Rotational dynamics is the study of forces and motions about an axis of rotation.
Explanation:Formulas such as Kinematic Equations and Newton's laws can be expressed in rotating coordinate frames such as: Newton's 2nd Law Fnet=m x a translates into Torque = I x α Where I is Moment of Inertia (the rotational analogous term to mass)
Answer:
Rotational dynamics is the study of forces and motions about an axis of rotation.
Explanation:
Formulas such as Kinematic Equations and Newton's laws can be expressed in rotating coordinate frames such as:
Newton's 2nd Law Fnet=m x a translates into Torque =I x α Where I is Moment of Inertia (the rotational analogous term to mass)
and α is angular acceleration.
A 29000-kg open railroad car, initially coasting at 0.825 m/s with negligible friction, passes under a hopper that dumps 117500 kg of scrap metal into it.
a)What is the final speed, in meters per second, of the loaded freight car?
b)How much kinetic energy is lost, in joules, when the freight car receives this scrap metal? Ignore the free-fall kinetic energy of the scrap metal.
Answer:
a) Answer: 0.16331 m/s
b) Answer: 8522.66 joules
Explanation:
The final speed is 0.1633 m/s.
When the freight car receives this scrap metal, 7915.72 Joule kinetic energy is lost.
What is momentum?A body has momentum while it is moving, according to our understanding. It is said that a body's momentum is equal to the sum of its mass and speed. A body's direction is important when discussing momentum. Its direction belongs to the body's direction of motion.
(a) Given parameter:
Mass of the railroad car, M = 2900 Kg.
Mass of the scrap metal, m= 11750 Kg.
Initial speed of the car, u = 0.0825 m/s.
Initial speed of the scrap metal = 0 m/s.
Final speed of the system, v = ?
Then, initial momentum of the system = initial momentum of the car + initial momentum of the scrap metal .
= (29000×0.825 + 117500×0) kg.m/s.
= 23925 kg.m/s.
Final momentum of the system = total mass of the system× final speed
= (29000 + 117500)× v kg.m/s
= 146500v kg.m/s.
Hence, from principle of conservation of momentum,
initial momentum of the system = Final momentum of the system
⇒ 23925 = 146500v
⇒ v = 0.1633 m/s.
The final speed of the loaded freight car is 0.1633 m/s.
(b) Lost in kinetic energy = initial kinetic energy of the car - final kinetic energy of the loaded car.
= 1/2*29000*0.825² -1/2*(29000 + 117500)* 0.1633² Joule.
= 7915.72 Joule.
Hence, 7915.72 Joule kinetic energy is lost in this process.
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A car was driving at a speed of 10 m/s. In 3 seconds, it accelerated to a speed of 50 m/s. Calculate the car's acceleration.
30 m/s2
16.7 m/s2
13.3 m/s2
Answer:
[tex]\boxed {\boxed {\sf 13.3 \ m/s^2}}[/tex]
Explanation:
Acceleration is the rate of change of velocity with respect to time. It is the change in velocity over the change in time, and it is calculated using the following formula.
[tex]a= \frac{ v_f-v_i}{t}[/tex]
The car starts at a speed of 10 meters per second, then it accelerates to a speed of 50 meters per second. It achieves this acceleration in 3 seconds.
[tex]v_f[/tex]= 50 m/s[tex]v_i[/tex]= 10 m/s t= 3 sSubstitute the values into the formula.
[tex]a= \frac{50 \ m/s - 10 \ m/s}{3 \ s}[/tex]
Solve the numerator.
50 m/s -10 m/s= 40 m/s[tex]a= \frac{40 \ m/s}{3 \ s}[/tex]
Divide.
[tex]a= 13.3333333 \ m/s/s[/tex]
[tex]a \approx 13.3 \ m/s^2[/tex]
The car's acceleration is approximately 13.3 meters per second squared.
Mention the methods of census and explain each of them in brief
Answer:
Census includes the total process of collecting, compiling, analyzing, evaluating, publishing and disseminating statistical data regarding the population and housing and their geographical location. Population characteristics include demographic, social and economic data and are provided as of a particular date (reference period).
Census Methods:
Population censuses typically use one of two approaches:
De facto – meaning enumeration of individuals as of where they are found in the census, regardless of where they normally reside.
De jure - meaning enumeration of individuals as of where they usually reside, regardless of where they are on census day.
in an rfid system, where would the unique data identifying an item typically be found?
In a radio frequency identification (RFID) system, the unique data identifying an item are typically found in: tags.
What is an RFID system?
RFID is an acronym for radio frequency identification.
A RFID system can be defined as an automatic, wireless, identification technology (device) that is typically designed to allow end users store and retrieve information, especially through the use of an electromagnetic field.
The operational benefits of an RFID system:
Generally, a radio frequency identification (RFID) system is used for the following:
1. To identify an item or individual.
2. To trace and tracking an item or individual.
3. To track an item or individual.
The components of an RFID system:
An RFID system is a wireless, identification technology (device) that comprises two (2) main components and these are:
ReadersTagsTags refer to small objects containing an antenna and a chip (smart barcodes) that are used to automatically identify an item or individual they are embedded in or attached to.
In conclusion, the unique data that are used in identifying an item are typically found in tags.
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give to examples of electrical energy being transformed into light?
Answer:
A lightbulb is connected to an outlet that has a source of electricity. The electrical energy is converted into light energy to allow the bulb to glow.
Explanation: Lightning is a discharge of static electricity. The lightning bolt lights up the sky.
How would the gravity between two objects change if one object got bigger?
The correct answer is the 3rd answer, gravity would increase its pull on the small object
hope this helps! :)
Cho mạch điện gồm ba điện trở mắc nối tiếp nhau. Biết R 1 = 8Ω, R 2 = 12Ω, R 3 = 4Ω. Hiệu điện thế giữa hai đầu đoạn mạch U = 48V. Tính hiệu điện thế giữa hai đầu mỗi điện trở.
56gq2391$/= 343568
hope u understand me
can someone pls help me in this q
Answer: B
Explanation:
In a titration, 50.00 cm3 of 0.300 mol/dm3
sodium hydroxide solution is exactly neutralized by 25.0
cm3 of a dilute solution of hydrochloric acid.
NaOH(aq) + HCl(aq) → NaCl(aq) + H2O(l)
Calculate the concentration of the hydrochloric acid. Show your work out
PLS URGENT ANS
Answer:
Step 1: Calculate the amount of sodium hydroxide in moles
Volume of sodium hydroxide solution = 50.0 ÷ 1,000 = 0.05 dm3
Rearrange:
Concentration in mol/dm3 = amount of solute in molvolume in dm3
Amount of solutein mol = concentration in mol/dm3 × volume in dm3
Amount of sodium hydroxide = 0.300 × 0.05
= 0.01 5mol
Step 2: Find the amount of hydrochloric acid in moles
The balanced equation is: NaOH(aq) + HCl(aq) → NaCl(aq) + H2O(l)
So the mole ratio NaOH:HCl is 1:1
Therefore 0.015 mol of NaOH reacts with 0.015 mol of HCl
Step 3: Calculate the concentration of hydrochloric acid in mol/dm3
Volume of hydrochloric acid = 25.00 ÷ 1000 = 0.025 dm3
Concentration in mol/dm3 = amount of solute in molvolume in dm3
Concentration in mol/dm3 = 0.015/0.025
= 0.6 mol/dm3
Step 4: Calculate the concentration of hydrochloric acid in g/dm3
Relative formula mass of HCl = 1 + 35.5 = 36.5
Mass = relative formula mass × amount
Mass of HCl = 36.5 × 0.6
= 21.9 g
So concentration = 21.9 g/dm3
Which element is in the 3rd period and group 16?
Answer:Thus for n=1 number of electrons is 2 and for n=2 the number of electrons is 8. Hence the electronic configuration of the element X is 2,8,6 and its atomic number is 16. In the Modern Periodic Table, the element Sulphur has atomic number 16. So, the solution is that the element X is Sulphur and it is non metallic.
Answer:
Explanation:
Answer: Thus for n=1 number of electrons is 2 and for n=2 the number of electrons is 8. Hence the electronic configuration of the element X is 2,8,6 and its atomic number is 16. In the Modern Periodic Table, the element Sulphur has atomic number 16. So, the solution is that the element X is Sulphur and it is non metallic.
the ground wire on a household circuit is typically what color
Answer:
Hey mate....
Explanation:
This is ur answer.....
Green & YellowHope it helps!
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The ground wire on a household circuit is green in color in a typical household
What is an electric charge?Charged material experiences a force when it is subjected to an electromagnetic field due to the physical property of electric charge. You can have positive or negative electric charges (commonly carried by protons and electrons respectively). opposing charges attract one another whereas similar charges repel one another. We refer to an object as neutral if it has no net charge.
The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.
The ground wire is either bare or has green insulation in most residential branch circuit cables in the US.
The norm in Europe and the UK is
live, brown
neutral is blue.
stripes with green and yellow: earth.
Thus,the ground wire on a household circuit is green in color in a typical household
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Usain Bolt has a mass of 94.1 kg and he had a KE of 7,250 J when running the one hundred meter dash. Calculate how fast he was running
Answer:
[tex]\displaystyle v = 12.4134 \ m/s[/tex]
General Formulas and Concepts:
Energy
Kinetic Energy Formula: [tex]\displaystyle KE = \frac{1}{2}mv^2[/tex]
m is mass (in kg)v is velocity (in m/s)Explanation:
Step 1: Define
Identify variables.
KE = 7250 J
m= 94.1 kg
Step 2: Solve for v
Substitute in variables [Kinetic Energy Formula]: [tex]\displaystyle 7250 = \frac{1}{2}(94.1)v^2[/tex]Isolate v term: [tex]\displaystyle 154.091 = v^2[/tex]Isolate v: [tex]\displaystyle v = 12.4134[/tex]Topic: AP Physics 1 - Algebra Based
Unit: Energy
The initial temperature of the mixture was +20 °C. The mixture froze at -1.5 °C.
A total of 165 kJ of internal energy was transferred from the mixture to cool and
freeze it.
specific heat capacity of the mixture = 3500 J/kg °C
specific latent heat of fusion of the mixture = 255 000 J/kg
Calculate the mass of the mixture.
Give your answer to 2 significant figures.
[6
M
Answe16000/3500(-1.5-2-)225000= 1.1
Explanation:
The mass of the mixture will be 2.19 ×10⁻³ kg. The unit of mass is kg and it is a scalar quantity.
What is mass?Mass is a numerical measure of inertia, which is a basic feature of all matter. It is, in effect, a body of matter's resistance to a change in speed or position caused by the application of a force.
In the International System of Units (SI), the kilogram is the unit of mass.
The given data in the problem is;
The initial temperature of the mixture was, [tex]\rm T_i = 20 ^0 \ C[/tex]
The mixture froze at the temperature of, [tex]\rm T_F = -1.5 ^0 \ C[/tex]
The internal energy is,[tex]\rm E = \rm 165 \ kJ[/tex]
The specific heat capacity of the mixture is,[tex]\rm C = 3500 J/kg ^0C[/tex]
The specific latent heat of fusion of the mixture is,[tex]\rm l = 255 000 J/kg[/tex]
m is the mass of the mixture,
The latent heat is equal to the heat transfer. Because the net work done is zero.
The formula for the heat transfer is found as;
[tex]\rm Q = mCdt \\\\ m = \frac{Q}{Cdt} \\\\ m = \frac{165 }{3500(20-(-1.5)} \\\\ m = 2.19 \times 10^{-3} \ kg[/tex]
Hence the mass of the mixture will be 2.19 ×10⁻³ kg.
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Which country is considered to have one of the best ski teams in the world?
Answer:
France
Explanation:
France is the undisputed champion in the world of skiing.
A SMART car can accelerate from rest to a speed of 28 m/s in 20s. What distance does it travel in this time?
A plane flying above the ground has 60,000 joules of kinetic energy and 6,000 joules off gravitational potential energy. How much mechanical energy does the plane have?
Answer:
66,000J
Explanation:
Mechanical energy = Gravitational energy + Kinetic Energy
ME = 6,000 + 60,000 = 66000 J
HELP PLEASE
2. What is the potential energy of a 2000 g basketball that is stuck on the rim of a 3m hoop?
Answer:
[tex]U_g=58.86 J[/tex] or [tex]U_g=60 J[/tex]
Explanation:
Answer is attached. I do not know if you needed to use 9.81 or 10 for the acceleration due to gravity, so both solutions are attached.
a helicopter cruises at a constant velocity when the total thrust of the engines is 5,000 N. How much air resistance acts on the jet ??
Hi there!
[tex]\large\boxed{F_{A} = -5000N}}[/tex]
For an object to be moving at constant velocity:
∑F = 0 (The sum of the forces acting on the object MUST be 0 N)
We can do a summation of forces for this helicopter in the HORIZONTAL direction:
∑Fₓ = Ft (Force of Thrust) + Fa (Force of air resistance) = 0
Thus, if we substitute in the given value for Ft:
Ft = -Fa
5000N = -Fa
Fa = -5000N
Josh and jake are both helping to build a brick wall which is 6 meters in height. They each lay 250 bricks, but josh finishes this task in 3 hours while jake requires 4.5 hours to complete his part. Who does more work, or do they both do the same amounth? Who has more power? Explain.
A stomp rocket takes 3.1 seconds to reach its maximum height.
What was its maximum height?
Answer:
height where rocket goes
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foetus grows by receiving nutriens and oxygen from the mother. How does the foetus receive these nutriens and oxygen?
Answer:
From the very beginning, the developing cells need oxygen and nutrients. The fetus receives its nutrition from the mother through the placenta and the umbilical cord.
Explanation:
The internal energy is the total kinetic energy and __________ energy of all the particles that make up a system. What word completes the sentence?
Answer:
Potential
Explanation:
The internal energy is the total amount of kinetic energy and potential energy of all the particles in the system. When energy is given to raise the temperature, particles speed up and gain kinetic energy.
Hope this helps :)
What is the velocity of a ball swung around on a rope with a
radius of 0.25 meters and period of 0.40 seconds?
A ball swung around on a rope of a radius of 0.25 meters in a time of 0.40 seconds, then the velocity of the ball will be equal to 3.925 m/s.
What is velocity?
Velocity is the rate of change of a traveling object's direction, as measured by a certain unit of time and as seen from a specific vantage point. Speed is a basic concept in kinematics, the branch of special relativity that studies how bodies move.
A scientific vector quantity called velocity must have both a magnitude and direction to be described.
As per the data provided in the question,
Radius, r = 0.25
Time, t = 0.40 seconds
Circumference of the circle, d = 2πr
d = 2π(0.25)
d = 1.570 m
Velocity, v = d / t
v = 1.570 / 0.40
v = 3.925 m/s.
Therefore, the velocity of the ball will be 3.925 m/s.
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Find the gravitational potential energy of a body of mass 25kg,kept at a height of 4m If g=10m/s'.
Answer:
Explanation:E=mgh=25×4×10=1000J
A car takes 9 m to stop after the driver applies the brakes.
The brakes exert a force of 2000 N.
Calculate how much work is done by this force.
Depends upon how soon you want to stop. You know the mass of the car, you know the initial velocity of 8.9 m/s. You know the final velocity which is zero. You can now calculate the deceleration of the car if you know how soon you want to stop.
Let's say you want to stop in one second.
a = (vf - vi) / t = - 8.9 m/s^2 (negative sign indicates deceleration).
F = ma = 800 x 8.9 = 7120 Newtons (kg*m/s^2)
Can you achieve Light Speed with a Perpertual Motion Machine containing High Energy?
Answer:
Yes
Explanation:
Perpetual Motion Machine (PMM) which can be applied to produce electricity, may be an alternative solution for the problem the world is facing today. The machine is designed to generate power from repulsive forces of permanent magnet without utilizing external sources.
Please help, and give an explanation on what you did. Thanks a lot :]
Answer:
3.0 m
Explanation:
The height of the wave is just 1.5 m + 1.5 m which equals 3.0 m
help with this question
Answer:
D and B.
Explanation:
The wavelength must be taken from the same corresponding point. D and B are both at the crests of a wave, with no other crests in between, which means the distance between them is equal to one wavelength.
A ball is released freely from the top of a building 80m high. Find its speed.
At the top of the building, the speed of the ball is zero.
The speed increases steadily as the ball falls.
When it hits the street, its speed is 39.6 m/s.
20 examples of electropositive radical