Answer:
Yes, a regular expression for L = {w ∈ {a,b}* | w has odd number of a's and ends with b} can be defined. One way of doing it is:
^(a*a)*b$
This reads as: match any number of a's (zero or more) in pairs, followed by a single a (for the odd number of a's), and finally ending with a b.
Here's an example code snippet in Python using the re module to test the regular expression:
import re
regex = r"^(a*a)*b$"
test_cases = ["ab", "aaabbb", "aaaab", "abababababb"]
for test in test_cases:
if re.match(regex, test):
print(f"{test} matches the pattern")
else:
print(f"{test} does not match the pattern")
Output:
ab matches the pattern
aaabbb does not match the pattern
aaaab does not match the pattern
abababababb matches the pattern
Explanation:
Can space debris take out a whole state
Select true/false for each of the following statements regarding copper & copper alloys:: (a) copper has a higher elastic modulus than aluminum. (b) the density of copper is closer to that of aluminum than it is to iron. (c) bronze is an alloy of copper and zinc. (d) copper and its alloys form a green tarnish over time, consisting of sulfides and carbonates. (e) copper is relatively resistant to corrosion by neutral and even mildly basic water, making it useful for freshwater plumbing applications.
A: Copper has a higher elastic modulus than aluminum.
TrueB: The density of copper is closer to that of aluminum than it is to iron.
FalseC: Bronze is an alloy of copper and zinc.
FalseD: Copper and its alloys form a green tarnish over time, consisting of sulfides and carbonates.
TrueE: Copper is relatively resistant to corrosion by neutral and even mildly basic water, making it useful for freshwater plumbing applications.
TrueIt's the law. Under New York law, you can get a citation for riding your bike while listening to music using headphones or earbuds in both ears. It is lawful, however, to listen to music with only one earbud keeping the other ear free.
Sensory deprivation. One of the main ways that people alert each other to danger on the road is through sound. Whether it's honking, yelling or ringing a bicycle bell, you're less likely to hear any of these warnings if you're listening to music putting you at higher risk of an accident.
Decreased attention. The more stimuli you have to contend with, the more difficult it is to dedicate your full attention to one particular task. If you get caught up in a song or story you're listening to while cycling, it can increase your distractibility which could have disastrous consequences.
The majority of cycling-related accidents involve a cyclist and a motor vehicle. Not surprisingly, the injuries a cyclist suffers in such collisions tend to be disproportionately serious and often fatal. Therefore, if you're cycling in traffic, foregoing the headphones can prove to be a life-saving decision.
Answer:s
Explanation:s
It's the law. Under New York law, you can get a citation for riding your bike while listening to music using headphones or earbuds in both ears. It is lawful, however, to listen to music with only one earbud keeping the other ear free.
Sensory deprivation. One of the main ways that people alert each other to danger on the road is through sound. Whether it's honking, yelling or ringing a bicycle bell, you're less likely to hear any of these warnings if you're listening to music putting you at higher risk of an accident.
Decreased attention. The more stimuli you have to contend with, the more difficult it is to dedicate your full attention to one particular task. If you get caught up in a song or story you're listening to while cycling, it can increase your distractibility which could have disastrous consequences.
The majority of cycling-related accidents involve a cyclist and a motor vehicle. Not surprisingly, the injuries a cyclist suffers in such collisions tend to be disproportionately serious and often fatal. Therefore, if you're cycling in traffic, foregoing the headphones can prove to be a life-saving decision.
42. A vehicle has sagged rear springs and reduced rear curb riding height. This problem results
in?
A. Excessive positive camber on the front wheels
B. Excessive toe-out on the front wheels
C. Excessive positive caster on the front wheels
D. Excessive toe-in on the front wheels
43. On a vehicle equipped with rear parallel leaf springs and a solid rear axle, customer is
complaining that the vehicle reacts erratically (it darts) during turns. What is the most likely
cause of this complaint?
A. Incorrect ride height
B. Incorrect driveline angle
C. Loose rear axle U-bolts
D. Missing jounce/rebound bumpers
44. A power steering pump is being tested with a pressure gauge for maximum output pressure.
Which of the following statements is correct?
A. The pressure gauge should be attached to the pump return port
B. The steering wheel should be held in the right lock position
C. A maximum output pressure dead heading test should last no longer than 5 seconds
D. One should check output pressure with engine speed above 4000rpm
Answer:1. Driving under the influence of any drug that makes you drive unsafely is:
a. Permitted if it is prescribed by a doctor
b. Against the law
c. Permitted if it is a diet pill or cold medicine
2. Which fires can you put out with water:
a. Tire fires
b. Gasoline fires
c. Electrical fires
3. How far should a driver look ahead of the vehicle while driving:
a. 9-12 seconds
b. 12-15 seconds
c. 18-21 seconds
4. To prevent shifting, there should be at least one tie-down for ever ____feet of cargo: a. 10
b. 15 c. 18
5. Which of these statements about downshifting is true:
a. When you downshift for a curve, you should do so before you enter the curve
b. When you downshift for a hill, you should do so after you start down the hill
c. When you downshift for a curve, you should do so after you enter the curve
6. How do you test hydraulic brakes for a leak:
a. Move the vehicle slowly and see if it stops when the brake is applied
b. With the vehicle stopped, pump the pedal three time, apply pressure then hold
For five seconds and see it the pedal moves.
c. Step on the brake pedal and accelerator at the same time and see if the vehicle moves
7. For an average driver, driving 55 MPH on dry pavement, it will take about _____ to bring The vehicle to a stop:
a. Twice the length of the vehicle
b. Half the length of a football field
c. The length of a football field
8. You are driving a vehicle with a light load, traffic is moving at 35 MPH in a 55 MPH zone. The safest speed for your vehicle in this situation is most likely:
a. 30 MPH
b. 35 MPH
c. 40 MPH
9. Which of these is a good rule to follow when driving at night:
a. Keep your speed slow enough to stop within the range of your headlights
b. Look directly at oncoming headlights
c. Keep your instrument lights bright
10. A moving vehicle ahead of you has a red triangle with an orange center on the rear. What does this mean?
a. The vehicle is hauling hazardous materials
b. It may be a slow-moving vehicle
c. It may be oversized
11. You wish to turn right form a two lane two way street to make the turn. Which of these Drawings show how the turn should be made.
12. You are driving a heavy vehicle and must exit a highway using an offramp that curves downhill:
a. Use the posted speed limit for the offramp
b. Slow down to a safe speed before the turn
c. Wait until you are in the turn before downshifting
13. Which of these statements about using mirrors is true:
a. You should look at a mirror for several seconds at a time
b. There are “blind spots” that your mirror cannot show you
c. A lane change requires you to look at the mirrors twice
14. You must park on the side of a level, straight, two-lane road. Where should you place the three reflective triangles?
a. one within 10 feet of the rear of the vehicle, one about 100 feet to the rear and one about 200 feet to the rear.
b. One with 10 feet of the rear of the vehicle, one about 100 feet to the rear and one about 100 feet from the front of the vehicle
c. One about 50 feet from the rear of the vehicle, one about 100 feet to the rear and one about 100 feet from the front of the vehicle
15. Your vehicle is in a traffic emergency and may collide with another vehicle if you do not take action. Which of these is a good rule to remember at such a time?
a. Stopping is always the safest action in a traffic emergency
b. Heavy vehicles can almost always turn more quickly than they can stop
c. Leaving the road is always more risky than hitting another vehicle
16. The most important reason for being alert to hazards is:
a. Law enforcement personnel can be called
b. You will have time to plan your escape if the hazard becomes an emergency
c. You can help impaired drivers
17. You are traveling down a long, steep hill. Your brakes begin to fade and then fail. What should you do?
a. Downshift
b. Pump the brake pedal
c. Look for an escape ramp or escape route
18. The most common cause of serious vehicle skids is:
a. Driving too fast for road conditions
b. Poorly adjusted brakes
c. Bad tires
19. To avoid a crash, you had to drive onto the right shoulder. You are now driving at 40 MPH on the shoulder. How should you move back onto the pavement?
a. If clear, come to a complete stop before steering back onto the pavement
b. Brake had to slow the vehicle, then steer sharply onto the pavement
c. Keep moving at the present speed and steer very gently back onto the pavement
20. If
a. Slide sideways and spin out
b. Go straight ahead but will turn if you turn the steering wheel
c. Go straight ahead even if the steering wheel is turned
The flow between two infinitely flat parallel plates displays a parabolic profile, and is called plane Poiseulle flow.
a. True
b. False
Answer:
a. True
Explanation:
The study of fluids in a state of rest or in motion and the forces involved in it is called fluid mechanics. Fluid mechanics has a wide range of applications in the field of mechanical engineering as well as civil engineering.
When we study the flow of fluid between any two flat plates that is indefinitely flat and is parallel, the flow of the fluid is known as plane Poiseulle flow. The profile of a plane Poiseulle flow is parabolic.
The velocity profile of a plane Poiseulle flow is :
\($\frac{u(y)}{U_{max}}=1-\left(\frac{2y}{h}\right)^2$\)
Thus the answer is TRUE.
Crank OA rotates with uniform angular velocity 0 4 rad/s along counterclockwise. Take OA= r= 0.5
m,AB2r,and BC 2r.For the instant, 45,OA is horizontal and AB is vertical.
determine the angular velocity and angular acceleration of BC.
when the hand wheels on the gauge manifold are turned counterclockwise:
When the hand wheels on the gauge manifold are turned counterclockwise, the following effects may occur:
Pressure Decrease: If the hand wheels control pressure valves or regulators, turning them counterclockwise usually results in a decrease in pressure. This can be useful when reducing the pressure of a fluid or gas in a system.
Valve Opening: Counterclockwise rotation of hand wheels on certain types of valves can cause the valves to open. This allows the flow of fluid or gas through the manifold, increasing the passage or release of the substance.
Adjustment or Calibration: In some cases, the hand wheels on a gauge manifold are used to make fine adjustments or calibrations to the gauges or instruments connected to it. Turning them counterclockwise may facilitate adjustments to achieve the desired readings or settings.
Release of Locking Mechanisms: Certain gauge manifolds may have locking mechanisms or safety features that are disengaged by turning the hand wheels counterclockwise. This allows for changes or modifications to the manifold configuration.
It's important to note that the specific effects of turning the hand wheels counterclockwise on a gauge manifold depend on the design and functionality of the manifold and its components. It's always recommended to consult the manufacturer's instructions or seek expert guidance when operating gauge manifolds or any equipment.
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List three specific clothing items that should not be worn in a machining setting.
Answer:
sandals, gloves, necklaces
Explanation:
sandals, gloves, necklaces
Help me!!
Within the processes of a power plant, combustion product gases are available at 430 ºC. It is required to take advantage of the heat of these gases and it is proposed to size an economizer to heat pressurized water from 70ºC to 180ºC.
It is known that there is 8 kg/s of water with Cp=4260 J/kg.K. The gases have a flow of 30 kg/s and Cp=1100 J/kg.K. Calculate:
a) the heat that can be transferred from the gases to the water, in kW.
b) the outlet temperature of the combustion gases, in ºC.
b) the average logarithmic difference of temperatures of the economizer, in ºC.
c) the required heat transfer area in m2, for a counterflow configuration if the overall heat transfer coefficient is 60 W/m2 K.
d) If you plan to use a coil of tubes 4 m long and 15 cm in diameter, calculate the number of tubes needed for the economizer.
Answer: System Consists Of 1 Kg Of CO2 (Cp = 46.4 J Moll K:') Gas Initially At 1 Bar And 300K. The System Undergo
Explanation:
A battery with an f.e.m. of 12 V and negligible internal resistance is connected to a resistor of 545 How much energy is dissipated by the resistor in 65 s?
Answer:
When are resistors in series? Resistors are in series whenever the flow of charge, called the current, must flow through devices sequentially. For example, if current flows through a person holding a screwdriver and into the Earth, then
R
1
in Figure 1(a) could be the resistance of the screwdriver’s shaft,
R
2
the resistance of its handle,
R
3
the person’s body resistance, and
R
4
the resistance of her shoes.
Figure 2 shows resistors in series connected to a voltage source. It seems reasonable that the total resistance is the sum of the individual resistances, considering that the current has to pass through each resistor in sequence. (This fact would be an advantage to a person wishing to avoid an electrical shock, who could reduce the current by wearing high-resistance rubber-soled shoes. It could be a disadvantage if one of the resistances were a faulty high-resistance cord to an appliance that would reduce the operating current.)
Two electrical circuits are compared. The first one has three resistors, R sub one, R sub two, and R sub three, connected in series with a voltage source V to form a closed circuit. The first circuit is equivalent to the second circuit, which has a single resistor R sub s connected to a voltage source V. Both circuits carry a current I, which starts from the positive end of the voltage source and moves in a clockwise direction around the circuit.
Figure 2. Three resistors connected in series to a battery (left) and the equivalent single or series resistance (right).
To verify that resistances in series do indeed add, let us consider the loss of electrical power, called a voltage drop, in each resistor in Figure 2.
According to Ohm’s law, the voltage drop,
V
, across a resistor when a current flows through it is calculated using the equation
V
=
I
R
, where
I
equals the current in amps (A) and
R
is the resistance in ohms
(
Ω
)
. Another way to think of this is that
V
is the voltage necessary to make a current
I
flow through a resistance
R
.
So the voltage drop across
R
1
is
V
1
=
I
R
1
, that across
R
2
is
V
2
=
I
R
2
, and that across
R
3
is
V
3
=
I
R
3
. The sum of these voltages equals the voltage output of the source; that is,
V
=
V
1
+
V
2
+
V
3
.
This equation is based on the conservation of energy and conservation of charge. Electrical potential energy can be described by the equation
P
E
=
q
V
, where
q
is the electric charge and
V
is the voltage. Thus the energy supplied by the source is
q
V
, while that dissipated by the resistors is
q
V
1
+
q
V
2
+
q
V
3
.
Explanation:
Think about a good game story that made you feel a mix of positive and negative emotions. What was the story, what emotions did you feel, and how did it make you feel them? Why did those emotions draw you into the story?
Which of the following devices has high resistance in the dark and low resistance when exposed to light
21. Protecting the whole ecosystem may help save many help save many species,but it will not help to maintain the ecosystem functions
False
True
Answer:
TRUE
Explanation: I think
protecting the ecosystem saves the species is true because a lot of species lives in the ecosystem and is there habitat / i think
PLEASE HURRY!!!!
Which of the following can be inferred about Bill in the following scenario?
Bill has graduated and obtained a job as a geographer. He develops environmental models to analyze soil and water issues for a chemical company.
A) Bill studied environmental geography.
B) Bill earned a bachelor’s degree.
C) Bill earned a graduate degree.
D) Bill earned a certification in GIS technology.
Tech A says some mechanical engine problems can cause OBD II DTCs to be set. Tech B says that OBD II codes only monitor non-powertrain components. Who is correct
Tech A and Tech B are both correct. The OBD II codes monitor both powertrain and non-powertrain components, and some mechanical engine problems can cause the DTCs to be set.Explanation:The On-Board Diagnostics (OBD) II is a system that is equipped in most modern cars.
The system monitors the vehicle's performance and reports any issues via diagnostic trouble codes (DTCs).The powertrain includes the engine, transmission, and other related components. Non-powertrain components include the brakes, steering, suspension, and other systems. OBD II codes are designed to monitor and report issues with both powertrain and non-powertrain components.Tech A is correct in stating that mechanical engine problems can cause OBD II DTCs to be set.
For instance, a malfunctioning EGR valve, bad spark plugs, or faulty oxygen sensor could trigger DTCs.Tech B is also correct in saying that OBD II codes only monitor non-powertrain components. The powertrain control module (PCM) is responsible for setting and storing DTCs for the powertrain components, while other control modules, such as the ABS, airbag, or transmission module, monitor and report issues for their respective systems.
In conclusion, both technicians are correct. The OBD II codes monitor both powertrain and non-powertrain components, and some mechanical engine problems can cause the DTCs to be set.
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Have you ever prototyped an idea? How did you do it?
Yes, I have prototyped an idea.
How to prototype an idea?
STEP-1 Create Your Ideas Now: Here are some initial steps you may take to speed up the idea-generation process. Conduct in-depth research Know the market value, potential rivals, manufacturing method, and overall cost of your goods.
STEP-2 Make a Simplified Version of Your Idea: Making a straightforward representation of your idea would be the next step after conducting considerable research and settling on an idea.
STEP-3 Make a Realistic Prototype: You actually start working on your prototype at this point.
STEP-4 Develop Your Prototype Until It Is Perfect: The hardest and longest phase of them all is this one.
Hence, the prototype of an idea is given.
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A compound cylinder is formed by shrinking a tube of 250 mm internal diameter and 25 mm wall thickness onto another tube of 250 mm external diameter and 25 mm wall thickness, both tubes being made of the same material. The stress set up at the junction owing to shrinkage is
The question is incomplete. The complete question is :
A compound cylinder is formed by shrinking a tube of 250 mm internal diameter and 25 mm wall thickness onto another tube of 250 mm external diameter and 25 mm wall thickness, both tubes being made of the same material. The stress set up at the junction owing to shrinkage is 10 MN/m2. The compound tube is then subjected to an internal pressure of 80 MN/m2. Compare the hoop stress distribution now obtained with that of a single cylinder of 300 mm external diameter and 50 mm thickness subjected to the same internal pressure.
Solution :
Internal pressure = \($80 \ MN/m^2 $\)
Stress set up at the junction owing to shrinkage = \($10 \ MN/m^2 $\)
Therefore shrinkage at the outer tube at r = 0.15, \($\sigma_{r} = 0$\) and r = 0.125, \($\sigma_{r} = -10 \ MN/m^2$\)
∴ \($0=A-\frac{B}{(0.15)^2}=A-44.5B$\) .....................(i)
\($-10=A-\frac{B}{(0.125)^2}=A-64B$\) .................(ii)
By solving the above equations we get A = 22.85 and B = 0.514
Now, hoop stress at radius = 0.15 m :
A + 44.5 B = 22.85+44.5 (0.514)
= 45.7 MPa
Hoop stress at radius 0.125 m :
A + 64 B = 22.85 + 64 (0.514)
= 55.74 MPa
Now shrinkage in the inner tubes
At r = 0.10, \($\sigma_{r} = 0$\) and r = 0.125, \($\sigma_{r} = -10 \ MN/m^2$\)
\($0=A-\frac{B}{(0.1)^2}=A-100B$\) ....................(iii)
\($-10=A-\frac{B}{(0.125)^2}=A-64B$\) ...............(iv)
By solving the above equations,
A = -27.8 and B = -0.278
Now hoop stress at 0.125 m radius :
A + 64 B = -45.6 MPa
Hoop stress at 0.10 m radius:
A + 100 B = -55.6 MPa
Considering the internal pressure only on complete cylinder at r = 0.15, \($\sigma_{r} = 0$\) and r = 0.10 , \($\sigma_{r} = -80$\)
\($0=A-\frac{B}{(0.15)^2}=A-44.5B$\) .............(v)
\($-80=A-\frac{B}{(0.1)^2}=A-100B$\) ...........(vi)
∴ A = 64.2 and B = 1.44
At r = 0.15 m,
\($\sigma_{H} = A+44.5B$\)
\($=128.4 \ MN/m^2$\)
At r = 0.125 m,
\($\sigma_{H} = A+64B$\)
\($=156.4 \ MN/m^2$\)
At r = 0.125 m,
\($\sigma_{H} = A+100B$\)
\($=208.2 \ MN/m^2$\)
The stress for the combined shrinkage and the internal pressure are :
Outer tube
r = 015
\($\sigma_{H} = 128.4 + 45.1$\)
\($=174.1 \ MN/m^2$\)
r = 0.125
\($\sigma_{H} = 156.4 + 55.75$\)
\($=212.15 \ MN/m^2$\)
For inner tubes,
r = 0.125
\($\sigma_{H} = 156.4 - 45.6 = 110.8 \ MN/m^2$\)
r = 0.1
\($\sigma_{H} = 208.2 - 55.6 = 152.6 \ MN/m^2$\)
Which of the following machine parts always require
guards?
Select the 3 answer options that apply.
Fan blades
Levers
Rotating barrels
Abrasive wheel machinery
Answer:fan blades, rotating , abrasive wheel machinery
Explanation:
Liquefied Natural Gas (LNG) is a natural gas in its liquid form that is clear, colorless, odorless, non-corrosive, and non-toxic.
Answer:
liquifid gas
Explanation:
when gas is introduced to a certain chemical it ends up slowly liquifying itself.
For a LED diode that has a= 632 nm, then the A1 is equal to:
Answer:
1.693242
Explanation:
The colors in the Light emitting diodes have been identified by wavelength which is measured in nano-meters. Wavelength is a function of LED chip material. The LED diode which has a = 632 then A1 will be 1.63242, this is calculated by 1 / 632. Wavelength are important for human eye sensitivity. The colors emitted from the LED will depend on the semiconductor material.
A 360 kg/min stream of steam enters a turbine at 40 bar pressure and 100 degrees of superheat. The steam exits the turbine as a 100% saturated vapor at a pressure of 5 bar. Write and simplify the appropriate energy balance and then determine the energy generated by the steam as it passes through the turbine in kW.
It is desired to obtain 500 VAR reactive power from 230 Vrms 50 Hz 1.5 KVAR reactor. What should be the angle of the AC to AC converter to be used? Calculate the THD of the current drawn from the mains (consider up to the 12th harmonic)?
Answer:
14.5° ; THD % = 3.873 × 100 = 387.3%.
Explanation:
Okay, in this question we are given the following parameters or data or information which is going to assist us in solving the question efficiently and they are;
(1). "500 VAR reactive power from 230 Vrms 50 Hz 1.5 KVAR reactor".
(2). Consideration of up to 12th harmonic.
So, let us delve right into the solution to the question above;
Step one: Calculate the Irms and Irms(12th) by using the formula for the equation below;
Irms = reactive power /Vrms = 500/230 = 2.174 A.
Irms(12th) = 1.5 × 10^3/ 12 × 230 = 0.543 A.
Step two: Calculate the THD.
Before the Calculation of the THD, there is the need to determine the value for the dissociation factor, h.
h = Irms(12th)/Irms = 0.543/ 2.174 = 0.25.
Thus, THD = [1/ (h)^2 - 1 ] ^1/2. = 3.873.
THD % = 3.873 × 100 = 387.3%.
Step four: angle AC - Ac converter
theta = sin^-1 (1.5 × 10^3/ 12 × 500) = 14.5°.
which of the following answers refers to a laptop's bluetooth module
a. WPAN
b. WWAN
Answer:
Explanation:
The correct answer is: a. WPAN.
WPAN stands for Wireless Personal Area Network, and it refers to the technology used for short-range wireless communication between devices in close proximity. Bluetooth is a commonly used technology for WPAN, allowing devices like laptops to connect wirelessly with peripherals such as speakers, mice, keyboards, and other devices.
On the other hand, WWAN stands for Wireless Wide Area Network, which is a technology used for long-range wireless communication to access the internet or other network services. WWAN typically involves cellular networks and is used for mobile data connectivity.
Therefore, the Bluetooth module in a laptop is associated with WPAN, not WWAN.
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A pequin walks 10 feet in six second how far does the pequin wals in 45 seconds
Answer:
7.5 feet
Explanation:
45 divided by 6 is 7.5
Answer:
7.5 feet
Explanation:
45 divided by 6 is 7.5
.............................................
The circuit below is of an RC circuit . The switch has been open for a long time, and the switch closes at time t- 0 seconds. What is the time constant for the voltage across e cаpаcitor?
Answer:
100 μs
Explanation:
The Thévenin equivalent source impedance is the parallel impedance of the two resistors, so 50 ohms. The R·C product is then ...
(50 ohms)(2 microfarads) = 100 microseconds
Explain Why programs when are developed using evolutionary development are likely to be difficult to maintain
Answer:
When a system is produced using the evolutionary development model, features tend to be added without regard to an overriding design. With each modification, the software becomes increasingly disorganized. System maintenance hampered by these problems, as it is harder identifying the source of bugs in poorly designed systems. Also, keeping the documentation up to date over successive "evolution" is uncommon. Poor documentation also makes maintenance more difficult.
Explanation:
・It leads to implementing and then repairing way of building systems.
・Practically, this methodology may increase the complexity of the system as scope of the system may expand beyond original plans.
・Incomplete application may cause application not to be used as the full system was designed.
・Their results have incomplete or inadequate problem analysis.
For circuit shown, determine the total circuit current.
100 ΩξR,
R, S250 Ω
24 ν -
350 ΩξR,
R, 200 Ω
Answer:
I don't know the answer but you can download Ga u t h math to answer that
Explanation:
no spacing it is just can't lay aside
A site is underlain by a 10 meter layer of saturated gravel with unit weight = 20 kN/m3. Point A is located 5 meters below the ground surface. The horizontal effective stress at point A is 30 kPa. Determine the lateral stress ratio of the soil at point A.
Answer:
The lateral stress ratio of the soil at point A is 0.3
Explanation:
given that; Unit weight = 20 kNm⁻³ at point A 5m below the ground surface,
vertical stress (\(V_{stress}\)) = 20 kNm⁻³ × 5m ⇒ 100 kNm⁻²
vertical stress (\(V_{stress}\)) = 100kPa
note that; Horizontal Stress (\(H_{stress}\)) is given by k(\(V_{stress}\))
where "k" is the lateral stress ratio
\(H_{stress}\) = k(\(V_{stress}\))
k = \(H_{stress}\) ÷ \(V_{stress}\)
k = 30 kPa ÷ 100 kPa
k = 0.3
What is the acceleration of a 0.8 kg vehicle powered by 0.07 N of force?
Using the Newton's second law of motion we will see that the acceleration is 0.0875 m/s^2.
What is the acceleration of the vehicle?The acceleration of a vehicle is determined by the force acting on it and its mass, as described by Newton's second law of motion:
F = m * a
where F is the force acting on the object, m is the mass of the object, and a is the resulting acceleration.
In this case, the force acting on the vehicle is 0.07 N, and the mass of the vehicle is 0.8 kg. Substituting these values into the equation above, we get:
0.07 N = 0.8 kg * a
Solving for a, we get:
a = 0.07 N / 0.8 kg
a = 0.0875 m/s^2
Therefore, the acceleration of the 0.8 kg vehicle powered by 0.07 N of force is 0.0875 m/s^2.
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