Explanation:
Okay soo-
Given-
u = 60 km/hr = 60×1000/3600=50/3 m/s
t = 20 s
s = 250 m
a = ?
v = ?
Solution -
Here, acceleration is uniform.
(a) According to 2nd kinematics equation,
s = ut + ½at^2
250 = 50/3 ×20 + 0.5×a×20×20
250-1000/3=200a
(750-1000)/3=200a
a = -250/(3×200)
a = -5/12
a = 0.4167 m/s^2
The required uniform acceleration of the car is 0.4167 m/s^2.
(b) According to 1st kinematics equation
v = u + at
v = 50/3 + (-5/12)×20
v = 50/3-25/3
v = 25/3
v = 8.33 m/s
The speed of the car as it passes the traffic light is 8.33 m/s.
Good luck!
A ball is dropped onto a step at point A and rebounds with a velocity vo at an angle of 15° with the vertical. Determine the value of vo knowing that just before the ball bounces at point B its velocity vB forms an angle of 12° with the vertical. Also determine the velocity of B, vB and the distance d.
Answer:
v₀ = 2.68 m/s.
[tex]v_{B}[/tex] = 3.33 m/s
d = 1.61 m
Explanation:
Searching on the internet I found the picture of the answer in which the height between point A and point B is equal to 0.2 m.
To determine the value of v₀ we need to use the following equation:
[tex] v_{f} = v_{0} - gt [/tex]
Taking the initial vertical velocity ([tex]v_{0_{y}}[/tex]) as [tex]v_{A_{y}}[/tex] and the final vertical velocity ([tex]v_{f_{y}}[/tex]) as [tex]v_{B_{y}}[/tex] we have:
[tex]v_{B_{y}} = v_{A_{y}} - gt[/tex]
We can express the time (t) in terms of the velocities of A and B:
[tex] t = \frac{v_{A_{y}} - v_{B_{y}}}{g} [/tex] (1)
Now, we can use the equation:
[tex]y_{f} = y_{0} + v_{A_{y}}t - \frac{1}{2}gt^{2}[/tex] (2)
By entering equation (1) into equation (2):
[tex]y_{f} = y_{0} + v_{A_{y}}*(\frac{v_{A_{y}} - v_{B_{y}}}{g}) - \frac{1}{2}g(\frac{v_{A_{y}} - v_{B_{y}}}{g})^{2}[/tex] (3)
Since [tex]v_{A_{x}} = v_{B_{x}} [/tex] because there is no acceleration in the horizontal movement, we have:
[tex] v_{A}sin(15) = v_{B}sin(12) [/tex]
[tex] v_{A} = \frac{v_{B}sin(12)}{sin(15)} [/tex] (4)
Taking:
[tex]y_{f}[/tex] = 0
[tex]y_{0}[/tex] = 0.2 m
g = 9.81 m/s²
[tex]v_{A_{y}} = v_{A}cos(15)[/tex]
[tex]v_{B_{y}} = v_{B}cos(12)[/tex]
Entering the above values and equation (4) into equation (3) we have:
[tex] -0.4 m*9.81 m/s^{2} = (\frac{v_{B}sin(12)cos(15)}{sin(15)})^{2} - (v_{B}cos(12))^{2} [/tex]
By solving the above quadratic equation:
[tex]v_{B} = 3.33 m/s [/tex]
Hence, the velocity of the ball [tex]v_{B}[/tex] is 3.33 m/s.
Now, we can find [tex]v_{A}[/tex] by using equation (4):
[tex]v_{A} = \frac{v_{B}sin(12)}{sin(15)} = \frac{3.33 m/s*sin(12)}{sin(15)} = 2.68 m/s [/tex]
Then, the value of v₀ of the ball is 2.68 m/s.
Finally, to find the distance between point A and point B we need to calculate the time by using equation (1):
[tex]t = \frac{v_{A_{y}} - (-v_{B_{y}})}{g} = \frac{v_{A_{y}} + v_{B_{y}}}{g}[/tex]
The minus sign in [tex]v_{B_{y}}[/tex] is because the vertical component of the vector is negative.
[tex] t = \frac{v_{A_{y}} + v_{B_{y}}}{g} = \frac{2.68 m/s*cos(15) + 3.33 m/s*cos(12)}{9.81 m/s^{2}} = 0.60 s [/tex]
Now, the distance is:
[tex] x = v_{0}*t = 2.68 m/s*0.60 s = 1.61 m [/tex]
I hope it helps you!
A buffer amplifier with a gain of 1 V/V has an input resistance of 1 M and an output resistance of 20. It is connected between a 1-V, 200-k source and a 100-Ω load. What load voltage results? What are the corresponding voltage, current, and power gains (in dB)?
Answer:
The Load Voltage is 0.7 v
the corresponding voltage is - 3.098 dB
the corresponding current gain is 78.48 dB
the corresponding POWER gain is 37.7 bB
Explanation:
Given the diagram;
in the circuit of 1 MΩ and 200 KΩ are in series
also 20 Ω and 100 Ω are in series;
so
V₀ = [ (1V×1MΩ)/(1MΩ+200KΩ)] × [ (1V×100Ω)/(100Ω+20Ω)]
V₀ = 0.7 v
The Load Voltage is 0.7 v
Now considering the formula to find Voltage Gain
A_v = V₀ / V_i
we substitute
A_v = 0.7 / 1
A_v = 0.7 V/V
to convert to dB
A_v (dB) = 20logA_v
= 20log0.7
= - 3.098 dB
the corresponding voltage is - 3.098 dB
To determine the current gain
A_i = V₀/100Ω × 1.2MΩ/V_i
= 0.7/100Ω × 1.2MΩ/1
= 8400 A/A
to convert to dB
A_I (dB) = 20logA_I
= 20log8400
= 78.48 dB
the corresponding current gain is 78.48 dB
To determine the power gain
P_G = V₀²/100Ω × 1.2MΩ/V_i²
= 0.49/100Ω × 1.2MΩ/1
= 5880 W/W
to convert to dB
P_G (dB) = 10logP_G
= 10log5880
= 37.7 bB
the corresponding POWER gain is 37.7 bB
Which of the following is the use and study of liquid fluids and their motions, properties, behaviors, and interactions?
O pneumatics
O hydraulics
O torque
O fluid power
Answer:
hydraulics
Explanation:
Answer:
b
Explanation:
Assignment V: Discussion Forum-Take-Aways 33 unread replies.33 replies. During the semester, we have studied a wide range of topics related to behavior in organizations. Each module in the course began with a survey that examined your assumptions regarding its associated domain area. Material for that module either confirmed or challenged your assumptions. For this discussion forum (which is graded), choose one course module where your assumptions were confirmed and one where your assumptions were challenged. For the module where your assumptions were confirmed: Explain how and why they were confirmed and list three specific ways in which your knowledge of organizations was enhanced--that is, three take-aways For the module where your assumptions were challenged: explain how and why they were challenged and list three specific ways in which your knowledge of organizations was enhanced--that is, three take-aways"leadership"
Which sentence is correct about the exergy of an empty (pressure around zero Pascal) tank with a volume of V, located in an environment with a pressure and temperature of P0 and T0?
a. The exergy of the tank is positive and equal to PoV.
b. Since the system receives work from the environment the exergy of the tank is negative and equal to -PoV
c. The exergy of the tank can be anything between zero to PoV.
d. Since the pressure of the tank is almost zero the tank has no exergy.
Answer:
The correct option is;
c. the exergy of the tank can be anything between zero to P₀·V
Explanation:
The given parameters are;
The volume of the tank = V
The pressure in the tank = 0 Pascal
The pressure of the surrounding = P₀
The temperature of the surrounding = T₀
Exergy is a measure of the amount of a given energy which a system posses that is extractable to provide useful work. It is possible work that brings about equilibrium. It is the potential the system has to bring about change
The exergy balance equation is given as follows;
[tex]X_2 - X_1 = \int\limits^2_1 {} \, \delta Q \left (1 - \dfrac{T_0}{T} \right ) - [W - P_0 \cdot (V_2 - V_1)]- X_{destroyed}[/tex]
Where;
X₂ - X₁ is the difference between the two exergies
Therefore, the exergy of the system with regards to the environment is the work received from the environment which at is equal to done on the system by the surrounding which by equilibrium for an empty tank with 0 pressure is equal to the product of the pressure of the surrounding and the volume of the empty tank or P₀ × V less the work, exergy destroyed, while taking into consideration the change in heat of the system
Therefore, the exergy of the tank can be anything between zero to P₀·V.
How many gallons of 25% concentrated due will Lucy need to add to the 15% concentrated dye to make a batch with a concentration of 23%?
Complete question is;
Lucy works for a company that manufactures liquid dyes for fabric. She currently wants to mix up some 23%-concentrated teal dye. She has 16 gallons of 15%-concentrated teal dye, as well as plenty of 25%-concentrated teal dye. How many gallons of the 25%-concentrated teal dye will Lucy need to add to the 15%-concentrated teal dye to make a batch with a concentration of 23%?
Answer:
64 gallons
Explanation:
We are given;
Quantity of 15%-concentrated teal dye = 16 gallons
Let the number of gallons of 25%-concentrated teal dye needed to add to make the batch with a concentration of 23% be represented as x.
Thus;
(15% × 16) + (25%)x = 23%(16 + x)
Multiply each term by 100 to give;
(15 × 16) + 25x = 23(16 + x)
240 + 25x = 368 + 23x
Rearranging, we have;
25x - 23x = 368 - 240
2x = 128
x = 128/2
x = 64
Which option shows the three main steps of the design process?
O sketch ideas, formulate a plan, create a prototy pe
O identify the need, create a concept, provide a product
O find an engineer, outsource manufact uring, create a prototype
O create a prototype, test at trade shows, create the product on large scale
Answer:
O 2 no cap 192882822882282
Answer:
B.) Identify the need, create a concept, provide
Explanation:
edge
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Answer:
thats a really cool design or whatever you got there.
Explanation:
niceeeeeeee :)
Question #6 Fill in the Blank Complete the following sentence. The term describes initiatives and products that preserve the environment
Answer:
The term "green" describes initiatives and products that preserve the environment
Explanation:
In order to preserve the environment the Environmental Protection Agency has provides tips for "Being Green on the Road", which highlights the topics including, Green Vehicle Guides, guides for Fuel Economy, guides for Clean Diesel and many more ways our environmental footprint can be reduced
A green economy is an economy that focuses on the reduction of risk of economic activity on the environment, such as the reduction of carbon emission and reduction in environmental pollution, biodiversity loss prevention, and promotes a sustainable development
A green tech aims to protect the environment and to reverse previous damage done to the environment, including technology for clean energy, water purification, and waste recycling.
Answer:
The correct answer is stressor. The durability of building products and structures is affected by stressors such as rain, heat, snow, and hurricanes. Construction standards consider these potential stressors.
A rotating shaft is subjected to a steady torsional stress of 13 ksi and an alternating bending stress of 22 ksi.
(A) Find the yielding factor of safety using the distortion energy theory.
(B) Find the fatigue factor of safety using the Goodman criterion. A shaft has the properties of Se= 35 ksi, Sy = 60 ksi, and Sut = 85 ksi.
Answer:
A) б1 = 28 ksi and б2 = -6.02 ksi
B) 1.25
Explanation:
Given data :
Torsional stress = 13 ksi
Alternating bending stress = 22ksi
A) determine yielding factor of safety according to the distortion energy theory
б1,2 = [tex]\frac{22}{2}[/tex] ± √(22/2)² + 13²
= 11 ± 17
therefore б1 = 28 ksi hence б2 = -6.02 ksi
B) determine the fatigue factor of safety
with properties ; Se = 35ksi, Sy = 60 ksi, Sut = 85 ksi
( б1 - б2 )² + ( б2 - б3 )² + ( б3 - б1 )² ≤ 2 ( Sy / FOS ) ²
( 28 + 6.02 ) ² + ( 6.02 - 0 )² + ( 0 - 28 )² ≤ 2 ( 60 / FOS ) ²
solving for FOS = 1.9
Next we can determine FOS with the use of Goodman criterion
бm / Sut + бa / Se = 1 / FOS
= 0 / 85 + 28/35 = 1 / FOS
making FOS the subject of the equation ; hence FOS = 1.25
I tried this question but my teacher said it was wrong so Can y’all describe y’all’s answers to this question
Answer:
R=v/i.... So V=R*i=10*1.7=17 volt
Which of the following identifies how an engineer includes interior designs?
O An internal view is used by scalinga drawing to the exact dimensions.
OA crisscross replica is made of the design prototype to show the interior view.
O An internal design is not necessary until a machinist has created the design.
OAsketch is included to show interior designs using a technique called sectioning.
Answer:
i know this one well hypotheticly what if i where to say it was 0 b
Answer:
A sketch is included to show interior designs using a technique called sectioning.
Explanation:
a. Briefly describe the microstructural difference between spheroidite and tempered martensite. Explain why tempered martensite is much stronger.
b. Explain why tempered martensite is much harder and stronger.
Answer:
Answered below.
Explanation:
A) Both spheroidite & tempered martensite possess sphere - like cementite particles within their microstructure known as a ferrite matrix. However, the difference is that these particles are much larger for spheroidite than tempered.
B) Tempered martensite is much harder and stronger than spheroidite primarily because there is much more ferrite - cementite phase boundary area for its sphere - like cementite particles.
This is because the greater the boundary area, the more the hardness.
You may turn left on a light that is green, however, you must yield the right-of-way if other traffic is approaching from the opposite direction
Schrodinger equation is a ........... Equation
Answer:
linear partial differential
Explanation:
The Schrödinger equation is a linear partial differential equation that describes the wave function or state function of a quantum-mechanical system. It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of the subject.
3. Which of the following statements is false?
a. The condenser is normally mounted just in front of the radiator.
b. The receiver/dryer is a storage tank for the liquid refrigerant from the condenser.
c.An accumulator is not used in a system with a receiver/dryer.
d All of the above
Answer: c.An accumulator is not used in a system with a receiver/dryer
Explanation:
In a refrigeration system, a condenser is used to transfer heat and this occurs from the refrigerant to the air or water.
Then, the refrigerant then condenses to liquid when the hear has been transferred.
We should note that the condenser is normally mounted in front of the radiator. The receiver/dryer is a storage tank for the liquid refrigerant from the condenser.
The statement that an accumulator is not used in a system with a receiver/dryer is not true. This is because, the accumulator gives protection to the compressor which helps to prevent the failure of the compressor.
Therefore, the answer is C.
Training is a way for employers to provide
to enable employees to protect themselves and others from injuries
Answer:
Tools.
Explanation:
The Occupational Safety and Health Administration (OSHA) is a federal agency saddled with the responsibility of assuring and ensuring safe and healthy working conditions for employees by setting and enforcing standards, providing education, trainings and assistance to various organizations.
According to the Occupational Safety and Health Administration (OSHA), trainings on the adoption and application of safety precautions (tools) such as wearing a personal protective equipment e.g masks (respirators), ear plugs, safety boots, gloves, helmet, etc. are very important and are essentially to be used by employees (workers) while working in a hazard prone environment or industries. Therefore, all employers of labor are required to provide tools and ensure that their employees properly use those tools, as well as abide by other safety precautions and standards.
Hence, training is a way for employers to provide tools to enable employees to protect themselves and others from injuries.
A 1,040 N force is recorded on a hemispherical vane as it redirects a 2.5 cm- blade diameter water jet through a 180 angle. Determine the velocity of the flowing water jet if the blade diameter water jer through a 180' angle. Determinethe velcity of the flowing water jet if is assumed to be frictionless.
This question is incomplete, the complete question is;
A 1,040 N force is recorded on a hemispherical vane as it redirects a 2.5 cm- blade diameter water jet through a 180 angle.
Determine the velocity of the flowing water jet if the blade is assumed to be frictionless.
Answer: the velocity of the flowing water jet is 32.55 m/s assuming the blade is frictionless
Explanation:
Given that;
Force Ft = 1040 N
diameter d = 2.5 cm = 0.025 m
we know that; force acting on Hemispherical plate is;
Ft = 2δav²
where
a is area = π/4(0.025)²
δ is density of water = 1000 kg/m³
v is velocity = ?
now we substitute
1040 = 2 × 1000 × (π/4(0.025)²) × v²
1040 = 0.9817v²
v² = 1040 / 0.9817
v² = 1059.3867
v = √1059.3867
v = 32.5482 ≈ 32.55 m/s
Therefore the velocity of the flowing water jet is 32.55 m/s assuming the blade is frictionless
How large a force is required to accelerate a 1300 kg car from rest to a speed of 20 m/s in a distance of 80 m?
F=m*a
F=80*20
F =1600 ans"
Answer: basically we are asked to find it's force and the formula that helps us to find force is Force= Mass× Acceleration
so let's put out the given and what we need to find
GIVEN. Solution
F=m.a
Mass= 1300. F=1300kg×20m/s
speed (Acceleration)=20m/2. F=26000Kg.m/s
Force=? F=26000N
N stands for Newton and the reason that it comes Newton is because it is the SI-unit of Force and the result of kg×m/s.
Ans. 18).
A push of 180 N and pull of 350 N act simultaneously at a point. Find the resultant of the
forces. if the angle between them (135)
Explanation:
R = √(A²+B²–2ABCos(x°))
x⁰ = 180–135
x° = 45°
R = √(350²+180²–2(350(180))Cos(45)))
R = 256.524
determine the wattmeter reading when it is connected to resistor load.
Answer:
Each wattmeter measures a line-to-line voltage between two of the three power supply lines. In this configuration, the total power, watts is accurately measured by the algebraic sum of the two wattmeter values. Pt = P1 + P2. This holds true if the system is balanced or unbalanced.
Tech A says that you can test for defective ignition wires by using a spray bottle and water. Tech B says that you can test for defective ignition wires with a grounded test lead. Who is correct?
A) Tech A
B) Tech B
C) Both Techs A and B
D) Neither Tech A nor B
Answer: C) Both Techs A and B
Explanation:
Technician A and Technician B are both very right. Using a spray bottle and water, the ignition wire test can be carried out using any of the methods described above. Or, by using a grounded test lead that is connected to a multimeter, you can also conduct the test for faulty ignition wires.
Answer: Either A or B
Explanation:
Which two statements about professional technical jobs in the energy industry are correct?
A. Energy careers offer limited prospects.
B. Certifications are often necessary to be employed in the energy sector.
C. Continuing education and certifications must be done in a classroom setting.
D. Continuing education is important to have a long-term energy career.
E. Energy technology is static.
Answer: the answer is B and D
Explanation:
A 1/20 scale model of a wing is used to determine forces on the actual airplane. the 1/20 scale refers to the:_____
a. lengths.
b. velocity.
c. forces.
d. Reynolds number.
e. all of the above.
Answer:
A Lengths
Explanation:
you make a model to show an object too large to test and too expensive to test
Answer:
a. lengths.
Explanation:
The scale can be said to be a representation of the model as regards the prototype. The prototype is the machine. Using a 1:20 scale tells us that the model is 1/20 times the magnitude of the length of this machine. So if the length of the side of the machine = 20m then we would have the length of the model as 1. (1/20x20 = 1)
Therefore the scale is the length and option a is correct
Suppose that the following eight jobs must be scheduled through a car repair facility (repair times are shown in days): Car Repair (Processing) Time Due Date A 3 11 B 10 9 C 7 10 D 12 8 E 4 17 F 15 35 G 8 13 H 9 23 Use the information in the above table to answer these questions (you may use a s/heet if you wish): What car is repaired the latest (the most past its due date) if an SPT ( shortest processing time) sequence is to be obeyed? What car is repaired the latest (the most past its due date ) if an EDD (earliest due date) scheduling sequence is to be obeyed?
Answer:
The answer is "F".
Hope this helped!
what is 7/8 + 1/2 on a ruler
Answer:
11/8
Explanation:
7/8+4/8=11/8 if you want it on a ruler you need to go online and type fraction to decimal converter and put in 11/8 into a decimal
Who is responsible for providing working conditions which are free from fall dangers?
Answer:
I am pretty confident it is the Employer!
Explanation:
They have the responsibility to provide a safe workplace that is free from serious hazards, according to the General Duty Clause of the OSH Act (OSHA Standards)
I hope this helped you!! :D
Answer:
Employers
Explanation:
OSHA requires employers to: Provide working conditions that are free of known dangers. Keep floors in work areas in a clean and, so far as possible, a dry condition. Select and provide required personal protective equipment at no cost to workers.
Creep occurs by:_________
a. constant stress at room temperature
b. high temperatures over 1000°C
c. constant stress at temperatures over 0.5 TM in K
d. none of these
Answer:
The answer is "Option C".
Explanation:
The creep depends on temperature and stress whenever the temperature rise, for failure generosity, its core symptoms can be increased between about 0,5 and 0,7 TM in k (melting point of temperature). It is indeed a metal puncturing type, typically at high temperatures with stresses below the yields of a metal.
Explanation:
Creep occurs by constant stress at temperatures over 0.5 TM in K.
Creep is a phenomenon in which a material or an object is elongated over a time period under constant temperature and stress for a long period of time. For example, a belt used for a year or so, is elongated.
For a turbine, it is seen that work is done by the fluid at the expense of its enthalpy. Explain with mathematical proof.
Answer:
The work of the turbine is done at the expense of the enthalpy of the fluid.
Explanation:
Ideally speaking, a turbine is a steady-state devices that has no heat interactions and generates works at the expense of enthalpy. By the First Law of Thermodynamic, we have the following definition for steady-state conditions: (all energy components are measured in joules)
[tex]E_{in} - E_{out} + E_{gen} = 0[/tex] (1)
Where:
[tex]E_{in}[/tex] - Inlet energy.
[tex]E_{out}[/tex] - Outlet energy.
[tex]E_{gen}[/tex] - Generated energy.
Generated energy is associated with endothermic and exothermic chemical reactions and fission processes in radioactive elements and isotopes. Since fluids used in turbines are usually inert, the generated energy is zero and each remaining componets of the expression are defined:
[tex]E_{in} = U_{g,in}+K_{in}+H_{in}[/tex] (2)
[tex]E_{out} = U_{g,out}+K_{out}+H_{out}+W_{out}[/tex] (3)
Where:
[tex]U_{g,in}[/tex], [tex]U_{g,out}[/tex] - Inlet and outlet gravitational potential energies.
[tex]K_{in}[/tex], [tex]K_{out}[/tex] - Inlet and outlet translational kinetic energies.
[tex]H_{in}[/tex], [tex]H_{out}[/tex] - Inlet and outlet enthalpies.
[tex]W_{out}[/tex] - Energy generated by the turbine.
Usually, turbines at steady state does not report significant changes in translational and gravitational potential energies and (2) and (3) can be reduced into this form:
[tex]E_{in} = H_{in}[/tex] (2b)
[tex]E_{out} = H_{out}+W_{out}[/tex] (3b)
And we find the following equation of work by substituting on (1):
[tex]W_{out} = H_{in}-H_{out}[/tex] (4)
In a nutshell, the work of the turbine is done at the expense of the enthalpy of the fluid.
A 1-ft rod with a diameter of 0.5 in. is subjected to a tensile force of 1,300 lb and has an elongation of 0.009 in. The modulus of elasticity of the material is most nearly:
Answer:
E = 8.83 kips
Explanation:
First, we determine the stress on the rod:
[tex]\sigma = \frac{F}{A}\\\\[/tex]
where,
σ = stress = ?
F = Force Applied = 1300 lb
A = Cross-sectional Area of rod = 0.5[tex]\pi \frac{d^2}{4} = \pi \frac{(0.5\ in)^2}{4} = 0.1963\ in^2[/tex]
Therefore,
[tex]\sigma = \frac{1300\ lb}{0.1963\ in^2} \\\\\sigma = 6.62\ kips[/tex]
Now, we determine the strain:
[tex]strain = \epsilon = \frac{elongation}{original\ length} \\\\\epsilon = \frac{0.009\ in}{12\ in}\\\\\epsilon = 7.5\ x\ 10^{-4}[/tex]
Now, the modulus of elasticity (E) is given as:
[tex]E = \frac{\sigma}{\epsilon}\\\\E = \frac{6.62\ kips}{7.5\ x\ 10^{-4}}[/tex]
E = 8.83 kips