an earth satellite moves in a circular orbit with an orbital speed of 6200 m/s draw the fbd for the satellite. find the time for one revolution of the satellite. find the radial acceleration of the satelllite in its orbit
Answers
The time for one revolution is 7.4 ×\(10^{4}\)s and the radial acceleration is 6.55 × \(10^{-4}\)m/s².
M = mass of the earth
v= orbital speed
v = \(\sqrt{\frac{GM}{r} }\) or
r = GM/ v²
Time(t) = 2π \(r^{3/2}\) / GM = 2πGM / v³
t = 2π × 6.67 ×\(10^{-11}\) × 6 ×\(10^{24}\) / ( 6200)³
= 0.007388 × \(10^{-11}\) × \(10 ^{18}\)
= 0.007388 ×\(10^{7}\)
= 7.4 × \(10^{4}\)s
Now we have to find the radial acceleration of the satellite in its orbit.
Radial acceleration (r) = v² / r
= v² / (GM /v²)
= \(v^{4}\)/ GM
= \(6200^{4}\) / 6.67 ×\(10^{-11}\) ×6×\(10^{24}\)
= 6.55 × \(10^{-4}\) m/s²
Therefore the time is 7.4 ×\(10^{4}\)s and radial acceleration is 6.55 ×\(10^{-4}\)m/s².
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Related Questions
On the planet Xenos, an astronaut observes that a 1.00 m long pendulum has a period of 1.50 s. What is the
free-fall acceleration on Xenos?
Answers
Answer:
g=1.77π2xm/s2
Explanation:
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4
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Self-ignition would occur in the engine uing certain brand of petrol if the temperature due to
compreion reached 350°C. Calculate the highet ratio of compreion that may be ued to avoid pre-ignition if the law of
compreion i
Answers
Self-ignition, also known as pre-ignition, occurs in an internal combustion engine when the fuel-air mixture in the combustion chamber ignites before the spark plug fires.
One way to avoid pre-ignition is to limit the compression ratio of the engine, as a higher compression ratio can lead to higher temperatures in the combustion chamber.
The ideal gas law states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
The compression ratio of an engine is the ratio of the volume of the combustion chamber when the piston is at the bottom of its stroke (the "swept volume") to the volume of the combustion chamber when the piston is at the top of its stroke (the "clearance volume").
Given that the temperature at which self-ignition would occur using a certain brand of petrol is 350°C, and assuming that the ideal gas law applies, we can calculate the highest compression ratio that may be used to avoid pre-ignition.
To do this, we need to know the initial temperature and pressure in the combustion chamber, as well as the final temperature and pressure after compression. We can then use the ideal gas law to calculate the compression ratio.
In conclusion, based on the information provided, it is possible to calculate the highest compression ratio that may be used to avoid pre-ignition in an engine using the ideal gas law. However, more specific information such as the initial temperature and pressure and the specific brand of petrol is needed for a more accurate calculation.
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This type of mutation occurs when one or more base pairs are added to the gene sequence.
Answers
Answer:
Insertion
Explanation:
It causes a frameshift.
if a balloon is squeezed, what happens to the pressure of the gas inside the balloon?
Answers
Answer: By squeezing the balloon, you reduce the space the gas particles can occupy. As the particles are pushed a bit closer together, they collide with more, so the pressure from the moving gas particles increases. If the volume increases, its pressure decreases.
Explain using the colour theory of light, how the colours for pH = 0, pH = 6 and pH = 11 occur.
Answers
The color theory of light is based on the fact that light is made up of different wavelengths, each of which corresponds to a different color. The colors for different pH levels fully expressed below.
How do we explain the colours for pH = 0, pH = 6 and pH = 11 using the theory of color?Based on the color theory, this can be said about the various pH;
1. pH 0: The highly acidic solution absorbs the shorter wavelengths of light, resulting in a red color appearance. This is because acidic substances, with a higher concentration of hydrogen ions (H+ ions), tend to absorb shorter wavelengths and reflect longer wavelengths, which we perceive as the color red.
2. pH 6: The slightly acidic or neutral solution absorbs equal amounts of all wavelengths of light, leading to a light green color appearance. At pH 6, the solution is closer to neutrality, so it does not strongly favor absorption of any particular wavelength, resulting in a more balanced and light green color.
3. pH 11: The highly alkaline solution absorbs the longer wavelengths of light, giving it a blue-ish violet color. Alkaline substances, with a higher concentration of hydroxide ions (OH- ions), tend to absorb longer wavelengths and reflect shorter wavelengths, which we perceive as a blue-ish - violet color.
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A person holds a 25 kg (250 newton) bag of cement over his head and moves it a distance of 10 m, taking 2 minutes, while another person carries it on a wheelbarrow that same distance, taking 1 minute.Who does more work ? What is the power of each person?
Answers
Explanation:
Assuming the 10 m distance is the vertical displacement, the work done by both people is the same.
Work = force × distance
W = (250 N) (10 m)
W = 2500 J
The power of the first person is:
Power = work / time
P = 2500 J / 120 s
P = 20.83 W
The power of the second person is:
P = 2500 J / 60 s
P = 41.67 W
Which organisms release carbon dioxide as waste?
Answers
That’s your answer hope that helped
hope this helps!!
Which event occurs during high tide?
a) All of Earth’s ocean levels rise.
b) The moon’s orbit is closer to Earth.
c) The gravity of the Sun and moon cause the Earth’s crust and water to bulge.
d) Earth’s crust and water are being pulled in opposite directions by the Sun and moon.
Answers
The moon’s orbit is closer to Earth is the event which occurs during high tide.
PerigeeThis occurs once in a month and is the phenomenon in which the moon is
closest to the Earth. This brings about an increase in the tide levels of the
water bodies.
This is the reason why the option B is the most appropriate option as the
moon’s orbit being closer to Earth also signifies a close proximity between
the moon and the earth
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Answer: The answer is: b) The moon’s orbit is closer to Earth.
Explanation: I have my ways :>
Have a great day!
-Sunny
The diagram shows the forces acting on an object at an instant of time. Which of the following statements about the forces is true?
Answers
Answer:
If you want help, try showing that diagram and the following statements.
Calculate the approximate random error ∆h = (1/2) [h(max) - h(min)], where h(max) and h(min) are the highest and lowest values of h. ∆h refers to the random error in each measurement of h.a) The random error in each measurement of h is equal to (h(max) - h(min)) b) The random error in each measurement of h is equal to (1/2) [h(max) - h(min)] c) The random error in each measurement of h is equal to h(max) + h(min) d) The random error in each measurement of h is equal to (h(max) - h(min))/2
Answers
The correct option is (d) The random error in each measurement of h is equal to (h(max) - h(min))/2
The random error (∆h) in each measurement of h can be estimated using the formula (1/2) [h(max) - h(min)]. Let's break down the components of this formula:
1. h(max) represents the highest value of h observed in a set of measurements.
2. h(min) represents the lowest value of h observed in the same set of measurements.
3. (h(max) - h(min)) calculates the range or the difference between the highest and lowest values of h.
By dividing the range (h(max) - h(min)) by 2 and multiplying it by (1/2), we obtain an estimate of the random error (∆h) in each measurement of h.
This is because we assume that the random error is evenly distributed around the true value, and taking half of the range provides a reasonable approximation.
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If Earth's mass doubled, your weight would..
a. increase
b. decrease
c. stay the same
Answers
Answer:
a. increase
Explanation:
Doubling the mass of the Earth would double your weight, since gravitational force is directly proportional to mass, but doubling the radius (which doubles if the diameter doubles) would decrease your weight by a factor of 1/4, since gravitational force is inversely proportional to the square of the radius.
How did Einstein’s and Newton’s theories differ in terms of explaining the cause of gravity?
Answers
Newton's law of universal gravitation doesn't say anything about the cause of gravity.
Einstein's theory of relativity does.
How far must I compress a spring with spring constant 573N/m to produce a force of 184N? Express your answer to the nearest hundredth
Answers
compressed0.32 meters
Explanation
Step 1
The force exerted by a spring on objects attached to its ends is proportional to the spring's change in length away from its equilibrium length and is always directed towards its equilibrium position.
\(F=-kx.\)so
let
\(\begin{gathered} k=573\text{ }\frac{\text{N}}{m} \\ F=184\text{ N} \end{gathered}\)replace and solve for x
\(\begin{gathered} F=-kx \\ 184=-573\frac{N}{m}\cdot x \\ divide\text{ both sides by 573 N/m} \\ \frac{184}{-573\frac{N}{m}}=\frac{-573\frac{N}{m}\cdot x}{-573\frac{N}{m}} \\ -0.32\text{ m=x} \end{gathered}\)the negative symbol indicates the spring is compresed
so, the answer is
0.32 meters
I hope this helps you
A device does 2000 J of work in 10 seconds what is the power of the device
Answers
Answer:
D.20 W
Explanation:
P=W/t
P=2000 J / 10 sec
p=200 Watts
(Newton's Law of Cooling): The mathematical formulation of Newton's empirical law of cooling/warming of an object is given by the linear first-order differential equation
dt
dT
=k(T−T
s
), where k is a constant of proportionality, T(t) is the temperature of the object at any time t≥0, and T
s
is the surrounding environmental temeperature, that is, the temperature of the medium around the object. (i). Assuming that T
s
is constant, find the temeperature of the object as a function of time if T(0)=T
0
. (ii). Then what is the temepretauer of the object after 5 minutes?
Answers
Newton's Law of Cooling is described by the first-order linear differential equation dt/dT = k(T - Ts), where T(t) is the temperature of the object at time t, Ts is the surrounding environmental temperature, and k is the constant of proportionality.
The temperature of an object, governed by Newton's Law of Cooling
(i) To find the temperature of the object as a function of time, we first solve the differential equation dt/dT = k(T - Ts). This is a separable differential equation, and the solution can be obtained by rearranging and integrating:
dt/dT = k(T - Ts)
dt = k(T - Ts) dT
∫ dt = ∫ k(T - Ts) dT
t = k * ∫ (T - Ts) dT
t = k * (T^2/2 - Ts*T) + C
Now, we apply the initial condition T(0) = T0. At t=0, the temperature of the object is T0:
T(0) = T0
k * (\(T0^2\)/2 - Ts*T0) + C = T0
C = T0 - k * (\(T0^2\)/2 - Ts*T0)
C = T0 - k * (\(T0^2\)- 2 * Ts * T0) / 2
C = T0 - k * (\(T0^2\) - 2 * Ts * T0) / 2
So, the equation becomes:
t = k * (\(T^2\)/2 - Ts*T) + (T0 - k * (\(T0^2\)- 2 * Ts * T0) / 2)
(ii) Now, we can find the temperature of the object after 5 minutes (t = 5 minutes). We'll use the initial condition T(0) = T0 and the formula obtained in part (i):
t = 5 minutes = 5/60 hours = 1/12 hours
T(t) = Ts + (T0 - Ts) * exp(-kt)
T(1/12) = Ts + (T0 - Ts) * exp(-k * (1/12))
This equation gives us the temperature of the object after 5 minutes, considering the given initial temperature T0 and the surrounding environmental temperature Ts.
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If a driver makes contact with a steering wheel during a 35 mph crash, she comes to rest in about Δ=15 ms. If, during an identical crash, the driver makes contact with an air bag, she comes to rest in about Δ=110 ms. What is the ratio of the force exerted by the steering wheel to the force exerted by the air bag on the driver?
Answers
Answer:
The ratio of forces is 22 : 3.
Explanation:
Case I:
initial velocity, u = 35 mph
final velocity, v = 0
time, t = 15 ms
Case II:
initial velocity, u = 35 mph
final velocity, v = 0
time, t' = 110 ms
let the mass is m.
According to the Newton's second law, the force is given by the rate of change of momentum.
So
\(F =\frac{m(v-u)}{t}\\\\F'= \frac{m(v-u)}{t'}\\\\So, \frac{F}{F'} =\frac{t'}{t}\\\\\frac{F}{F'}=\frac{110}{15}=22:3\)
How do you think each firefighting method affects the chemical reaction involved in wildfires
Answers
Answer:
I think it effects it by how the fire being a chemical reaction since it has gas in it, it effects it by how the water pputs it out, and it stopping the chemical reactions
Explanation:
What’s the difference between mechanical and chemical weathering
Answers
Answer:
Mechanical weathering is the physical breakdown of rock into smaller pieces. Chemical weathering is the breakdown of rock by chemical processes.
Explanation:
Mechanical weathering (also called physical weathering) breaks rock into smaller pieces. These smaller pieces are just like the bigger rock, just smaller. That means the rock has changed physically without changing its composition. The smaller pieces have the same minerals, in just the same proportions as the original rock.
Chemical weathering is the other important type of weathering. Chemical weathering is different from mechanical weathering because the rock changes, not just in size of pieces, but in composition Chemical weathering works through chemical reactions that cause changes in the minerals.
A box that weighs 5.00×10^2 N is sliding down a ramp at a constant speed. The angle the ramp makes with the horizontal is 25°. What is the coefficient of friction between the box and the ramp?
Answers
Answer:
0.466 (3 sig. fig.)
Explanation:
Frictional force acting on the box = 5.00×10^2xsin25
Normal force acting on the box = 5.00×10^2xcos25
coefficient of friction = 0.466 (3 sig. fig.)
A gannet is a seabird that fishes by diving from a great height. You may want to review If a gannet hits the water at 32 m/s, what height did it dive from? Assume that the gannet was motionless before starting its dive. Express your answer to two significant figures and include the appropriate units. h =
Answers
After considering the given data the height from which the gannet dived is approximately 51.84 m.
To evaluate the height from which a gannet dived if it hits the water at 32 m/s, assuming that the gannet was motionless before starting its dive, we can apply the law of conservation of energy, which projects that the initial potential energy of the gannet is equivalent to its final kinetic energy prior to hitting the water. Then, we can write:
\(mgh = (1/2)mv^2\)
Here:
m = mass of the gannet
g = acceleration due to gravity
h = height from which the gannet dived
v = velocity of the gannet just before hitting the water
Considering that the mass of the gannet is 1 kg, and applying substitution of the given values, we get:
\((1 kg)(9.8 m/s^2)(h) = (1/2)(1 kg)(32 m/s)^2\)
\(h = (1/2)(32 m/s)^2 / (9.8 m/s^2)\)
h = 51.84 m
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The complete question is
A gannet is a seabird that fishes by diving from a great height. If a gannet hits the water at 32 m/s , what height did it dive from? Assume that the gannet was motionless before starting its dive.
How far does a horse travel if it gallops at an average speed of 15km/hr for 2 hours?
Answers
Answer:
30km
Explanation:
Distance= speed x time
15x2=30km
How does an insulator stop the flow of an electric current? Question 9 options: Electrons in an insulator do not move readily. Insulators convert electric energy to other forms of energy. Insulators have too many electrons. Insulators have a positive charge so they absorb electrons.
Answers
Insulators are often defined as materials that do not allow electricity to flow through them. Option A is correct. Electrons in an insulator do not move readily.
What is an insulator?Insulators are commonly employed in physics. Insulators are often defined as materials that do not allow electricity to flow through them.
Insulators are also referred to as poor electrical conductors. We may discover various instances of these insulators in our daily lives. Insulators include materials such as paper, glass, rubber, and plastic.
Insulators are often defined as materials that do not allow electricity to flow through them. Electrons in an insulator do not move readily
Hence option A is correct. Electrons in an insulator do not move readily
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An explanation for planetary differentiation is_____________.
Question 5 options:
all the planets are different colors and some have life, while others do not
different scientist are chosen to explore planet simularities
The process through which distinct layers with characteristic chemical and/or physical properties are formed
planets have different orbits around the sun and therefore consist of varying elements
Answers
Answer:
C. The process through which distinct layers with characteristic chemical and/or physical properties are formed
Explanation:
I know It cause i took that test last year. Just wanna help GL.
The process by which distinct layers with distinct chemical and/or physical properties form is one explanation for planetary differentiation.
What is Orbit?In celestial mechanics, an orbit is the curved path taken by an object, such as the trajectory of a planet around a star, a natural satellite around a planet, or an artificial satellite around a space object or location, such as a planet, moon, asteroid, or Lagrange point.An orbit is the curved path taken by a spacecraft, planet, moon, star, or other object as it is drawn by the gravity of another object. Gravity is what attracts mass-containing objects in space. An orbit is the path that an object takes around a specific point in space, such as the path that the Moon takes around the Earth.To Learn more about orbit refer to:
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PLEASE HELP! NO FAKE ANSWERS
1. Imagine a person flying straight up from Earth's surface. She would experience different conditions as she goes through the layers of the atmosphere. Some layers are cooler, some are hotter, some have oxygen, and some have almost no molecules. Answer the questions below to describe the conditions in each layer. (10 points)
A. What are the conditions in the troposphere? (2 points)
B. What sort of temperatures would she experience in the stratosphere? What other layer is found within the stratosphere? (3 points)
C. What sort of temperatures would she experience in the mesosphere? (2 points)
D. What sort of temperatures would she experience in the thermosphere? What other layer is found within the thermosphere? (3 points)
Answers
Troposphere, stratosphere, mesosphere, thermosphere and exosphere.
What are five layers of earth?Earth's atmosphere has five major layers.
From lowest to highest, layers are the troposphere, stratosphere, mesosphere, thermosphere and exosphere.
a) What are the conditions in the troposphere?
The atmospheric temperature descends upward with a slope of ~10 K km−1 for dry air and ~7 K km−1 for wet air in troposphere.
The temperature of troposphere decreases with an increase in height.
B) What sort of temperatures would she experience in the stratosphere? What other layer is found within the stratosphere?
The temperature in the stratosphere ranges from- 60° F at the troposphere boundary to -5°F at the top.
The temperature increase is due to the ozone layer that absorbs ultraviolet light from solar radiation.
C)What sort of temperatures would she experience in the mesosphere?
The temperature in the mesosphere ranges from -2.5°C to -90°C
The temperature decreases because of a decrease in the absorption of penetrating solar radiation.
The atmosphere gets cooler with an increase in altitude because an increase in distance from the Earth's surface.
D)What sort of temperatures would she experience in the thermosphere? What other layer is found within the thermosphere?
4,500°F is the temperature of thermosphere.
Temperatures climb sharply in the lower thermosphere , then level off and hold fairly steady with increasing altitude above that height.
Temperatures in the upper thermosphere can range from about 500° C (932° F) to 2,000° C (3,632° F) or higher.
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A figure skater rotating at 5.00 rad/s with arms extended has a moment of inertia of 2.25 kg•m2. if the arms are pulled in so the moment of inertia decreases to 1.80 kg•m2, what is the final angular speed?
A) 2.25 rad/s
B) 6.25 rad /s
C) 0.81 rad/s
D) 4.60 rad/s
Answers
Answer: B) 6.25 rad/s
Which of the following is true for displacement?
(a) It cannot be zero.
(b) Its magnitude is greater than the distance travelled by the object.
(c) displacement may or may not be equal to distance
ab and ccall
Answers
The statement that is true about displacement is that displacement may or may not be equal to the distance travelled.
Displacement can be defined as the shortest distance between the initial and the final position of the body.
Displacement is a vector quantity it has a magnitude as well as direction.
Displacement can be zero, can be negative and it also can be positive.
Displacement may or may not be equal to the distance travelled. Because the object travels in the shortest distance possible then the distance will be equal to the displacement of the object. But if the object take any other path to travel from the initial to final position then that is placement may not be equal to the distance travelled.
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What are all the principles of Cell Theory. Group of answer choices Cell only form from living cells All cells have chromosomes All living things have cells All cells have a nucleus People only have cells Cells are the basic unit of life
Answers
Answer:
Cell theory is the scientific theory that states that all living things are composed of cells and that cells are the basic unit of life. The three principles of cell theory are the cell is the smallest unit of life, all cells come from preexisting cells, and cells are the basic unit of function in living things.
Explanation:
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gendo is driving a car at 20 m/s when he suddenly slams on the brakes, locking the wheels. the coefficient of kinetic friction between the tires and the road is 0.84. what is the speed of the car 1.4 seconds after he slams on the brakes? ignore air resistance
Answers
The heat and pressure generated when slamming on the brakes can cause tears and cracks in the hoses.
Sliding friction is defined as the force acting between moving surfaces. An object moving on a surface experiences a force opposite its direction of motion. The force magnitude depends on the dynamic friction coefficient between the two materials.
Static friction prevents the box from moving without being pushed. It must be overcome with sufficient reaction force before the box can move. Kinetic friction is the force that resists the relative motion of surfaces when they begin to move.
Sliding friction is also called kinetic friction because it occurs between two surfaces rubbing against each other. Sliding friction is caused by the entanglement of surface irregularities.
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I REALLY NEED THE ANSWER!!!!
Answers
Answer:
vega the first one
pb
p
Explanation:
Does anyone have a science fair Idea in the topic force and motion? Please I need help!
Answers
Answer:
i did this project where i took two marbles pool noodles and tape then i made a ramp and i saw which marble would go down faster the big marble or the little marble hope this helps!!