Answer:
15.3 m/s
Explanation:
Radius of orbit= 6400+6300 = 12700 km
Circumference of orbit= 2*(22/7)*12700 =79796.45*10^3 m
Now,
Speed= Distance / Time
= 79796.45*10^3/(24*60*3600)
= 15.3 m/s
Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
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r=1m.
Vt=+- 8m/s
atot (tan
√3)
What What What What...... error
Explain why it takes much more effort to
stop a freight train compared with a car.
Include the terms force, mass and
acceleration in your description
Answer:
Mass Kinetic Energy and Jules
Explanation:
The train in question is big and heavy and a car is decently heavy but say a train moving at 55 mph can plow through a car and a car driving at 55mph driving at a train will be stopped dead in its tracks. This is because newtons laws of motion specifically an object in motion will stay in motion unless its opposed. The train also has a payload behind it meaning it hurts with force while a car doesn't have to much mass behind it. The train takes loner to stop for as it's acceleration as well as it's deceleration are very slow because its huge and takes a lot of force to stop it while a car is very centralized and compact when it comes to weight and its brakes are usually effective at stopping at 55 mph in about 2 to 6 seconds while a train might stay moving for a good 35 seconds. The force behind the train is immense for as even if the wheels don't spin at all the train will still move since the force behind it is great and a cars tires have a lot of grip and not a lot mass which plays into the force the car has so it can stop simply.
A fiber-optic rod consists of a central strand of material surrounded by an outer coating. the interior portion of the rod has an index of refraction of 1.55. if all rays striking the interior walls of the rod with incident angles greater than 59.5° are subject to total internal reflection, what is the index of refraction of the coating?
Answer:
the index of refraction of the coating is 1.33
Explanation:
Given the data in the question;
refraction index of interior portion of the rod η\(_{interior\) = 1.55
angle of incidence θ\(_i\) = 59.5°
From Snell's law, we know that;
η\(_{interior\) × sinθ\(_i\) = η\(_{coating\) × sinθ\(_r\)
where η\(_{interior\) is the index of refraction of the rod ( material 1 )
θ\(_i\) is the angle of incidence
η\(_{coating\) is the index of refraction in outer coating ( material 2 )
θ\(_r\) is the angle of refraction
so we substitute our values into the equation;
η\(_{interior\) × sinθ\(_i\) = η\(_{coating\) × sinθ\(_r\)
1.55 × sin( 59.5° ) = η\(_{coating\) × sin( 90° )
1.55 × 0.861629 = η\(_{coating\) × 1
1.3355 = η\(_{coating\) × 1
η\(_{coating\) = 1.33 { 2 decimal places }
Therefore, the index of refraction of the coating is 1.33
10. A boat traveling at 9.5 m/s reduces its acceleration at a rate of 2.5 m/s2. What is the final speed of the boat
after it travels 12 meters?
Answer:
6.75m/s
Explanation:
using the second equation of motion, the time is calculated.
and with the formula a= (v - u)/t
where a is acceleration but in this case it's deceleration (and should be negated as you solve it ) .
v is final velocity
u is initial velocity
t is time taken
If you have observed something about the world and want to
investigate it further, what are you seeking to do?
a Do background research
b Construct a hypothesis
C Ask a question
d Report the results
Answer: a
Explanation: :)
How many penalties must a player get to be disqualified from the game?
Answer: five
Each player may accrue up to five personal fouls a game prior to disqualification. A common foul occurs away from the ball and does no affect attempted shots. Free-throws: Penalty shots are awarded as follows: a) one free throw for a shooter whose goal is successful and is fouled while shooting.
Explanation:
Answer:
5
Explanation:
Two point charges are placed at the following points on the x-axis. +2.0 C at
×=0, -3.0.C at 0.40m. Find the electric field strength at 1.20m?
The electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.
To find the electric field strength at a distance 1.20 m on the x-axis, we can use Coulomb's law:
\($$F=k\frac{q_1q_2}{r^2}$$\)
where F is the force between two charges, q1 and q2 are the magnitudes of the charges, r is the distance between the charges, and k is the Coulomb constant.For a single point charge q located at the origin of the x-axis, the electric field E at a distance r is given by:
\($$E=\frac{kq}{r^2}$$\) where k is the Coulomb constant.
So, let's calculate the electric field due to each charge separately and then add them up:
For the +2.0 C charge at x = 0, the electric field at a distance of 1.20 m is:\($$E_1=\frac{kq_1}{r^2}=\frac{(9\times10^9)(2.0)}{(1.2)^2}N/C$$\)
For the -3.0 C charge at x = 0.40 m, the electric field at a distance of 1.20 m is:
\($$E_2=\frac{kq_2}{r^2}\)
\(=\frac{(9\times10^9)(-3.0)}{(1.20-0.40)^2}N/C$$\)
The negative sign indicates that the direction of the electric field is opposite to that of the positive charge at x = 0.
To find the net electric field, we add the two electric fields\(:$$E_{net}=E_1+E_2$$\)
Substituting the values of E1 and E2:
\($$E_{net}=\frac{(9\times10^9)(2.0)}{(1.2)^2}-\frac{(9\times10^9)(3.0)}{(0.8)^2}N/C$$E\)
net comes out to be -1.5×10⁴ N/C.
Therefore, the electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.
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Consider two future observatories in space. Observatory X consists of a single 50-meter telescope. Observatory Y is an interferometer consisting of five 10-meter telescopes, spread out over a region 100 meters across. Which observatory can detect dimmer stars, and which one can see more detail in its images
The size and aperture of the telescopes determine its ability to gather light
and reveal details.
A) Observatory X can detect dimmer stars and Observatory Y reveals more
details.
Reasons:
The benefits of using several small telescopes included the production
high resolution images of bright objects such as binary stars that reveal
more details similar to a telescope with a very large aperture, with a
process known as interferometry, through which a star's diameter can be
determined.
The benefit of a large telescope is its ability to gather light from a source,
thereby making possible to detect a dim light source, such as dimmer
stars.
Therefore;
The single large telescope in observatory X can detect dimmer stars while
the interferometer consisting of five 10-meter telescopes, spread out over a
region 100 meters across can see more detail in its images.
The correct option is; A) Observatory X can detect dimmer stars and
Observatory Y reveals more details.
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Question options:
A) Observatory X can detect dimmer stars and Observatory Y reveals more
details.
B) Observatory Y can detect dimmer stars and Observatory X reveals more
details.
C) Observatory X both detect dimmer stars and reveals more details
D) Observatory Y both detect dimmer stars and reveals more details
When the crest of one wave passes through the trough of another wave, ____ takes place. A. resonance B. diffraction C. constructive interference D. destructive interference
When the crest of one wave passes through the trough of another wave, destructive interference takes place.
What is the crest of a wavelength?The crest and trough of a wave, respectively, are its highest and lowest surface portions. The wave height is the vertical distance between the peak and trough. The wavelength is the horizontal separation between two consecutive crests or troughs.
When the crest of one wave passes through the trough of another wave, interference takes place.
This interference can be constructive, where the amplitudes of the waves add up, resulting in a larger wave, or destructive, where the amplitudes of the waves cancel out, resulting in a smaller wave or no wave at all.
The type of interference that occurs depends on the relative amplitudes, wavelengths, and phases of the two waves.
Therefore, destructive interference takes place when the crest of one wave passes through the trough of another wave.
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in the double-slit experiment with electrons, suppose that the observer uses a detector to determine through which slit the electron actually passes. does this affect the outcome of the experiment, and why or why not?
No matter the detector, the pattern on the screen is still non-interference.
In the double-slit experiment, how does the detector operate?In the double-double slit experiment, photons are momentum entangled and can share information about each other's which-slit paths if one of them is found near any double slit. If a single slit of a double-slit is blocked, it is possible to determine the which-slit path from the simultaneous photon detection.
What impact does observation have on the double-slit test?In quantum physics, the double-slit experiment serves as a prominent illustration of the observer effect. The measured outcomes of this experiment can alter if quantum phenomena are observed, according to physicists.
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A player kicks up a ball at an angle θ with the horizontal. The horizontal range is maximum when θ is equal to
Answer:
The horizontal range is maximum when θ is equal to 45°
Explanation:
Projectile Motion
It's known as the type of motion that experiences an object that is projected near the Earth's surface and moves along a curved path exclusively under the action of gravity.
Being vo the initial speed of the object, θ the initial launch angle, and \(g=9.8\ m/s^2\) the acceleration of gravity, then the maximum horizontal distance traveled by the object (also called Range) is:
\(\displaystyle d={\frac {v_o^{2}\sin(2\theta )}{g}}\)
Since the sine of an angle is bounded between -1 and 1, the maximum range will occur when the sine is 1:
\(\sin(2\theta)=1\)
The only angle between 0° and 360° whose sine is 1 is 90°, thus:
\(2\theta=90^\circ\)
Solving:
\(\theta=45^\circ\)
The horizontal range is maximum when θ is equal to 45°
The horizontal range is maximum for the value of angle equivalent to \(45^{\circ}\).
Given data:
The player kicks the ball with an angle \(\theta\) with the horizontal.
The given problem is based on the concept and fundamentals of projectile motion. In a projectile motion, the horizontal range is the horizontal distance covered by an object during its trajectory.
The mathematical expression for the horizontal range is given as,
\(R = \dfrac{u^{2}sin2 \theta}{g}\)
Here,
R is the horizontal range.
u is the initial speed.
And g is the gravitational acceleration.
Clearly, if we need maximum horizontal range, then we need to have the maximum value of sine. So if,
\(\theta =45^{\circ}\)
\(sin2 \theta=sin90\) = 1
So the maximum range is,
\(R = \dfrac{u^{2}sin(2 \times 45^{\circ})}{g}\\\\R = \dfrac{u^{2} \times sin 90^{\circ}}{g}\\\\R = \dfrac{u^{2}}{g}\)
Thus, we can conclude that the horizontal range is maximum for the value of angle equivalent to \(45^{\circ}\).
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Consider this situation: A block is at rest on an inclined
plane. Of the forces listed, identify which act upon the block.
•normal
•gravity
• applied
• friction
•tension
• air resistance
The forces, act upon the block which is at rest on an inclined plane, are:
normal force.force due to gravity.force due to friction.What is frictional force?Two surfaces that come into contact and glide against one another produce frictional force.
When the block is on an inclined plane, its weight is acting downwards for force of gravity, the surface on the plane acts an upward force named normal force. But to become it rest, a resistive frictional force acts on it. Hence, the forces, acts upon the block, are:
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Why must the rockets use great force to get into outer space?
The three agents of sediment ______, which result in deposition as energy decreases, are ice, wind, and water.
Answer:
The three agents of sediment transport, which result in deposition as energy decreases, are ice, wind, and water.
The net force is 180 and the mass is 1.793 what is the acceleration
Answer:
100.390407
Explanation:
To find acceleration, you would use the formula a=f/m (acceleration equals force divided by mass) and then once you enter those numbers in the formula, a=180/1.793. Then you divide 180 divided by 1.793 which gets you an answer of 100.390407.
Proxima Centauri and the Sun are both main-sequence stars, but Proxima Centauri is a red dwarf and the Sun is a yellow dwarf. Based on the information you charted, compare the characteristics of red dwarf stars and yellow dwarf stars.
Answer:
Yellow dwarfs are small, main sequence stars. The Sun is a yellow dwarf. A red dwarf is a small, cool, very faint, main sequence star whose surface temperature is under about 4,000 K. Red dwarfs are the most common type of star. Proxima Centauri is a red dwarf.
Explanation:
Answer:
Red dwarfs are low-mass main-sequence stars. Yellow dwarfs are main-sequence (dwarf) stars with masses comparable to that of the Sun.
Explanation:
What factors affect an objects kinetic energy?
Answer:
friction
air drag
every thing that opposes the motion affects kinetic energy
Explanation:
kinetic energy is a energy which is increase with increase in motion and potential energy is energy stored while the object is at rest
potential energy ∝ 1/(kinetic energy)
as kinetic energy increases potential energy decreases
how to burn your module?
sabog na sabog nako eh
Answer:
get some
get some ⛽⛽⛽⛽⛽
pour the ⛽ on the module,
get that on itttttt and booooooommmm
Explanation:
• Cu + Br
CuBr
2
Is it balanced
Answer:
Cu + Br2 = CuBr2
Explanation:
Written above is the balanced version of the equation. It is a synthesis reaction.
a positively charged insulated rod is brought near two neutral conducting spheres, a and b, which are touching each other and held in place and insulated from the rest of the environment. once the rod is close to (but not touching) sphere a, the spheres are separated from each other. sphere a is then suspended from a string, and the rod is brought near it again while sphere b is moved far away. sphere a is attracted to the rod. the investigation is repeated with a negatively charged rod, and the observed results are the same. which of the following best explains why the results are the same for a positively charged rod and a negatively charged rod?
The best explanation for why the results are the same for a positively charged rod and a negatively charged rod is that the charge on the spheres is redistributed to create opposite charges on the spheres.
The charge on the spheres is redistributed to create opposite charges on the spheres, which is why the results are the same for a positively charged rod and a negatively charged rod. This redistribution happens as a result of induction. As a result of the charge redistribution, the spheres develop an attraction to the rod. When a negatively charged rod is brought close to the spheres, the charge on the spheres is redistributed, causing one of the spheres to have a net positive charge and the other to have a net negative charge.
The sphere with the opposite charge (in this case, the one with a net positive charge) is attracted to the negatively charged rod, while the sphere with the same charge (in this case, the one with a net negative charge) is repelled. This redistribution results in the spheres separating from one other.When a positively charged rod is brought near the spheres, the same charge redistribution occurs, resulting in the same attraction between the oppositely charged sphere and the rod. Sphere B is far away, hence it does not undergo any charge redistribution as a result of the presence of the charged rod.
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1. 300 meters convert by 1 mile
2. 65 minutes convert by 1 hour
3. 35 yards convert by 1 meter
(show solution)
300 meters = 0.186411 miles, 65 minutes = 1.08333 hours, 35 yards = 32.004 meters
1. To convert 300 meters to miles, you can use the conversion factor 1 mile = 1609.344 meters. So, 300 meters = 300/1609.344 miles = 0.186411 miles.
2. To convert 65 minutes to hours, you can use the conversion factor 1 hour = 60 minutes. So, 65 minutes = 65/60 hours = 1.08333 hours.
3. To convert 35 yards to meters, you can use the conversion factor 1 yard = 0.9144 meters. So, 35 yards = 35*0.9144 meters = 32.004 meters.
In summary:
300 meters = 0.186411 miles
65 minutes = 1.08333 hours
35 yards = 32.004 meters
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What happens when an electrically charged balloon is placed close to an uncharged soda can?
The balloon attracts the can.
The balloon is negatively charged.
The can attracts the balloon.
The can becomes positively charged.
Answer:
The surface closest to the balloon becomes positively charged, while the far side of the can becomes negatively charged. This results in an attractive force that draws the can to the balloon.
Explanation:
Answer:
The balloon is negatively charged.
Explanation:
hope it helps
please answer this question
Answer:
11.a) Car B is faster than Car A. This is because Car B covers more distance in less time, whereas Car A covers less distance in more time. Now, as we know that distance is directly proportional and time is inversely proportional to speed. In Car B, a larger distance and less time and a smaller distance and more time in Car A, indicates that the speed of Car B is more than the speed of Car A.
b) Car B accelerates faster than Car A. We know that, the acceleration is directly proportional to the change in linear velocity and inversely proportional to time taken. Here, The overall journey of Car B is short, whereas for Car A, it's longer. Also, as previously mentioned that the final speeds of Car B is more than Car A [remembering that both Cars start from the origin(rest)]. Hence, the change of velocity in Car B is more than Car A. Hence so.
black holes are often discovered by observing the shifting of spectral lines in an ordinary star that they are orbiting. careful measurements of the shifting spectral lines can provide
Careful measurements of the shifting spectral lines in an ordinary star orbiting a black hole can provide valuable information about the presence and properties of the black hole.
By observing the shifting of spectral lines, scientists can infer the presence of a massive object exerting gravitational influence on the star. This gravitational effect, known as gravitational redshift or blueshift, causes the wavelengths of light emitted by the star to shift towards longer or shorter wavelengths, respectively. The careful measurements of these spectral line shifts can provide insights into various aspects of the black hole, such as its mass, spin, and orbital characteristics. The degree of spectral line shift can be used to estimate the gravitational force exerted by the black hole, which in turn helps determine its mass.
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Can anyone help me with this question please
I’ll mark as brainliest
No links.
the transverse Wave which is Answer:2
Answer:
1
Explanation:
amplitude is the maximum distance from the rest of the particles. amplitude is thus measured from the rest position to the peak of a crest or of a trough.
as seen below, graph 1 has an amplitude of 1 while both graph 2 and 3 has an amplitude of 2.
another A b c or d about the earth...
Answer:
B seismic wave
a diagnostic ultrasound echo is reflected from moving blood and returns with a frequency 500 hz higher than its original 2 mhz. what is the velocity of the blood? assume that the frequency of 2 mhz is accurate to seven significant figures and 500 hz is accurate to three significant figures.
The velocity of the blood is 0.1925 m/s.
When blood flows back and forward, and creates a different frequency on the diagnostic ultrasound echo, the blood flow creates a doppler effect on the device. The formula
f₂ = f₁ × ((v ± vb) ÷ (v ± vb'))
f₁ = the frequency from the sourceThe velocity of the blood is the same but in a different direction.
vb = vb vb' = - vbf₂ = f₁ × ((v ± vb) ÷ (v ± vb'))
2,000,500 = 2,000,000 × ((1,540 + vb) ÷ (1,540 - vb))
2,000,500 ÷ 2,000,000 = ((1,540 + vb) ÷ (1,540 - vb))
1.00025 = ((1,540 + vb) ÷ (1,540 - vb))
1.00025 (1,540 - vb) = 1,540 + vb
1,540.385 - 1.00025vb = 1,540 + vb
1,540.385 - 1,540 = vb + 1.00025vb
0.385 = 2.00025vb
vb = 0.385 ÷ 2.00025
vb = 0.1925 m/s
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By using __________, all passengers and driver may prevent or limit the injuries that could occur from the effects of inertia.
By using seatbelts, all passengers and driver may prevent or limit the injuries that could occur from the effects of inertia.
Inertia is a tendency to do nothing or to remain unchanged.
Inertia means an object will continue its current motion until some force causes its speed or direction to change.
While travelling in a vehicle, the inertias experienced by the passengers and drivers are inertia of motion and inertia of rest.
To avoid these, seatbelts are designed.
A seat belt is defined as a vehicle safety device designed to secure the driver or a passenger of a vehicle against the inertias.
Hence,
By using seatbelts, all passengers and driver may prevent or limit the injuries that could occur from the effects of inertia.
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5. You are about to skateboard down a long hill. Your initial velocity is 2.0 m/s south. When you reach
the bottom of the hill you are travelling 6.0 m/s south. It took you 57 seconds to reach the bottom of
the hill. What was your displacement?
Answer:
Displacement is the change in position of an object. To find displacement, we can subtract the initial position from the final position. In this case, the initial position is 0 m/s, since you start at rest, and the final position is 6.0 m/s south. So, the displacement is 6.0 m/s south.