A stone is catapulted at time t = 0, with an initial velocity of magnitude 21.1 m/s and at an angle of 39.9° above the horizontal. What are the magnitudes of the (a) horizontal and (b) vertical components of its displacement from the catapult site at t = 1.08 s? Repeat for the (c) horizontal and (d) vertical components at t = 1.75 s, and for the (e) horizontal and (f) vertical components at t = 5.09 s. Assume that the catapult is positioned on a plain horizontal ground.
Answers
Answer:
(a) X = 17.48 m
(b) Y = 8.903 m
(c) X = 28.33 m
(d) Y = 8.68 m
(e) X = 44.68 m
(f) Y = 0 m
Explanation:
Given;
magnitude of initial velocity, v = 21.1 m/s
angle of projection, θ = 39.9°
the horizontal component of the velocity, \(v_x = vcos \theta\)
\(v_x = 21.1(cos 39.9^0) = 16.187 \ m/s\)
the vertical component of the velocity, \(v_y = vsin \theta\)
\(v_y = 21.1(sin 39.9^0) = 13.535 \ m/s\)
(a) the horizontal components of its displacement;
\(X = v_xt + \frac{1}{2} gt^2\)
gravitational influence on horizontal direction is negligible, g = 0
\(X = v_xt \\\\X = (16.187)(1.08)\\\\X = 17.48 \ m\)
(b) the vertical components of its displacement;
\(Y = v_yt + \frac{1}{2} gt^2\\\\Y = (13.535*1.08) + \frac{1}{2} (-9.8)(1.08)^2\\\\Y = 14.618 -5.715\\\\Y = 8.903 \ m\\\)
(c) the horizontal components of its displacement;
\(X = v_xt\\\\ X = (16.187)(1.75)\\\\X = 28.33 \ m\)
(d) the vertical components of its displacement;
\(Y = v_yt + \frac{1}{2} gt^2\\\\Y = (13.535 *1.75) + \frac{1}{2} (-9.8)(1.75)^2\\\\Y = 8.68 \ m\)
(e) the horizontal components of its displacement;
\(X = v_xt \\\\X = (16.187*5.09)\\\\X = 82.39 \ m\\\)
(f) the vertical components of its displacement;
\(Y = v_yt + \frac{1}{2}gt^2\\\\ Y = (13.535*5.09)+ \frac{1}{2}(-9.8)(5.09)^2\\\\Y = -58.1 \ m\)
this displacement is not possible because it is beyond zero vertical level; it shows that the stone will hit the ground before 5.09 s.
When the stone hits the ground Y = 0 m
At zero vertical displacement (Y = 0 m), the time at that position will be calculated as;
\(Y = v_yt+\frac{1}{2}gt^2\\\\0 = (13.535t) + \frac{1}{2}(-9.8)t^2\\\\0= 13.535t - 4.9t^2\\\\0 = t(13.535-4.9t)\\\\t = 0 \ \ or \\\\13.535-4.9t = 0\\\\4.9t = 13.535\\\\t = 2.76 \ s\)
The horizontal displacement at this time is given by;
X = vₓt
X = (16.187 x 2.76)
X = 44.68 m
Related Questions
Based on the following passage, why might the government use the U.S. Army Corps of Engineers to undertake hydroelectric power projects instead of allowing private businesses to undertake them?
Before World War I, most power projects were developed by private interests. During the Great Depression, president Franklin Roosevelt developed federal hydropower projects to give low-cost energy to consumers. The U.S. Army Corps of Engineers undertook three major hydroelectric power projects during this era: the Bonneville Dam on the Columbia River, the Fort Peck Dam on the Missouri River, and the Passamaquoddy Tidal Power Project in Maine. Congress organized the Bonneville Power Administration in 1937 to distribute the power and set usage rates for all power generated at Bonneville Dam.
Hydroelectric power is closely linked to national security.
Private businesses are by law disallowed from engaging in hydroelectric power projects.
The government would have less power to control the cost of electricity from privately funded projects.
Private businesses have less expertise in hydroelectric power than the U.S. Army Corps of Engineers.
Answers
Answer:
The government would have less power to control the cost of electricity from privately funded projects.
Explanation:
According to the given excerpt, the government, the government decided to take over most of the hydroelectric power projects as opposed to privately owned corporations which previously held a monopoly. The major reason was to provide low-cost energy to consumers.
This decision taken by the government to use the Army Corps of Engineers to undertake hydroelectric power projects instead of allowing private businesses to undertake them was to allow the government have more power to control the cost of electricity.
Provide five strategies to stimulate brainstorming. (according to PLTW)
Answers
Answer:
Doing associative brainstorming
Allow all members who have an opinion or comment to contribute
You cannot criticize someone or there judgment on a topic
Always encourage someone if they need help with something and give input
Let everyone talk and share there solutions
Explanation:
Overall it’s good to do the things I have listed above because it can help you in planning.
Answer:
We often call these prewriting strategies “brainstorming techniques.” Five useful strategies are listing, clustering, freewriting, looping, and asking the six journalists' questions. These strategies help you with both your invention and organization of ideas, and they can aid you in developing topics for your writing.
the amount of current in an incandescent bulb rated 75w 120v is about
Answers
The current in the incandescent bulb is approximately 0.625 Amperes (A).
An incandescent light bulb, incandescent lamp or incandescent light globe is an electric light with a wire filament heated until it glows. The filament is enclosed in a glass bulb with a vacuum or inert gas to protect the filament from oxidation.
The amount of current in an incandescent bulb rated at 75W and 120V can be calculated using Ohm's Law, which states that current (I) is equal to power (P) divided by voltage (V).
Using this formula, the current can be calculated as:
I = P / V
I = 75W / 120V
Know more about incandescent bulb here:
https://brainly.com/question/230401
#SPJ11
Consider an amplifier having a midband gain A_M and a low-frequency response characterized by a pole at s = - omega_L and a zero at s = 0. Let the amplifier be connected in a negative-feedback loop with a feedback factor beta. Find an expression for the midband gain and the lower 3-dB frequency of the closed-loop amplifier. By what factor have both changed?
Answers
The lower 3-dB frequency, omega_LCL, of the closed-loop amplifier can be calculated using the formula: omega_LCL = omega_L / (1 + A_M * beta)
Find expression for closed-loop midband gain and lower 3-dB frequency in an amplifier with negative feedback.When an amplifier is connected in a negative-feedback loop, the closed-loop gain and frequency response are affected.
The midband gain of the closed-loop amplifier is reduced compared to the open-loop gain due to the negative feedback.
The closed-loop gain is inversely proportional to the feedback factor beta and the open-loop gain A_M.
Similarly, the lower 3-dB frequency is shifted to a lower value in the closed-loop amplifier compared to the open-loop amplifier.
The shift in frequency is determined by the pole frequency omega_L and the open-loop gain A_M. The closed-loop frequency response is also affected by the feedback factor beta.
The factor (1 + A_M ˣ beta) represents the overall change in both the midband gain and the lower 3-dB frequency of the closed-loop amplifier.
Learn more about closed-loop amplifier
brainly.com/question/29645942
#SPJ11
An 18-in square concrete column carries a factored ultimate compressive load of 640 k. It is to be supported on a 8 ft wide 12 ft long rectangular spread footing. Using a concrete mix design that provides a compressive strength of 3,000 psi and using a36 structural steel alloy that provides yield stress of 60,000 psi, determine the required footing thickness and design the flexural reinforcing steel. Show the results of your design in a sketch. Check for both one-way and two-way shear
Answers
An 18-inch square concrete column with a 640 k factored ultimate compressive load requires a well-designed spread footing. Utilizing a concrete mix with a 3,000 psi compressive strength and A36 structural steel alloy (yield stress of 60,000 psi), we can determine the required footing thickness and flexural reinforcing steel design.
To find the footing thickness, we use the formula: T = √(Ultimate Load / (0.17 x 3000 x 8 x 12)). Then, we calculate the steel reinforcement using the formula: As = (0.85 x 3000 x b x d) / (60,000). Next, we check for one-way and two-way shear using appropriate formulas and verify that the design meets the requirements.
Upon completing the calculations, we sketch the footing design, indicating the thickness, reinforcement details, and column placement to ensure stability and support.
learn more about spread footing here:
https://brainly.com/question/24052815
#SPJ11
A homeowner has enough money to hire four workers for the construction of a second kitchen in his basement. He has already hired an electrician, a plumber, and a terrazzo worker. What other worker should he hire and why?
a cabinetmaker, because cabinets will need to be built and installed
a general carpenter, because she can handle all of the other aspects of the project
a plasterer, because the kitchen will require drywall to be hung
a tile worker, because new flooring and a backsplash will need to be installed
Answers
He should hire a general carpenter, because she can handle all of the other aspects of the project.
Who or what is a carpenter general?In addition to creating exquisite trim and finish work, general carpenters provide the essential framework for concrete, exteriors, roofs, infrastructure, and scaffolding. These experts are in charge of making blueprints come to life; they work with a variety of materials in all types of structures.
What is the purpose of terrazzo?Terrazzo is a composite material that can be precast or poured in place and is applied to floors and walls. It is made up of glass, quartz, granite, or other suitable material chips that have been poured with a cementitious binder, a polymeric binder, or a combination of the two.
To know more about granite visit:-
brainly.com/question/12057584
#SPJ4
Can someone help me plz!!
Answers
what are the wind energy meausering devices define
Answers
Anemometer
Explanation:
An anemometer is a device used for measuring wind speed and direction. It is also a common weather station instrument. The term is derived from the Greek word anemos, which means wind, and is used to describe any wind speed instrument used in meteorology.
I need help on this ASAP PLZ?
Answers
Answer:
Explanation:
7. False
8. True
9. True
10.True
11. True
What is the primary goal of political parties in televised presidental debates?
to prove which party is best
to present potential candidates
to establish bipartisan agreements
to explain party platforms to voters
i believe it could be c or d, b is the wrong one edge 22
Answers
The primary goal of political parties in televised presidential debates is to: D. to explain party platforms to voters.
What is a political party?A political party can be defined as an organized group of individuals (people) who presumably share common political ideologies, aims, goals, vision, and strategies on how a country should be governed.
This ultimately implies that, a political party is an organization of people that are sharing similar political ideologies and it provides a platform for a chosen candidate to run as its sole representative in an election category.
In this context, the primary goal of political parties in televised presidential debates is to explain party platforms to the electorates or voters.
Read more on political parties here: https://brainly.com/question/26761164
It's D I just took the test
Edge 2023 :)
8) Microsoft Windows is
A. the most popular computer OS
B. a system software that manages computer
C. a collection of computer programs or applications along with its related data
Answers
Hope this helps
Page Title
Submit
Add a pair of radio buttons to your form, each nested in its own label element.
One should have the option of car and the other should have the option of bike.
Both should share the name attribute of “vehicle” to create a radio group
Make sure the radio buttons are nested with the form
Make sure that the name attributes appear after the type
Answers
Answer:
The code is as follows:
<form name = "myForm">
<div>
<input type="radio" name="vehicle" value="D0" id="D0"/>
<label for="D0">Car</label>
</div>
<div>
<input type="radio" name="vehicle" value="D1" id="D1"/>
<label for="D1">Bike</label>
</div>
</form>
Explanation:
This defines the first button
<input type="radio" name="vehicle" value="D0" id="D0"/>
<label for="D0">Car</label>
This defines the second button
<input type="radio" name="vehicle" value="D1" id="D1"/>
<label for="D1">Bike</label>
The code is self-explanatory, as it follows all the required details in the question
Which of the following devices has high resistance in the dark and low resistance when exposed to light
Answers
The local interlock system on a hybrid vehicle detects when ________ have been removed from high-voltage circuits.
Answers
The local interlock system on a hybrid vehicle detects when covers have been removed from high-voltage circuits.
What is a hybrid vehicle?A hybrid vehicle can be defined as a mechanical system that is designed and developed to use multiple sources of power such as fuel and batteries, so as to enable it move from one point to another.
By design, the local interlock system on a hybrid vehicle is designed and developed to detect when covers have been removed from high-voltage circuits.
Read more on hybrid vehicle here: https://brainly.com/question/3535024
#SPJ1
Greek engineers had the unenviable task of moving largecolumns from the quarries to the city.One engineer,Chersiphron, tried several different techniques to do this. Onemethodwas to cut pivot holes into the ends of the stone andthen use oxen to pull the column. The 5-ft diameter columnweighs 14,000 lbs, andthe team of oxen generates a constantpull force of 2,000 lbs on the center of the cylinder,G. Knowingthat the column starts from rest and rolls without slipping,determine:(a) the velocity of its center,G,after it has moved7ft,and (b) the minimum static coefficient of friction that will keepit from slipping.
Answers
Answer:
yea
Explanation:
okkudjeheud email and delete the electronic version of this communication
Consider flow in between two parallel plates located a distance H from each other. Fluid flow is driven by the bottom plate moving to the right with a velocity of U (note, NO pressure gradient). The top plate has a fixed temperature of TT and the bottom plate has a temperature of Tb. Starting with the governing equations for incompressible flow, find the velocity profile and the temperature profile for the flow in between the plates. In addition, what is an expression for the heat flux at the bottom plate (assuming a thermal conductivity of k)
Answers
Know but I would
Help you
does anyone know how i can make my LED lights be sticky again? they keep falling :/
Answers
A 32x10^-6 F capacitor is connected to a 60V AC supply in series with a 56 ohm resistor. The current flowing in the circuit is 0.16 A.
Calculate the frequency of the AC supply.
Answers
The frequency of the AC supply is 0.036 Hz.
What is the frequency?We know that an alternating current circuit is the kind of circuit in which we do have the resistor in addition to the to the capacitor or the inductor or both as the case may be.
Here we are told that; A 32x10^-6 F capacitor is connected to a 60V AC supply in series with a 56 ohm resistor. The current flowing in the circuit is 0.16 A.
We can tell that the impedance of the circuit can be obtained by the use of the formula;
V = IZ
V = voltage
I = current
Z = impedance
Z = V/I
Z = 60 V/0.16 A
Z = 375 ohms
Then we have;
Z = √R^2 - XC^2
375 = √(56)^2 - (1/2 * 3.142 * f * 32x10^-6)^ 2
140625 = 3136 - (1/2 * 3.142 * f * 32x10^-6)^ 2
140625 - 3136 = (1/2 * 3.142 * f * 32x10^-6)^ 2
137489 = 1/2 * 10^-4 f
137489 * 2 * 10^-4 f = 1
f = 1/137489 * 2 * 10^-4
f = 0.036 Hz
Learn more about AC supply:https://brainly.com/question/28566820
#SPJ1
the voltage valve at which a zirconia O2S switches from rich to lean and lean to rich is
A) 0.5v (500mv)
B) 0.45v (450mv)
C) 0.25v (250mv)
D) 0.90v (900)
Answers
Technician a s ays both an ohmmeter and a self-powered test light may be used to test for continuity. technician b says both may be used to test fuses. who is correct?
Answers
Both technicians A and B are accurate since, in technician B's opinion, both may be employed to test fuses.
What is continuity?Continuity describes how a function behaves at a specific point or portion. Continuity can be determined using the limit.
We can infer from the question: The expert says you can test for continuity with an ohmmeter and a self-powered test light. Technician B said that both may be used to test fuses.
As a result, both technicians A and B are accurate because, in technician B's opinion, both may be employed to test fuses.
The complete question is:
Technician A says both an ohmmeter and a self-powered test light may be used to test for continuity. Technician B says both may be used to test fuses. Who is correct?
Learn more about the continuity here:
https://brainly.com/question/15025692
#SPJ1
the most notable aspect in managing C/N for downlink designs is
Answers
Answer:
Explanation:
In satellite communications, downlink is the establishment of a communications link from an orbiting satellite down to one or more ground stations on Earth. Contrast with uplink.
An example of an external irreversibility associated with the Rankine cycle is
a. expansion of the working fluid through the turbine.
b. frictional effects resulting in pressure drops.
c. combustion of fuel.
d. irreversibilities in the pump.
Answers
An example of an external irreversibility associated with the Rankine cycle is combustion of fuel. Option C is correct.
What is the Rankine cycle?The Rankine cycle is defined as a modified thermodynamic cycle that describes how certain heat engines, such as steam turbines or reciprocating steam engines, extract mechanical work from a fluid as it passes between a heat source and a heat sink.
The Rankine cycle, also known as the Rankine Vapor Cycle, is a process that is widely used in power plants such as coal-fired power plants and nuclear reactors. The best example of an external irreversibility associated with the Rankine cycle is combustion of fuel.
Therefore, option C is correct.
Learn more about the Rankine cycle, refer to:
https://brainly.com/question/16836203
#SPJ1
the allowable shearing stress is 15 ksi in the 1.5-in.-diameter steel rod ab and 7.7 ksi in the 1.8-in.-diameter brass rod bc. neglecting the effect of stress concentrations, determine the largest torque t that can be applied at a.
Answers
The largest torque that can be applied at point A without exceeding the allowable shear stress for either rod is T=44.99 k-in.
The largest torque that can be applied at point A can be determined by using the equation for shear stress of a shaft:
τ=T/J
where τ is the shear stress, T is the applied torque, and J is the polar second moment of inertia.
For the 1.5-in.-diameter steel rod AB:
J=(π/32)D4
where D is the diameter of the rod, so for a 1.5-in. rod, J=(π/32)(1.5)4=3.704 in4.
So, the largest torque that can be applied at point A while maintaining a shear stress of 15 ksi is T=(15 ksi)(3.704 in4)=55.56 k-in.
For the 1.8-in.-diameter brass rod BC:
J=(π/32)D4
where D is the diameter of the rod, so for a 1.8-in. rod, J=(π/32)(1.8)4=5.848 in4.
So, the largest torque that can be applied at point A while maintaining a shear stress of 7.7 ksi is T=(7.7 ksi)(5.848 in4)=44.99 k-in.
Therefore, the answer is T=44.99 k-in.
Learn more about torque : https://brainly.com/question/20691242
#SPJ11
a weight of 20 lb is applied to a cylinder that is full of water. The Piston area is 4.5 inches squared. what is the pressure of the water? round to one "decimal" place.
Answers
Answer:
6.564 is the answers i learned that in the american school i live there
what values are returned during the following sequence of queue operations, if executed on an initially empty queue? enqueue(5), enqueue(3), dequeue(), enqueue(2), enqueue(8), dequeue(), dequeue(), enqueue(9), enqueue(1), dequeue(), enqueue(7), enqueue(6), dequeue(), dequeue(), enqueue(4), dequeue(), dequeue(). use the queue.py file to show the queue contents after every operation.
Answers
The values returned during the sequence of operations are 5, 3, 2, 8, 9, 1, 8, 4, and 6. The queue contents after every operation can be shown using the queue.py file.
Decribe the queue contents after every operation ?Initially, the queue is empty. The first operation enqueues the value 5, followed by enqueuing the value 3. The next operation dequeues the value 5, leaving the queue with only 3. Next, the values 2 and 8 are enqueued. The subsequent two operations dequeue the values 3 and 2, respectively, leaving the queue with only the value 8. The values 9 and 1 are enqueued, followed by dequeuing the value 8. The values 7 and 6 are enqueued, and then the values 9 and 1 are dequeued in that order. The value 7 is enqueued, followed by enqueuing the value 6. The next operation dequeues the value 4, and finally, the last operation dequeues the value 6. Therefore, the values returned during the sequence of operations are 5, 3, 2, 8, 9, 1, 8, 4, and 6. The queue contents after every operation can be shown using the queue.py file.
Learn more about queue contents
brainly.com/question/31318519
#SPJ11
Identify the Levels of Biological Organization below. Copy and answer each statement. Write
your answer on the answer sheet provided.
1. The basic unit of a chemical element
2. A group of atoms bonded together representing the smallest
unit that can take part in a chemical reaction.
3. Is a basic unit of life.
4. Group of similar cells that perform a function.
5. Group of tissues that work together to perform to perform
a specific function
6. A group of organs that work together to perform a
specific function.
7. An entire living thing that carries of the basic life functions.
Answers
Answer:
no idea
Explanation:
gvghvvvghhbbgggggggig gjgjg gjgbg gig gg bg GB g GB GB GB GB g GB GB GB of me and I am a diary and crewmate hide if you see a diary or not the other person is a non-electrolyte or no one vent the imposter win a diary or you can get any more confidently than you are in a spectacular place is the most important points to be mo to get skins and crewmate for a few days to be sure it will be the same for me it will take a while for a couple to get the right angle bu the other one is come to the end and then you have birds to get a lot more than a diary of a candle or no other one in a few weeks or no time to do it for me and my friend who has no idea how much time I have been to a new episodes and the best of all the time I am going sleep
An engineer is designing a database for college course information and has created the following tables.
Major ID Major Name
10299313 Physics
10234952 Music
Class ID Class Name Major ID
58995855 Astronomy 10299313
58993213 Fine Art 10234952
In the above excerpt, the bolded Major ID field is an example of which of the following?
Network
Source
Relationship
Record
Answers
The bolded Major ID field is an example of a Relationship in the given excerpt. So, the correct answer is Relationship.
The relationship is defined as the link between the tables in a database. The relationship between tables is established by matching the data in key columns, also called linked fields or join queues. The relationship allows data from different tables to be combined and presented as a single view. A primary ID is assigned to a specific major; for example, 10299313 is assigned to Physics, and 10234952 is set to Music in the excerpt. The Major ID field links or establishes a relationship between the tables in the database. Thus, the bolded Major ID field is an example of a Relationship in the given excerpt.
Learn more about Major ID Field here: https://brainly.com/question/30407896.
#SPJ11
Could someone please help me
Answers
The angular velocity is ω = VA/L and the qngular acceleration is α = -g/L
How to calculate the valueThe velocity of end A can be expressed as:
VA = Lω
where L is the length of the bar and ω is the angular velocity.
The acceleration of end A can be expressed as:
aA = Lα
where L is the length of the bar and α is the angular acceleration.
We can see from the diagram that the acceleration of end A is equal to the acceleration due to gravity, minus the centripetal acceleration.
aA = g - Lω²
Substituting VA = Lω into the equation for aA, we get:
g - Lω² = Lα
Solving for ω, we get:
ω = VA/L
Substituting ω = VA/L into the equation for aA, we get:
α = -g/L
Learn more about velocity on
https://brainly.com/question/80295
#SPJ1
Two stepped bar is supported at both ends.At the join point of two segments,the force F is applied(downwards).Calculate reactive forces R1 and R3 at the supports.What is value of absolute maximal stress?
Choose one answer nearest your result.
given= d1=10mm d2=20mm L1=20mm L2=10mm E=200GPa F=20kN
Answers
Answer:
F=200kN
Explanation:
for a 64-kbyte, 2-way set associative cache, with 32-byte cache blocks, study the cache miss rate for the following loops, assuming:
Answers
A computer has a 256 KByte, 4-way set, write-back, associative data cache with a 32 byte block size. Examine the cache miss rate for the following loops for a 64-kbyte, 2-way set associative cache with 32-byte cache blocks.
What is 64-kbyte?
The block size of 8 words is used to create a 16 KB 4-way set-associative cache memory unit. Miss rate is plotted against cache size and associativity level; as block size is increased past 64 bytes, miss rate increases. However, we currently have a 4-way set associative cache of 128 KB. Since cache lines are 32 bytes and each route is 32 KB.
The second-level cache has a total capacity of 2MBytes and is divided into 32-Byte blocks. It is a two-way set associative, write-back, write-allocate cache. The miss-rate analysis.
To learn more about 256 KByte from given link
brainly.com/question/13266930
#SPJ4