The equations of motion for the Cart-Pendulum system can be derived using both Newton's 2nd Law and Lagrange's Methods.
The Cart-Pendulum system consists of a pendulum attached to a cart. To derive the equations of motion using Newton's 2nd Law, the forces acting on both the pendulum and the cart are considered. The equation of motion for the cart can be written as F = ma, where F is the net force acting on the cart, m is its mass, and a is its acceleration. For the pendulum, the torque caused by gravity is considered and the equation of motion can be written as T = Iα, where T is the torque, I is the moment of inertia, and α is the angular acceleration.
Using Lagrange's method, the Lagrangian function is first defined by considering the kinetic and potential energies of the system. The Euler-Lagrange equation is then used to derive the equations of motion. The advantage of this method is that it can be applied to more complex systems with multiple degrees of freedom.
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What causes a liquid to freeze? A. When particles speed up and get closer together. B. When particles stop moving. C. When particles slow down and get closer together. D. When particles speed up and get farther apart.
Answer:The answer is C
Explanation:
4. A group of students made a rocket and launched it vertically upwards with velocity
of 27ms^-1. What is the total distance travelled by the
rocket?
[Assume g=10ms^2]
Answer:
Approximately [tex]72.9\; \rm m[/tex], assuming that the rocket had no propulsion onboard, and that air resistance on the rocket is negligible.
Explanation:
Initial velocity of this rocket: [tex]u = 27\; \rm m\cdot s^{-1}[/tex].
When the rocket is at its maximum height, the velocity of the rocket would be equal to [tex]0[/tex]. That is: [tex]v = 0\; \rm m \cdot s^{-1}[/tex].
The acceleration of the rocket (because of gravity) is constantly downwards, with a value of [tex]a = -g = -10\; \rm m \cdot s^{-2}[/tex].
Let [tex]x[/tex] denote the distance that the rocket travelled from the launch site to the place where it attained maximum height. The following equation would relate [tex]x \![/tex] to [tex]u[/tex], [tex]v[/tex], and [tex]a[/tex]:
[tex]\displaystyle x = \frac{v^2 - u^2}{2\, a}[/tex].
Apply this equation to find the value of [tex]x[/tex]:
[tex]\begin{aligned} x &= \frac{v^2 - u^2}{2\, a} \\ &= \frac{\left(0\; \rm m\cdot s^{-1}\right)^{2} - \left(27\; \rm m \cdot s^{-1}\right)^{2}}{2 \times 10\; \rm m \cdot s^{-2}} = 36.45\; \rm m\end{aligned}[/tex].
In other words, the maximum height that this rocket attained would be [tex]36.45\; \rm m[/tex].
Again, assume that the air resistance on this rocket is negligible. The rocket would return to the ground along the same path, and would cover a total distance of [tex]2\times 36.45\; \rm m = 72.9\; \rm m[/tex].
which two criteria are least important for engineers to consider when developing a process to produce an important chemical
Answer:
Chemical engineering is a multi-disciplinary branch of engineering that combines natural and experimental sciences such as chemistry and physics, along with life sciences such as biology, microbiology and biochemistryplus mathematics and economics to design, develop, produce, transform, transport, operate
Explanation:
Answer:
A. the process needs to produce significant amounts of ammonia
C. the process needs to be able to be performed safely
Explanation:
a p e x
Which of the following would decrease the overall force felt between two charges the most?
Question 9 options:
A. Doubling the charge on the first object
B. Doubling the charge on the second object
C. Doubling the distance between the charges
If one charge is tripled and the other is cut in half, what happens to electric force?
Question 10 options:
A. It is decreased by 10 times the original force
B. It is increased by 1.5 times the original force
C. It is increased by 10 times the original force
D. It is decreased by 1.5 times the original force
Doubling the distance between the charges would decrease the overall force felt between two charges the most. The force felt between two charges is inversely proportional to the square of the distance.
What is Columb's law?
The force of attraction between two charges, according to Coulomb's law, is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
[tex]\rm F= \frac{Kq_1q_2}{r^2}[/tex]
The force felt between two charges is inversely proportional to the square of the distance.
Doubling the distance between the charges. The force felt between two charges is decreased 4 times the previous force.
Doubling the distance between the charges would decrease the overall force felt between two charges, the most.
Hence, option C is correct.
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Two photographers are competing for business in town. Andrea uses only film photography and Keira uses only digital photography. Keira claims that the digital technology is superior, and her advertisement claims that the images can be stored, shared, and copied more easily. They can even be sent long distances using a series of wave pulses to transmit the information. Andrea replies that digital images can be stolen and altered more easily.
Do the advantages outweigh the disadvantages, or do both sides have valid points? Support your answer with at least three reasons
There is no right or wrong answer, your teacher wants you to support your own answer with points. As long as the reasons make logical sense you are fine.
I think they both have valid points. Their replies are both true, but from a buyer's perspective who would you purchase services from? You would get different answers depending on who you ask.
If you choose to go old school, obviously you get an actual photo that can be stored physically. This means it is a memory that can be preserved, and it might feel more nostalgic being able to touch the photo.
On the other hand, a digitally stored photo can be altered (photoshop), but it is forever as long as the internet still exists. A physical photo would fade with time, which doesn't happen with a digital photo.
It is definitely easier to argue that digital photography has more advantages (they do, it is why nobody uses film anymore)
Points you can consider:
Can be transferred to the other side of the world instantly
Ability to make copies and print as many photos as you want
Can be stored on cloud/devices and be like that forever
Compare them with film photography to give a more solid response.
what is the unit scientist use to measure energy?
answer:
scientists use a measurement called BTU to measure energy
If Steve races on the highway going south for 2430 meters in 40 seconds what is his velocity?
Answer: 60.75 m/s
Explanation:
2430 m / 40s = 60.75 m/s
friction is a:
A.balance force
B.unbalance force
C.type of motion
D.type of direction
Answer:
c
Explanation:
becaz its motion and without motion u cant get friction
Answer:
A
Explanation:
hope this helps
mark me brainlistA 9Ω resistance is cut into three equal parts and connected in parallel. Find the equivalent resistance of the combination.
Answer:
the ans i 1 ohm
Explanation:
if i cut a resistor of 9 ohm into 3 equal parts then each resistor will have a resistance of 3 ohm and if they are in parallel combination the net resistance will be R
so 1/R=1/R1+1/R2+1/R3
1/R=1/3+1/3+1/3
R=1
A female skater with mass 45 kg and velocity 7 m/s leaps into her partner's arms. If her partner is has a mass of 60 kg and a forward velocity of 1.5 m/s, how fast are the two of them going after he catches her?
Please provide an explanation, random answers will be reported thank you.
Explanation:
this is the answer for your question further if you have any doubts
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One of the largest planes ever to fly, and the largest to fly frequently, is
the Ukrainian-built Antonov An-124 Ruslan. Its wingspan is 73.2 m
and its length is 69.2 m. The gravitational potential energy associated
with the plane at an altitude of 1.45 km is 3.36 x 10^9 J. What is the airpanes mass
Show work pls :)
The gravitational potential energy associated with the plane is 2.36 x [tex]10^{5}[/tex] J
What is gravitational potential energy?Gravitational potential energy is energy an object possesses because of its position in a gravitational field.
It is given by P.E = mgh
where m = mass
g= acceleration due to gravity
h = height of the object
Here,
h = 1.45km = 1450 m
P.E = 3.36 x [tex]10^{9}[/tex] J
g = 9.8m/[tex]s^{2}[/tex]
therefore, m = P.E/ gh = (3.36 x [tex]10^{9}[/tex]s J)/ 9.8 x 1450
m = 2.36 x [tex]10^{5}[/tex]
Hence mass of the airplane is 2.36 x [tex]10^{5}[/tex]
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One scientist suggests that out of the different possible locations, they should design the model and build it at the equator recieves the most intense solar radiation. Which if the following is the most appropriate critique for the scientist's suggestion?
A. Earth's equator is not hot enough to simulate the Martian daytime.
B. The high mountain top gets the same amount of radiation as the equator, but with atmospheric conditions that are more similar to Mars.
C. The equator has deserts that are actually too dry compared to Mars.
D. The Antarctica has the same nighttime temperature as Mars, but with a similar amount of ice compared to the equator.
Answer:
B.
I think.
Explanation:
Mars doesn't have that much of an atmosphere!
Have a great day!
A 5000ton frieight is moving at a speed of 10mph, next to it a 3250lb Ferrari at a speed of 250mph. Both hit the break, but who stops first?
Answer:
Ferrari would stop first.
Explanation:
The momentum of a moving body is given as:
momentum, P = mass of the body x its velocity
i. For the Freight,
mass = 5000 tons = 4535924 kg
speed = 10 mph = 4.4704 m/s
P = mv
= 4535924 x 4.4704
= 20.28 x [tex]10^{6}[/tex]
P = 20.28 x [tex]10^{6}[/tex] kgm/s
ii. For the Ferrari,
mass = 3250 lb = 1474.175 kg
speed = 250 mph = 111.76 m/s
P = mv
= 1474.175 x 111.76
= 16.48 x [tex]10^{4}[/tex]
P = 16.48 x [tex]10^{4}[/tex] kgm/s
Comparing the momentum of the two objects, the Ferrari would stop fist when break is applied.
What is potential energy?
Wave Properties
With the help of their science teacher, Kaden and Mariam made a machine that can move a slinky back and forth. This motion
creates a fast-moving wave in the slinky. The image below is a model of a wave that is generated by the machine. The frequency of
the wave modeled in the image is 4 Hz.
3 m
What is the speed of the wave?
OA. 24 m/s
ОВ.
1.25 m/s
OC.
0.75 m/s
OD
12 m/s
the wave has a speed of 12 m/s.
Explanation:
Speed is directly proportional to wavelength and frequency. The wave has a frequency of 4 Hz. One Hertz (Hz) is equal to one cycle per second. The image shows that the wave has a wavelength of 3 m. Using the given speed and frequency, the wavelength can be calculated as shown below.
speed= wave length x frequency
speed = 3m x 4Hz
speed = 12m m/6
An element carries a_____charge
Answer:
The charge of an element is equal to the number of protons minus the number of electrons. The number of protons is equal to the atomic number of the element given in the periodic table. The number of electrons is equal to the atomic number minus the charge of the atom.
Explanation:
Answer:
hydrogen sometimes has a charge of zero or (less commonly) -1. Although noble gas atoms almost always carry a charge of zero, these elements do form compounds, which means they can gain or lose electrons and carry a charge.
Explanation:
PlEaSe HeLp MeE
What is the gpe of a rock weighing 100N that is sitting on top pf a hill 300 m high?
Answer:
Gpe = 30000J
Explanation:
Given the following data;
Weight = 100N
Height = 300m
To find the gravitational potential energy (gpe);
Gravitational potential energy can be defined as an energy possessed by an object or body due to its position above the earth surface.
Mathematically, potential energy is given by the formula;
[tex] G.P.E = mgh[/tex]
Where,
G.P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Gpe = mgh
But weight = mg = 100N
Substituting into the equation, we have:
Gpe = 100*300
Gpe = 30000J
File Is Attached To The Question
Please help with this !!!!!!
Answer:
answer is d from my guess
Usain Bolt runs at 200 meters in 20.0 seconds. How fast does he run? speed = distance / time
Answer:
22.369363 mi/h
Explanation:
Average Speed Calculation - suppose we want to calculate Usain Bolt's average speed during his world record winning 100 m sprint race in Berlin on August 16, 2009. What do we know?
We want to calculate Bolt's average speed
The distance was, of course, 100 meters
Bolt ran the distance in 9.58 seconds.
Bolt ran 11.42 yards per second during the race. Setting meters per second, you get 10.44 mp/s; miles per hour - 23.35 mph; kilometers per hour - 37.58 km/h; etc.
Travel Time Calculation - Suppose, you drove 21 miles with an average speed of 45 miles per hour. How long did you drive?
You traveled 28 minutes.
Distance Calculation - Let's calculate, how many miles you can travel, driving 2 hours and 30 minutes with an average speed of 55 miles per hour?
As you can see, the answer is 137.5 miles or 221.28 kilometers or 119.48 nautical miles, etc.
Assume, V - stands for average speed (velocity), T - stands for traveling time, and D - stands for traveled distance.
Average speed can be calculated by using the formula: V = D/T
The traveled distance can be calculated as D = V*T
Traveling time can be calculated using: T = D/V
Using the formulas remember about the units. For example, if the distance is given in meters and the time is given in seconds, the calculated average speed is given in meters per second. To convert it to other units of measurement, you can use our speed converter. If the distance is given in yards and speed is given in miles per hour, to get time in hours, you HAVE TO convert yards to miles or miles per hour to yards per hour first.
How does an atom change if all of its electrons are removed?
Answer: If all the electrons of an atom are removed, it will change to become a positively charged ion called a cation.
Explanation:
Answer:
The atom becomes positively charged.
Explanation:
An object spins with an angular momentum of 8.9 kg⋅m2 /s. A torque on the object causes it to slow to a stop in 5.2 s. What was the angular impulse on the object? What was the average torque on it? Analyze and Sketch the Problem
List Knowns and Unknowns Knowns Unknowns Li = ____________________ Lf = ________________ _____________ = ? ∆t = _________________ _____________ = ? SOLVE FOR THE UNKNOWNS a. Determine the angular impulse from the change in angular momentum b. Apply the impulse-momentum theorem to determine the Torque EVALUATE THE ANSWER Is the unit of torque correct? ______________________________________________________________ Is the magnitude of the torque realistic? _____________________________________________________
Answer:
Explanation:
Li = 8.9 kg m² /s , Lf = 0
Time = Δt = 5.2 s
Angular impulse = change in angular momentum = Li - Lf
= 8.9 - 0 = 8.9 kg.m²/s .
Average torque = angular impulse / time
= 8.9 / 5.2 = 1.711 kg m² / s²
Li = 8.9 kg m² /s , Lf = 0
Δt = 5.2 s
unit of torque = force x distance = mass x acceleration x distance
= kg . m /s² x m
= kg m² / s²
a car takes off from rest and covers a distance of 80m on a straight road in 10s. Calculate the magnitude of its acceleration
Answer:
The magnitude of the acceleration is 1.6 m/s².
Explanation:
We can find the magnitude of the acceleration by using the following equation:
[tex] x_{f} = x_{0} + v_{0}t + \frac{1}{2}at^{2} [/tex]
Where:
[tex] x_{f}[/tex]: is the final position = 80 m
[tex] x_{0[/tex]: is the initial position = 0
[tex] v_{0}[/tex]: is the initial speed = 0 (it starts from rest)
a: is the acceleration =?
t: is the time = 10 s
Hence, the acceleration is:
[tex] a = \frac{2x_{f}}{t^{2}} = \frac{2*80 m}{(10 s)^{2}} = 1.6 m/s^{2} [/tex]
Therefore, the magnitude of the acceleration is 1.6 m/s².
I hope it helps you!
what is the wavelength of these waves???
Answer:
The wavelength is 6 meters.
Explanation:
What is one enThe law of conservation of energy states that energy can neither be created nor destroyed. What does “conservation” mean in this law?ergy transformation that is taking place in the photo?
Answer:
The preservation of a physical quantity during transformations or reactions.
Explanation:
example of unlile parallel forces
Answer:
Explanation:
In mechanical engineering, a parallel force system is a situation in which two forces of equal magnitude act in the same direction within the same plane, with the counter force in the middle. An example of this is a see saw.
Forces which are parallel and acting a similar way are called like parallel forces. Like Parallel forces are the forces that are parallel to each other and have the same direction. Unlike parallel forces are the forces that parallel yet have directions inverse to each other.
when the parallel force system is a situation in which two forces of equal magnitude act in the same direction within the same plane, Two forces that are parallel can either be in the same direction or in opposite directions.
(hope this helps can i plz have brainlist :D hehe)
Identifying Applications of Electromagnetic Waves
Quick
Check
Match the electromagnetic wave with its application.
ultraviolet waves
disruption of DNA production in bacteria
and viruses
gamma rays
destruction of cancer cells
X-rays
diagnosis of illnesses through medical
imaging
Answer:
gamma ray-destruction of cancer cells
Ultraviolet wave-disruption of DNA
X-ray-diagnosis of illnesses through medical
Explanation: on edg
Answer:
Here
Explanation:
Is there a difference in how a black shirt or a white shirt affects our exposure to us radiation?
in root pass welding, that electrode we are going to use?
Answer:
The root pass is made with a 5/32” (4.0mm) diameter electrode. A cellulosic electrode (E-XX10) is being used. The root pass is welded with reverse (DC+) polarity.
Explanation:
In root pass welding, that electrode we are going to use cellulosic electrode (E-XX10).
What is root pass welding?Short arc welding is commonly used for root pass welding to prevent blow through and overheating at the weld joint. Because there is less drooping and suck back, short arc welding is also commonly used on root pass joints.
The first pass in any welding process that combines two pieces or members into one structure is referred to as the root pass.
Subsequent passes raise the weld depth to the desired thickness, resulting in the required strength. The first pass usually serves as the foundation for subsequent filler passes.
A 5/32" (4.0mm) diameter electrode is used for the root pass. A cellulosic electrode (E-XX10) is being used. The root pass is welded with reverse (DC+) polarity.
Thus, cellulosic electrode (E-XX10) for this.
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2
Type the correct answer in the box
A car has a mass of 1,000 kilograms. The weight of the car is
nenors. Use g*98 Nike for granty
Reset
Ben
Answer:
Weight = 9800Newton
Explanation:
Given the following data;
Mass of car = 1000kg
Acceleration due to gravity = 9.8m/s²
To find the weight of the car;
Weight is given by the formula;
Weight = mass * acceleration due to gravity
Substituting into the equation, we have;
Weight = 1000*9.8
Weight = 9800Newton