Looks like a single particular mass in potential energy:
r1 = Position vector of m.
r2 = position vector of m₂
r3 = relative position vector
Rcom = Position vector of Centre of mass.
A Mass Intention is a request by a relative or friend to celebrate a Mass on a particular day or Sunday to appease the soul of the deceased. It can also demand a large amount of willpower for a living. At each Mass, he may pray to only one person as a concern.
Potential energy is stored energy that depends on the relative positions of the various parts of the system. When a spring is compressed or stretched its potential energy increases. A steel ball has more potential energy lifted across the ground than after it hits the ground. Potential energy is the energy stored or stored in an object or matter. This stored energy is based on position.
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Two weights are connected by a massless wire and pulled upward with a constant speed of 1.50 m/s by a vertical pull P. The tension in the wire is T.
In Above:
T = P
P = T + 25 N
P = T + 100 N
T > P
P + T = 125 N
P is closest to:
245 N
125 N
1225 N
25 N
187.5 N
T is closest to:
980 N
100 N
125 N
150 N
75 N
If two weights are connected by a massless wire and pulled upward with a constant speed of 1.50 m/s by a vertical pull P and a tension in the wire is given by P = T + 25 N
For an object moving with constant speed,
a = 0
For 25 N object,
F = P - T - W
F = Net force
P = Pulling force
T = Tension force
W = Weight
W = 25 N
F = P - T - W
m a = P - T - 25 N
0 + 25 = P - T
P = T + 25 N
For 100 N object,
W = 100 N
F = T - W
0 = T - 100
T = 100 N
P = T + 25 N
P = 100 + 25
P = 125 N
Therefore,
P = T + 25 NP is closest to 125 NT is closest to 100 NThe given question is incomplete. The complete question is:
Two weights are connected by a massless wire and pulled upward with a constant speed of 1.50 m/s by a vertical pull P. The tension in the wire is T. The weights are shown in the image attached.
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an 18-cm-long bicycle crank arm, with a pedal at one end, is attached to a 20-cm-diameter sprocket, the toothed disk around which the chain moves. a cyclist riding this bike increases her pedaling rate from 60 rpm to 88 rpm in 15 s. assume constant angular acceleration.
The angular acceleration of the crank arm is 0.96 rad/s^2
What is angular acceleration?
In physics, angular acceleration is the rate at which angular velocity changes over time. Naturally, there are two types of angular acceleration, referred to as spin angular acceleration as well as orbital angular acceleration, just as there are two types of angular velocity, notably spin angular velocity as well as orbital angular velocity. As opposed to orbital angular acceleration, which is the angular acceleration of the a point particle about a fixed origin, spin angular acceleration describes the angular acceleration of the a rigid body as to its centre of rotation. The unit of measurement for angular acceleration is the angle per unit time squared, and it is typically denoted by the symbol alpha (). When the angular speed changes from increasing counterclockwise to decreasing clockwise in two dimensions, the pseudoscalar known as angular acceleration is assumed to have a positive sign.
The angular acceleration of the crank arm is:
a = (88rpm - 60rpm) / 15s = 0.96 rad/s^2
The angular velocity of the crank arm after 15 seconds is:
ω = 60rpm + (0.96rad/s^2) * 15s = 113.4 rpm
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How much work does a bulldozer do in pushing another bulldozer with a force of 1500 n to a distance of 20 meters.
30000 J of work does a bulldozer do in pushing another bulldozer with a force of 1500 n to a distance of 20 meters.
W = F × s
W = work done
F = force, given = 1500 N
s = distance travelled, given = 20 m
Put these values in formula, W = Fs
W = 1500 × 20
W = 30000 J
Therefore, 30000 J of labor does a bulldozer do in pushing every other bulldozer.
The paintings achieved on an item is the amount of strength transferred to an item via paintings. Its formula is W = F × s. in which, W = paintings completed, F = force, s = distance travelled.
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in certain cyclotron a proton moves in a circle of radius 0.39m. the magnitude of the magentic field is 1.40t. a) what is the oscillator frequency
The oscillator frequency, according to the statement, is 2.13×10⁷ Hz.
What kinds of fields are there?According on whether the reported weight of an object is a scalar, vector, spinor, or tensor, respectively, a field can be categorized as a numerical solution, vector field, spinor field, or tensor field.
What does a work field mean?Career sectors are means of classifying various career kinds based on shared characteristics. People can use these categories to help them focus their professional options and select a suitable route. Career fields make it simple for people to categorize the many forms of labor for better comprehension.
Briefing:
f=[tex]\frac{qb}{2\pi m}[/tex]
[tex]$\begin{aligned} f &=\frac{1.6 \times 10^{-19} \times 1.4}{2 \pi \times 1.67 \times 10^{-27}}\\ f &=2.13 \times 10^7 \mathrm{~Hz} \end{aligned}$[/tex]
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lift can be described as the difference in elevation between the surface of the static water supply and the:
The static lift, which only exists when the pump is not in use, is the vertical distance between the pump's Centre line and the elevation of the water source. the pump's elevation is lower than the water elevation,
There is a positive static lift. The static lift is negative if the pump is situated below the water's surface level. The term "vertical position," "vertical location," or "level" refers to a position along a vertical axis that is above or below a specific vertical datum (reference level).
The vertical distance between pressures is constant, and this is the static lift. However, certain systems could have a variable operating pressure that depends on the height of the system and the pump's Centre line.
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A 2.0 kg, 20-cm-diameter turntable rotates at 100 rpm on frictionless bearings. Two 500 g blocks fall from above, hit the turntable simultaneously at opposite ends of a diagonal, and stick. What is the turntable's angular speed, in rpm, just after this event?
The turntable's angular speed, in rpm, just after this event is 50rpm (using moment of inertia calculation).
It is defined as the tendency of an object to remain in a state of rest or of a constant rotational velocity. Greater the moment of inertia, more torque is required to change this state. Torque in rotational motion plays the same role as force in linear motion.
What is the turntable's angular speed (in rpm) just after this event?
Moment of inertia of the turntable is
I₁ = (M*R²) / 2
= ( 2kg) * (0.2m / 2)² / 2
= 0.01 kg.m²
W₁ = 100 rpm
Moment of inertia when two blocks stick,
I₂ = I₁ + 2m*r²
= 0.01 + 2*(0.5kg)*(0.1m)²
= 0.02
from conservation of angular momentum
L₁ = L₂
I₁ * W₁ = I₂ * W₂
0.01 * 100rpm = 0.02*W₂
W₂ = 50rpm
Therefore, the turntable's angular speed is 50rpm based from the calculation above.
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b. the mass of a small piece of wood and a beaker of water is equal to the mass when the wood is floating in the beaker of water
When the wood is floating in the beaker of water then force is balanced.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The mass of a small piece of wood and a beaker of water is equal to the mass when the wood is floating in the beaker of water, upward force is balanced by downward force so floating happen.
When the wood is floating in the beaker of water then force is balanced.
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a baseball with a mass of 145 g is thrown horizontally with a speed of 40.6 m/s (91 mi/h) at a bat. the ball is in contact with the bat for 1.20 ms and then travels straight back at a speed of 45.1 m/s (101 mi/h). determine the average force exerted on the ball by the bat. neglect the weight of the ball (it is much smaller than the force of the bat) and choose the direction of the incoming ball to be positive. (indicate the direction with the sign of your answer.)
Average force exerted on the ball by the bat will be 543N.
Force is defined as the push or pull which is applied to the body. It is the product of mass and rate of change of velocity. Sometimes it can be use to change the shape, size, and direction of the body. It is defined as the product mass and acceleration. It's unit is Newton.
m is the mass of the baseball = 145g = 0.145g
u is the initial velocity of the baseball = 40.6m / s
v is the final velocity of the baseball = 45.1 m/s
t is time of contact = 1.20ms =1.20 × 10-³s
The average force mathematically given as
F = (m(v - u))/t
F = (0.145(45.1 - 40.6)) / (1.20 × 10-³ )
F = 543N
Hence, the average force exerted on the ball by the bat will be 543N.
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How was radiogenic heat generated?.
The radioactive decay of elements within the Earth's mantle and crust outcomes in the production of daughter isotopes and the launch of geoneutrinos and warmth power, or radiogenic heat.
Sure elements, referred to as radioactive factors along with potassium, uranium, and thorium, damage down via a process known as radioactive decay, and release energy. This radioactive decay in Earth's crust and mantle constantly adds heat and slows the cooling of the Earth.
Radiogenic heating The thermal electricity released due to spontaneous nuclear disintegrations. in the Earth, the major isotopes concerned these days are of the factors uranium, thorium, and potassium, but diverse short-lived isotopes might also have been essential at some point in the early formation of the Earth.
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Determine the moment of inertia of the assembly about an axis perpendicular to the page and passing through point O. The block has a mass of 3 kg. and the semicylinder has a mass of 5 kg.
The moment of inertia of the assembly about the axis perpendicular to the page and passing through point O is 0.285 kg/m².
The dimensions of the block are 300mm x 400mm, the radius of the semi cylinder is 200mm.
The mass of the block is 3 kg and the semi cylinder has a mass of 5 kg.
The Moment of inertia of the block around the axis passing through the point O and perpendicular to the plane of the paper is given by,
I = M/12(L²+B²)
I₁ = M/12((0.3)²+(0.4)²)
I₁ = M/12
I₁ = 0.06 kg/m²
Now, the moment inertia of the semi cylinder around the point O is,
I₂ = M/2(R)²
I₂ = 5/2(0.3)²
I₂ = 0.225 kg/m².
The moment of inertia of the whole assembly around the axis perpendicular to the page and passing through point O.
I = I₁ + I₂
I = 0.06+0.225
I = 0.285 kg/m².
The moment of inertia of the assembly is 0.285 kg/m².
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99. The centripetal acceleration of a ball of mass m moving at constant speed v in a horizontal circular path of radius r is
(1) zero
(2) constant in direction, but changing in
magnitude
(3) constant in magnitude, but changing in
direction
(4) changing in both magnitude and direction
The centripetal acceleration of a ball of mass m moving at constant speed v in a horizontal circular path of radius r is constant in direction, but changing in magnitude.
What is magnitude ?A mathematical object's magnitude or size is a characteristic that indicates whether it is bigger or smaller than other objects of the same kind. Formally speaking, the size of an object is the visible outcome of an ordering—of the class of objects to which it belongs.
A magnitude is a measurement of a quantity's size. For instance, an earthquake's Richter scale magnitude, which reflects the size of the earthquake and typically ranges from 1 to 10, is measured. A magnitude 8 earthquake is far more problematic than a magnitude 3 earthquake.
Thus, option 2 is correct.
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what is the magnitude of the average force of air resistance? express your answer with the appropriate units tennis
Calculating air resistance involves adding up the drag coefficient, area, and air density, then multiplying by velocity squared.
What factors determine the strength of the air resistance?The object's shape, area, and speed as it travels through the air all affect air resistance. The resistance of the air is affected by altitude, temperature, and humidity changes in air density. The resistance increases with increasing speed and area.
How much force does friction typically exert?Perpendicular to the slope, the net force component must be zero. The perpendicular gravitational force must be cancelled by the normal force. As a result, n = mg cos, where mg is the normal force.
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the motor of an elevator puts out 1,104 w of power. what is the mass of the elevator in kg if it lifts 135 m in 65 s at a constant speed? assume g
The mass of the elevator in Kilograms is 54.24 Kg.
The power applied by the elevator on the mass is 1104 W.
The height to which the mass is taken is 135m in the time period of 65 seconds.
We know,
Power applied is equal to the work done per unit time,
So,
P = MgH/t
Where, P, M, g, H and t are Power, mass, acceleration due to gravity, height and time respectively.
Now, putting values,
1104 = M x 9.8 x 135 / 65
M = 54.24 Kg.
So, the mass of the elevator is 54.24 kg.
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The figure below shows a constant magnetic field in a circular region which is pointing out of the page and increasing in magnitude at a constant rate. The magnetic field vanishes outside of the circular region. Two closed loops appear in the figure, one entirely outside the circular region (but not encircling it), and another entirely inside the circular region. Which of the following statements concerning the two loops false? Neither of the two loops experiences a net force. Only the interior loop experiences forces which tend to crush it. Both of the loops have currents running clockwise around them. Both of the two loops experience induced electric fields.
The correct answer is c that is both of the loops have currents running clockwise around them.
Since loop inside the region has an increasing magnetic field so it has clockwise current but the loop outside the magnetic region doesnt have current.
Powering lamps or other electrical devices always involves creating a loop in which electrical current flows. A circuit is made up of various parts that are wired together.
The battery or another power source moves the circuit's current. In a current loop, a dc power source is used to supply the current signal, which then travels through the transmitter, controller, and back to the power supply in a series circuit.
It was decided at random that the current would pass from the positive terminal to the negative terminal. However, when electrons were later discovered, it was revealed that they had a negative charge attached to them. Consequently, the direction of electron flow is the opposite of the direction of flow of conventional current.
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determine by direct integration the moment of inertia of the shaded area with respective to the y axis. (20 points)
The moment of inertia of the shaded area respective to the y-axis is [tex]\frac{a^{3}b }{6}[/tex]
We need to calculate n the moment of inertia of the shaded area respective to the y-axis, that is, [tex]I_{y}[/tex]
The equations of the given curves,
[tex]y = kx^{3}[/tex] equation(1)
and [tex]b = ax^{3}[/tex]
So, we have,
[tex]b = ax^{3}[/tex]
[tex]k =\frac{b}{a^{3} }[/tex]
Putting this in equation (1), we get :
[tex]dI_{y} =x^{2} dA\\\\dI_{y} =x^{2} (ydx)\\\\I_{y} =\int\ {}\, dI_{y}[/tex]
[tex]I_{y} = \frac{b}{a^{3} }\int\limits^a_0 {x^{2}x^{3} } \, dx \\\\I_{y} = \frac{b}{a^{3} }\int\limits^a_0 {x^{5} } \, dx \\\\I_{y} = \frac{a^{3} b}{6}[/tex]
Thus, the moment of inertia of the shaded area respective to the y-axis is [tex]\frac{a^{3}b }{6}[/tex]
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select the income elasticity that corresponds to a normal good. income elasticity is positive and less than 1. income elasticity is -1. income elasticity is negative and less than -1. income elasticity is zero.
A normal good has an Income Elasticity > 0
What is Income Elasticity ?A measure of the economic responsiveness of the quantity of an item or service demanded to a change in income is called income elasticity of demand. The percentage change in quantity demanded divided by the percentage change in income is the formula for determining the income elasticity of demand.
The income elasticity of demand is categorised into three groups based on numerical value as follows:
Demand elasticity of income that is favorable
demand elasticity of income that is negative
There is no demand elasticity of income.
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The income elasticity of demand measures how sensitive the quantity demanded of a good is to changes in income. It helps us understand whether a good is a normal good, inferior good, or luxury good.
To calculate the income elasticity of demand, we can use the following formula:
Income Elasticity of Demand = (Percentage change in quantity demanded) / (Percentage change in income)
In this case, the percentage change in income is given as 23 percent, and the percentage change in consumption of farm goods is 0.4 percent.
Using the formula, we can calculate the income elasticity of demand for farm goods:
Income Elasticity of Demand = (0.4 percent) / (23 percent)
Simplifying this expression, we have:
Income Elasticity of Demand = 0.4 / 23
This yields a value of approximately 0.017, or 0.017%.
Since the income elasticity of demand is a positive but small value (less than 1), we can conclude that farm goods are a necessity or a normal good. This means that as consumers' incomes increase, the quantity demanded of farm goods increases, but at a relatively smaller rate compared to the income change.
It's important to note that the income elasticity of demand can also be negative. A negative value would indicate that the good is an inferior good, meaning that as consumers' incomes increase, the quantity demanded of the good decreases. However, in this case, the income elasticity of demand is positive, indicating that farm goods are a normal good.
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Imagine that you visit an alien world that has an atmospheric composition similar to that of Earth (that is, mostly nitrogen and oxygen) and a surface atmospheric pressure of 1.2 bars. Which of the following statements best describes the effects of this pressure?
It will feel quite similar to the atmospheric pressure on Earth.
It will feel quite similar to the atmospheric pressure on Earth.
What is the difference between air pressure and atmospheric pressure?Air pressure is the force of the air around us, whereas atmospheric pressure is the force of the earth's atmosphere. Tore gauges are used to measure air pressure, while mercury barometers are used to measure atmospheric pressure.The molecules and atoms that make up the many layers of the atmosphere are continually moving in arbitrary directions. Despite their small size, when they hit a surface, they apply pressure that humans perceive as a force.The planet's mass, the surface's radius, the quantity, composition, and vertical distribution of the atmospheric gases, as well as the planet's gravitational influence on those gases, determine atmospheric pressure.To learn more about atmospheric pressure. refer,
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Compared to their values on Earth, on another planet your
mass would be the same but your weight would be different.
Compared to their values on Earth, on another planet your mass would be the same but your weight would be different due to the force of gravity.
W = m g
W = Weight
m = Mass
g = Acceleration due to gravity
Mass is the quantity of amount of substance present in a body. It does not depend on any outside factors. So its value is not altered by any external factors.
W ∝ g
As you can see that weight changes based on the value of g acting on the body. Weight can also be called as force of gravity. The value of g in earth is different than the value of g in other planets.
Therefore, compared to their values on Earth, on another planet your mass would be the same but your weight would be different due to the force of gravity.
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you change the distance to a sound source from 1 m to 10 m. by how much does the intensity level change in decibel (db)?
If you change the distance to a sound source from 1 m to 10 m the intensity level change in decibel (db) is 20 dB.
What is sound attenuation and how do you calculate it?
The intensity of sound decreases with distance when it passes through a medium. Two fundamental factors, scattering and absorption, are responsible for this wave's energy depletion. Attenuation refers to the outcome of both scattering and absorption combined.The decibel scale is used to gauge the strength of attenuation. An intensity of 1*10-12 W/m2 is equivalent to a sound level of 0 decibels (abbreviated as 0 dB), which is the threshold of hearing.The formula to calculate sound attenuation over distance for a point source is:
L(r2) = L(r1) - 20·Log10(r2/r1)
Where:
L(r1) = Known sound pressure level at the first location (typically measured data or equipment vendor data)
L(r2) = Unknown sound pressure level at the second location Location
r1 = Distance from the noise source to location of known sound pressure level
r2 = Distance from noise source to the second location
According to the given informations,
the initial distance,r1 = 1m
the final distance, r2 = 10m
Putting the values in the above equations, we have,
L2 = L1 −10log (r2/ r1)^2
L1 - L2 = 10log (r2/ r1)^2
= 10log (10/1)^2
= 10log 10^2
= 2 x 10log10
= 20 dB
Hence, the intensity level change in decibel (db) is 20 dB.
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A particle of mass 4m which is at rest explodes into three fragments. Two of the fragments each of mass m are found to move with speed v each in mutually perpendicular directions. The total energy released in the process of the explosion is-(A) 23mv2(B) 32mv2(C) 43mv2(D) 34mv2
The correct answer is option B.
Total Energy is the total final energy consumption at a specific variable. Total energy is distinguishable from Final Energy Intensity by the fact that energy data is entered directly.
The total energy of a system is the sum of kinetic and gravitational potential energy.
This total energy is conserved in orbital motion.
We are given that the mass of the big particle is 4m and velocity of two fragments are mutually perpendicular to each other.
If p₁ and p₂ are the momentum of the fragments
Then momentum of third fragment is p₃=
p₃ = √[(p₁²+p₂²)] = √[(mv)²+(mv)²] = √2mv
Velocity of third fragment = v /√2
Total energy released in the explosion
= 1/2 mv² +1/2 mv² + 1/2*2m(v/√2)²
= 3/2 mv²
Therefore, the total energy released by particle having mass 4m is 3/2 mv².
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What type of wave is a light wave?.
Light wave is a type of Transverse wave
What kind of wave is light ?All electromagnetic waves, including light, are transverse waves because they vibrate energy perpendicular to the wave's direction of travel. In a gas or a liquid, transverse waves cannot travel because there is no mechanism for generating motion perpendicular to the wave's direction of propagation.
A medium is not needed for the propagation of a light wave. It is therefore a non-mechanical wave. A light wave's electric and magnetic fields oscillate in a direction opposite to the direction in which the wave is traveling. This makes it a transverse wave.
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How does dark matter affect the development of structures in the early universe?.
The development of structures in the early universe seeded the development of galaxies.
The growth of primordial fluctuations of hot and cold dark matter gives rise to two distinct distributions of cosmic structure. In a model of hot dark matter, the heaviest structures form first and then split into smaller structures.
Dark matter is thought to have played a role in the formation of galaxies. The galaxy's mass provided most of the gravitational pull necessary to form clouds and larger structures in protogalaxies. The energy of the Big Bang caused the initial expansion of the universe. Since then, gravity and dark energy have played a cosmic tug of war. Gravity pulls galaxies together. Dark energy pulls them apart.
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What a mechanics error is when writing?.
Mechanics error is referred to as the parts of speech and how they combine to form sentences.
Writing with great structure and syntactic redress is exceptionally vital for everybody. Understanding the thoughts that the students need to communicate in their essays will be easier when they are conveyed with the right grammar. Mechanical errors are diverse from grammatical errors. Grammar is the structure of written or talked language. It alludes to the parts of speech and how they combine to make sentences. Mechanics allude to the rules of the composed language, such as capitalization, accentuation, and spelling.” Since mechanics are the portion of composing, students moreover utilize mechanics in their exposition composing in arrange to deliver clearer intended messages. In this manner, this present study too centered on mechanical perspectives which contain capitalization, accentuation, and spelling.
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The acceleration of an object is ____________ related to the mass of the object.
Answer:
Inversely
Explanation:
According to Newton's Second Law, force is equal to mass times acceleration (F=ma). Rewriting this equation as an expression for acceleration, we have a=F([tex]\frac{1}{m}[/tex]). This shows a∝[tex]\frac{1}{m}[/tex], or acceleration is proportional to the inverse of mass.
approximately how much air must be added to a lifting device to bring a 600 kilogram object to the surface? the object lies in 30 metres of fresh water.
The object lies in 30 meters of fresh water: The answer cannot be determined from the data provided.
The meter, image m, is the SI unit of the period. Its miles are described by way of taking the fixed numerical cost of the speed of mild in vacuum c to be 299 792 458 whilst expressed within the unit m s–1, in which the second one is defined in phrases of the caesium frequency ΔνCs.
One meter (39 inches) is a similar dimension to the yard above, however, use your arm with palms extended and measure to the top of the arms. that is a smooth manner to estimate yards and meters of twine, cloth, or ribbon.
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A following interval of _____ seconds provides time to steer out of problem areas on dry surfaces at speeds under 70 mph.
A interval of 7 seconds provides time to steer out of problem areas on dry surfaces at speeds under 70 mph.
In the SEEiT system helps to reduce driving risks. When the driver searches for new areas, he should look for open, curved and changing areas. The driver needs to adjust according to the new changes by measuring the intervals of seconds as steering around the risk can be done is lesser time than braking and the distance of steering < distance of stopping.
Thus, according to this system, a two second interval provides time to steer out of problem areas on dry surface at speeds under 35 mph, three second interval provides time to steer out of problem areas on dry surface at speeds under 45 mph and so on.
7 second interval provides time to steer out of problem areas on dry surface at speeds under 65-70 mph.
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a cylinder measuring 4.7 cm wide and 5.7 cm high is filled with gas. the piston is pushed down with a steady force measured to be .
When a piston is depressed, the steady force is 15 N.
How does balancing force work?Forces that are equal in size and opposing in direction are said to be balanced forces. Equilibrium is regarded as a state of balanced forces. There is no change in direction when the forces are in balance. Balanced combined forces are always equal to zero.
Unbalanced force: What is it?Unbalanced forces are those in which the force acting in one direction is greater than the force acting in the other. A change in speed and/or direction occurs when an object is being affected by unbalanced forces.
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when the temperature of an ideal gas is increased, which of the following also increases? select all that apply. the number of gas atoms the thermal energy of the gas the average potential energy of the gas atoms the mass of the gas atoms the average kinetic energy of the gas atoms
Gas particles travel more quickly and clash more frequently and more violently as temperature rises. When a container is hard, it cannot expand, increasing pressure.
The kinetic energy of a substance's molecules increases as its temperature is raised through heating.
As a result, pressure rises if temperature is raised while remaining constant.
Boyle's Law: The Relationship Between Pressure and Volume. Because the gas particles are compressed closer together as the pressure on a gas increases, the volume of the gas decreases. As a result of the gas particles' newfound freedom to move farther apart, the volume of the gas rises as the pressure on it falls.
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What are 4 types of waves?.
The various types of electromagnetic waves are as follows: Radio waves, X-rays, microwaves, and ultraviolet rays.
A wave is a dynamic disturbance that propagates and causes one or more quantities to depart from equilibrium. Quantities may oscillate regularly around an equilibrium (resting) value at certain frequency if a wave is periodic.
A travelling wave is one in which the entire waveform moves in one direction; in contrast, a standing wave is one in which two periodic waves are overlaid and move in the opposing directions. In a standing wave, there are some points where the wave amplitude seems reduced or even zero, and these positions have null vibration amplitudes.
A wave equation (standing wave field comprising two opposing waves) or a one-way wave equation (for single wave propagation in a certain direction) is frequently used to describe waves.
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a 12v battery output is divided down to obtain two output voltages. three 3.3k resistors are used to provide the two taps. determine the output voltages. if a 10k load is connected to the higher of the two outputs
The output voltages are V₁ = 8 voltages and V₂ = 4 voltages. If a 10k load is connected to the higher of the two outputs then the loaded value is 6.55 voltages.
What is Kirchoff's Current Law?Kirchoff's Current Law or KCL states that the algebraic sum of all currents entering and leaving a node must be equal to zero. This law is used to explain how a charge travels to and from a wire junction or node.
Let the two output voltages be V₁ and V₂ respectively.
By applying Kirchoff's Current Law (KCL) at V₁ node,
(Assuming all currents flowing in the outward direction from node)
Here, V = Volts
[tex]\frac{ V_{1} - 12}{3.3K}[/tex] [tex]+ \frac{V_{1} }{6.6K} = 0[/tex]
[tex]\frac{V_{1} }{3.3K} - \frac{12}{3.3K} + \frac{V_{1} }{6.6K} = 0[/tex]
[tex]\frac{V_{1} }{3.3K} + \frac{V_{1} }{6.6K} = \frac{12}{3.3K}[/tex]
[tex]\frac{V_{1} }{K} (\frac{1}{3.3} + \frac{1}{6.6} )= \frac{12}{3.3K}[/tex]
[tex]V_{1} (\frac{3}{6.6} )= \frac{12}{3.3}[/tex]
[tex]V_{1}= \frac{12*6.6}{3.3*3} = 8[/tex]
By applying KCL at V₂ node,
[tex]\frac{ V_{2} - 12}{6.6K}+ \frac{V_{2} }{3.3K} = 0[/tex]
[tex]\frac{V_{2} }{6.6K} - \frac{12}{6.6K} + \frac{V_{2} }{3.3K} = 0[/tex]
[tex]\frac{V_{2} }{6.6K} + \frac{V_{2} }{3.3K} = \frac{12}{6.6K}[/tex]
[tex]\frac{V_{2} }{K} (\frac{1}{6.6} + \frac{1}{3.3} )= \frac{12}{6.6K}[/tex]
[tex]V_{2}= \frac{12*6.6}{3*6.6} = 4[/tex]
By applying KCL at V node,
[tex]\frac{V-12}{3.3K} + \frac{V}{6.6K} + \frac{V }{10K} = 0[/tex]
[tex]\frac{V}{3.3K}-\frac{12}{3.3K} + \frac{V}{6.6K} + \frac{V }{10K} = 0[/tex]
[tex]\frac{V}{3.3K}+ \frac{V}{6.6K} + \frac{V }{10K} = \frac{12}{3.3K}[/tex]
[tex]\frac{V}{K}( \frac{1}{3.3}+ \frac{1}{6.6} + \frac{1}{10}) = \frac{12}{3.3K}[/tex]
[tex]V (\frac{18.3}{33} )= \frac{12}{3.3}[/tex]
[tex]V=\frac{12*33}{18.3*3.3} = 6.55[/tex]
Hence, the loaded value is 6.55 V.
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