ 324,000,000 = k/(10,000 + R)
324,000,000 = ((1,000 + R) × 756,250,000)/(10,000 + R)
∴ 324,000,000×(10,000 + R) = (1,000 + R) × 756,250,000
R × (756,250,000 - 324,000,000) = 324,000,000×10,000 - 1,000 × 756,250,000
R = (324,000,000×10,000 - 1,000 × 756,250,000)/(756,250,000 - 324,000,000) = 5746.09600925
R = 5,746.09600925
k = (1,000 + R) × 756,250,000 = (1,000 + 5,746.09600925) × 756,250,000 = 5.1017351 × 10¹²
k = 5.1017351 × 10¹²
(2) When, [tex]v_{orbit}[/tex] = 13,000 m/s, we have;
13,000² = 5.1017351 × 10¹²/(5,746.09600925 + h)
∴ 5,746.09600925 + h = 5.1017351 × 10^(12)/(13,000²) = 30187.7816568
h = 30187.7816568 - 5,746.09600925 = 24,441.6856476
The height of the satellite, h ≈ 24,442 meters
(3) Please find attached the drawing showing the two lines indicating the direction of the force of gravity exerts on the satellites created with Microsoft Visio.
Related Questions
What are five facts about magnets? Please help me
Answers
Over 80% of all households in the US have magnets on their refrigerator.
If you attach a bar magnet to a piece of wood and float it in a bowl of water, it will slowly turn in the water until the magnet’s North Pole points towards the Earth’s North Pole. Temporary magnets will do the same thing.
A magnet always has north and south poles. Cutting a magnet in half makes two magnets, each with two poles.
Magnets can be found in many common household items such as telephones, computers, stereos, refrigerators, TV’s and VCR’s.
Breakfast cereal often contains iron. Some cereals contain enough iron that it’s pieces are attracted to a magnet.
Marina walked 2km in half an hour, what was her average speed during her walk?
Answers
Answer:
4km/hr
Explanation:
A horizontal pole is attached to the side of a building. There is a pivot P at the wall and a chain is connected from the end of the pole to a point higher up the wall. There is a tension force F in the chain. What is the moment of the force F about the pivot P?
Answers
Answer:
Fscos63
Explanation:
Given that a horizontal pole is attached to the side of a building. There is a pivot P at the wall and a chain is connected from the end of the pole to a point higher up the wall. There is a tension force F in the chain. What is the moment of the force F about the pivot P?
Taking the moment from the pivot point P, that means the moment at point p = 0
Then, if we consider the weight mg of the pole, according to the principle of equilibrium : sum of the upward forces equal to the sum of the downward forces.
Therefore, mg = Fsinø ....... (1)
Also, taking moment at point P
Let the length of the pole = s
The length of the weight of the pole = 1/2 S
Fscosø = mgs/2
The distance s will cancel out
2Fcosø = mg ...... (3)
Substitute mg in equation 1 into equation 3
2fcosø = fsinø
F will cancel out
Tanø = 2
Ø = tan^-1(2)
Ø = 63.4 degree
The moment of force F about pivot point P will be
Moment = force × distance
Moment = Fcos63 × S
Moment = Fscos63
How many protons will every atom of Carbon (C) have?
14
12
13
6
Answers
Answer:
6 protons
Explanation:
A bucket is filled partly with water such that its combined mass is 2.5 kg. It is tied to a rope and whirled in a circle with a radius of 1.4 m. The speed at the top of the circle is 4.0 m/s and the speed at the bottom of the circle is 6.0 m/s. Determine the magnitude of the net force acting on the bucket at the bottom of the circle.
Answers
Answer:
1. Simply τ = m x g x r = 54kg x 9.8m/s² x 0.050m = 26 N·m
2. The bucket creates a torque
τ = 75kg x 9.8m/s² x 0.075m = 55 N·m,
so we must create the same torque with the handle.
55 N·m = F x 0.25m
F = 220 N
Explanation:
Hope this is helpful
Write a message to Mr. Chang explaining why the groundwater heating system will warm the school more than the water heater system. Use evidence to support your claim. For each piece of evidence you use, explain how the evidence supports your claim.
Answers
Answer:
For, heating purposes more the quantity of water more will be the heating. Clearly, underground heating would have more water and hence, it will have edge over the water heater system.
Moreover, for things at the same temperature, the thing with more molecules has more total kinetic energy (thermal energy) than the thing with fewer molecules. The groundwater heating system uses heat from the heat stored naturally in groundwater or aquifers. Thus, saving the cost of power required to heat in normal water heater.
Explanation:
The groundwater heating system will warm the school more than the water heater system due to the fact that it uses more water more than the other system.
Based on the complete question, it should be noted that the addition of energy leads to an increase in motion which results in the rise in temperature.
The groundwater heating system will warm the school more than the water heater system due to the fact that it uses more water more than the other system even though its water isn't as warm as in the other system.
Read related link on:
https://brainly.com/question/20116115
ANSWER QUICK 30 POINTS
What force controls the movement of the planets around the sun, holds together stars grouped in galaxies, and galaxies grouped in clusters? Thoroughly explain your answer, making sure to include an example and describe how this force keeps planets in orbit. Make sure to write at least 3-5 sentences and proper conventions (spelling, grammar, punctuation, etc.) to respond. Put all answers in your own words
Answers
Answer:
Gravity controls the movement of the planets around the sun, holds together stars grouped in galaxies, and galaxies grouped in clusters. The Universal Law of Gravitation depends on two things. First it depends on mass of each object and the second factor is the distance between two objects. If the mass of one object is Larger, the gravitational pull towards it will be larger and the smaller distance, the larger the gravitational pull will be between the objects. Therefore the Larger planets have more moon and the inner planets have less.
Explanation:
Please help me answer this i really need help!!!
Answers
At the height of 800 meters, a skydiver falls from an airplane flying horizontally at 40 m/sec. What is the horizontal distance of the skydivers travel before they "hit" the ground?
Answers
Answer:
The horizontal distance traveled by the skydiver is 510.8 m.
Explanation:
Given;
height of fall, h = 800 m
initial velocity of the airplane, u = 40 m/s
The time to fall to the ground is calculated as;
[tex]t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2 \times 800}{9.81} }\\\\t = 12.77 \ s[/tex]
The horizontal distance or range of the motion is calculated as;
R = ut
R = 40 m/s x 12.77 s
R = 510.8 m
Therefore, the horizontal distance traveled by the skydiver is 510.8 m.
plz help asap
Which of the following techniques would be used to treat a disease based on the humoral theory?
perform a surgery
administer an enema
prescribe an antibiotic
administer a vaccine
The theory of plate tectonics explains the cause of which natural occurrence?
avalanches
floods
earthquakes
eruptions
Answers
Answer:
Given the body part: They would administer a vaccine Plate tectonics: It describes earthquakesHow much work is done if a force of 20 N is used to move an object 6 meters
Answers
Explanation:
W=f×d
=20×6
w=120 joule
On Earth, a spring stretches by 5.0 cm when a mass of 3.0 kg is suspended from one end.
The gravitational field strength on the Moon is
1/6 of that on Earth.
Which mass, on the Moon, would stretch the spring by the same extension?
Reasons too :(
igcse physics
Answers
Answer:
Mass = 18.0 kg
Explanation:
From Hooke's law,
F = ke
where: F is the force, k is the spring constant and e is the extension.
But, F = mg
So that,
mg = ke
On the Earth, let the gravitational force be 10 m/[tex]s^{2}[/tex].
3.0 x 10 = k x 5.0
30 = 5k
⇒ k = [tex]\frac{30}{5}[/tex] ................ 1
On the Moon, the gravitational force is [tex]\frac{1}{6}[/tex] of that on the Earth.
m x [tex]\frac{10}{6}[/tex] = k x 5.0
[tex]\frac{10m}{6}[/tex] = 5k
⇒ k = [tex]\frac{10m}{30}[/tex] ............. 2
Equating 1 and 2, we have;
[tex]\frac{30}{5}[/tex] = [tex]\frac{10m}{30}[/tex]
m = [tex]\frac{900}{50}[/tex]
= 18.0
m = 18.0 kg
The mass required to produce the same extension on the Moon is 18 kg.
Answer:
18 kg
Explanation:
weight (N) = mass (kg) × gravitational acceleration (m/s²)force (N) = k (spring constant) × extension (m)On Earth, acceleration of gravity is 10 m/s²
weight = 3.0 (kg) × 10 (m/s²)weight = 30 (N)Since weight is a force, the force is 30 N. The value of spring constant is unknown
30 (N) = k × 5 (m)k = 6 (m/N)Spring constant is 6. Now let's find the mass on the Moon
mass (kg) × gravitational acceleration (m/s²) = k (spring constant) × extension (m)Gravitational acceleration of the moon is 1/6 of that on Earth. Earth's g = 10, so Moon's g = 10/6
m × 10/6 = 6 × 5m = 30/(10/6)m = 18The mass is 18 kg
A 200 kg object is initially at rest on a horizontal frictionless surface. At time t = 0 , a horizontal force of 100 N applied to the object for and then removed. Which of the following is correct about object's motion at time t=2 s?
(A) It is at rest.
(B) It is moving with decreasing acceleration.
(C) it is moving with decreasing speed.
(D)it moving at a constant speed.
(E) It is moving with increasing speed
Answers
Answer:
b
Explanation:
The work done by a machine is always less then the work done on a
machine because of
Answers
Answer:
because of Friction is always present.
A device that makes energy easier is a machine. true or false
Answers
Answer:
trueeeeeeeeeeeeeeeeee
which unit would be most
suitable for its scale?
Answers
Answer:
down below
Explanation:
for a scale, kg is used, as well as grams
for force, newtons is used
Pls help me with this problem!!
Answers
Answer:
v = 19.6 m/s.
Explanation:
Given that,
The radius of the circle, r = 5 m
The time period of the ball, T = 1.6s
We need to find the ball's tangential velocity.
The formula for the tangential velocity is given by :
[tex]v=\dfrac{2\pi r}{T}[/tex]
Putting all the values in the above formula
[tex]v=\dfrac{2\pi \times 5}{1.6}\\\\v=19.6\ m/s[/tex]
So, the tangential velocity of the ball is 19.6 m/s. Hence, the correct option is (c).
PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELPPPPPPPPPPPPPPPPP
Answers
Answer:
endoplasmic reticulum
Se necesita subir una carga de 500 kg (4900 N) a una altura de 1.5 m deslizándola sobre una rampa inclinada. ¿Qué longitud debe tener la rampa si sólo se puede aplicar una fuerza de 1633.33 N?
Answers
Answer:
4.22 m
Explanation:
Una rampa es una máquina que se utiliza para levantar un objeto con una fuerza menor a la que realmente necesitarías. Cuanto mayor sea la longitud de la rampa, menor será la magnitud de la fuerza necesaria para levantar el objeto.
Dado que:
altura de la rampa = 1.5 m, carga = 4900 N, fuerza aplicada = 1633.33 N.
La fórmula de la rampa se da como:
fuerza aplicada * longitud de la rampa = peso de la carga * altura de la rampa
1633.33 * longitud de la rampa = 4900 * 1.5
longitud de la rampa = 4900 * 1.5 / 1633.33
longitud de la rampa = 4.22 m
If the boy travelled 2 meters to the right and 4 meters to the left what is the total distance that he travelled?
4 m
-4 m
6 m
2 m
Answers
Answer:
6m
Explanation:
2+4=6
what is projectile. what is projectile motion
Answers
The projectile is any object thrown into space upon which the only acting force is gravity. In other words, the primary force acting on a projectile is gravity. This doesn’t necessarily mean that the other forces do not act on it, just that their effect is minimal compared to gravity. The path followed by a projectile is known as a trajectory. A baseball batted or thrown and the instant the bullet exits the barrel of a gun are all examples of the projectile.
Projectile Motion:When a particle is thrown obliquely near the earth’s surface, it moves along a curved path under constant acceleration that is directed towards the center of the earth (we assume that the particle remains close to the surface of the earth). The path of such a particle is called a projectile and the motion is called projectile motion. Air resistance to the motion of the body is to be assumed absent in projectile motion.
In a Projectile Motion, there are two simultaneous independent rectilinear motions:
Along the x-axis: uniform velocity, responsible for the horizontal (forward) motion of the particle.
Along y-axis: uniform acceleration, responsible for the vertical (downwards) motion of the particle.
Accelerations in the horizontal projectile motion and vertical projectile motion of a particle: When a particle is projected in the air with some speed, the only force acting on it during its time in the air is the acceleration due to gravity (g). This acceleration acts vertically downward. There is no acceleration in the horizontal direction, which means that the velocity of the particle in the horizontal direction remains constant.
[tex]\sf~~~~~~~~~~~~~~~{\red{\underbrace{\underline{\green{projectile~motion}}}}}[/tex]
Projectile motion is a form of motion in which object or particle is thrown near earth's surface and it moves along a curved path under the action of gravity only.
Compare between Convex lens and concave lens
Answers
Answer:
A convex lens or converging lens focuses the light rays to a specific point whereas a concave lens or diverging lens diverges the light rays. When these lenses are combined, they produce sharper images. Most of the eyeglass lenses use combinations of convex and concave lenses.
What can always be said about a negatively-charged ion?
A negatively-charged ion always has more neutrons than protons
A negatively-charged ion always has more electrons than protons
A negatively-charged ion always has more protons than electrons
A negatively-charged ion always has more protons than neutrons
Answers
Answer: A negatively-charged ion always has more electrons than protons
Explanation:
First, we know that the elementary negative charge is the electron, while the positive one is the proton. Such that both have the same charge in magnitude, but a different sign. Such that if we have the same number of electrons and protons in an atom, the charge of this atom will be neutral.
And an ion is an atom with a different number of electrons and protons, so the charge of the atom is not neutral.
Then if we have a negatively-charged ion, the charge of this atom is negative. Then we must have a larger number of electrons (the negative ones) than protons (the positive ones)
Then the correct option is:
A negatively-charged ion always has more electrons than protons
a persons eardrum has an area of 0.000200 m^2. How much force does the outside air at 1.00 atm exert on the eardrum
Answers
Answer:
20.3N
Explanation:
Given parameters:
Area of the eardrum = 0.0002m²
Pressure on the eardrum = 1atm = 101325Nm⁻²
Unknown:
Force exerted on the eardrum = ?
Solution:
Pressure is the force per unit area impacted on a body.
Pressure = [tex]\frac{Force }{area}[/tex]
Force = Pressure x area
Now insert the parameters and solve;
Force = 101325Nm⁻² x 0.0002m² = 20.3N
In the diagram shown above, the circles represent small balls that have
electric charges. Ball 1 has a negative charge, and ball 2 is repelled by ball 1
Next, you see that ball 2 repels ball 3 and that ball 3 attracts ball 4. What is
the electric charge on ball 4?
Ball 4 may have either a positive or negative charge,
Ball 4 has a negative charge.
Ball 4 has a positive charge.
Answers
Answer:
ball 4 has a positve charge
Explanation:
-Ball 2: is negative because it is repelled by ball one (like signs repel)
- ball 3: is also negative because it is repelled by ball one (like signs repel)
- Ball 4: is positive because it is attracted by ball 3 (opposite signes attract)
what are the three laws of motion and examples
Answers
Explanation:
In Newton's 1 law, an object will not change its motion unless a force acts on it.
The motion of a ball falling down through the atmosphere, or a model rocket being launched up into the atmosphere are both examples of Newton's first law.
In Newton's 2 law, the force on an object is equal to its mass times its acceleration.
Riding your bicycle is a good example of this law of motion at work. ... Your leg muscles pushing pushing on the pedals of your bicycle is the force. When you push on the pedals, your bicycle accelerates.
In Newton's 3 law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.
For example, when you jump, your legs apply a force to the ground, and the ground applies and equal and opposite reaction force that propels you into the air.
PLEASE ANSWER ILL GIVE BRAIN!!!
Answers
Answer:
what's the question?........
The density of molten lava increases as the lava cools and hardens. Give other examples of natural change in density
Answers
Answer:
When the water is frozen it turns to ice and the density decreases.
Explanation:
Have A Wonderful Day !!
How much energy is required to completely boil away 225 kg of water?
Hv = 226,000 J/kg
Hf = 334,000 J/kg
Answers
Answer:
E = 50850[kJ]
Explanation:
To boil the water we must use the latent heat of vaporization. Also we need to multiply this value by the mass of the water.
[tex]E=m*H_{v}[/tex]
Where:
E = energy produced by heat [J]
m = mass = 225 [kg]
Hv = 226000 [J/kg]
[tex]E = 225*226000\\E = 50850000 [J]\\E=50850[kJ][/tex]
A car traveled 1,215 km West from El Paso to Dallas in 13.5 hours. What was its velocity? A: 90 m/s west B. 90km/h C. .09km/h West D. 90km/h West
Answers
Answer:
B. 90km/hr
Explanation:
The formula for finding velocity =
Displacement/time
The displacement of the car has been given to be = 1215 km West
Time it took to go from Dallas to Paso = 13.5 hours
Then velocity = 1215/13.5
= 90
Therefore velocity = 90km/hour
Option B is the correct answer to this question.
Thank you!