Equation (8.10) provides the following form for the angular acceleration "alpha," which is proportional to the radius "rr," and the tangential acceleration "aa."
What is the wheel's angular acceleration?A wheel's angular acceleration is alpha = 6.0t4 - 4.0t2, where alpha is measured in radians per second squared and t is measured in seconds. The wheel has an angular position of +1.0 rad and an angular velocity of +2.0 rad/s at time t = 0.
=rα \s1: The most popular units for angular acceleration are rad/s2 and rad/s. 2 . Similar to how a + or - sign designates the direction of linear acceleration in one dimension, a + or - sign designates the direction of angular acceleration along a fixed axis.
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If the X-component of the momentum is 460000 Kg.m/s and the Y-component is
230000 Kg.m/s. Find the magnitude of the momentum [r].
The the magnitude of the momentum is 514295 Kg·m/s.
What is momentum?Momentum is the product of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction.
Given parameters:
X-component of the momentum : Pₓ = 460000 Kg.m/s
Y-component of the momentum : [tex]P_Y[/tex]= 460000 Kg.m/s
We have to find; the magnitude of the momentum : P = ?
We know that momentum is vector quantity and the magnitude of the momentum : P = √( Pₓ² + [tex]P_Y[/tex]²)
= √(460000² + 230000²) Kg.m/s .
= 514295 Kg·m/s .
Hence, the the magnitude of the momentum is 514295 Kg·m/s.
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an unbalanced force is applied to a mass, producing an acceleration. if the same unbalanced force is applied to a mass one-half as large, the resulting acceleration will be
When an imbalanced force is applied to a mass, an acceleration results. When the same unbalanced force is applied to a mass that is half as large, the resulting acceleration doubles.
The rate at which an object's velocity with respect to time changes is called its acceleration. The vector quantity of accelerations (in that they have magnitude and direction). The direction of the net force acting on an object determines its acceleration in relation to that force.
An influence that can alter an object's motion is known as a force. A force can cause an object with mass to change its velocity, or accelerate (for example, moving from a condition of rest). Intuitively, a push or a pull can also be used to describe force.
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.
Explain how heating a gas can lead to: no change in the kinetic energy of the gas.
Heating of gas leads to change in kinetic energy of the gas.
As the temperature of the system increases, the molecules in it begin to move faster, and the speed of the particles is directly proportional to the kinetic energy.
Kinetic energy is the energy possessed by the gaseous particles while they are in motion.
Mathematically, KE = (1/2)mv^2,
where KE is kinetic energy, m is mass, and v is velocity.
When the temperature of a gas increases but the pressure remains the same, the volume of the gas increases, which means that the molecules must cover more space in the same amount of time by moving faster.
Kinetic energy increases as collisions between different molecules increase and the speed of motion increases. This behavior is demonstrated by Charles's law with the equation V/T = k. In this equation, V is the volume and T is the temperature, and the two are directly proportional. Similarly, temperature and pressure are also directly related, as in the Pressure law equation, P/T = k, where P is pressure and T is temperature.To know more about kinetic energy,
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Pls help answer this
Answer: The rods both have the same charge therefore they repel each other. The force of repulsion creates a downward force on the balance pan and therefore the balance registers a higher reading.
what is the damping ratio of a series rlc circuit with a resistance of 100 ohms, an inductance of 0.1 mh and 100 pf?
Because using maximum current, it resonant current, and the supply voltage is 100 V (Vs = RI = 1000 x 0.1). Equating the reactances of the inductive and capacitive components the resonant frequency, f° =159.155
What do current and an electron mean?Electron current is the name for the movement of electrons. Negative to positive electron flow occurs at the terminal. Conventional current, or just current, behaves as though positive charge carriers are what produce current flow. From the positive terminal towards the negative, conventional current flows.
What is current fundamental law?Ohm's law, or V=IR, is the most fundamental electrical law. The V indicates the potential difference between two chargesdifference of two charges is indicated by the V, which stands for voltage. Alternatively, it measuressaid, it is a measurement of the effort necessary to transfer a unit charge between two places.
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Define momentum pls NOW
two watermelons are dropped from the same height. one is cracked on the pavement. the other one is intact when dropped on the grass lawn, which is a result of
One watermelon cracked on the pavement while the other one is intact when dropped on the grass lawn because of the momentum transfer.
A wave contains momentum and could be a vectorial amount. The contrast between the momentum of the scattered wave to the occurrence wave is called momentum transfer.
In Newtonian mechanics, energy (more particularly straight energy or translational momentum) is the item of the mass and speed of a question.
It may be a vector amount, having a size and a course. If m is an object's mass and v is its speed (moreover a vector amount).
In the Universal Framework of Units (SI), the unit of estimation of energy is the kilogram meter per moment (kg⋅m/s), which is identical to the newton-second.
When an object hits the ground, the energy exchanged from the protest to the ground indeed is its momentum transfer.
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a 5.0 g bullet moving 325 m/s is shot into a 1.25 kg block, which slides for 1.35 seconds across the surface it is on before coming to rest. what is the average force of kinetic friction between the block and the surface?
The average force of kinetic friction between the block and the surface is 0.00601N
v=u +at
v=at
t=v/a -----------1
d=at²/2 ------------2
Putting the value of t in eq 2
d=v²/(2a)
a=v²/(2d) -----------3
Putting the value of a in equation F=ma
F=ma ⇒ m [v²/(2d)]
In the question , m= 5g = 0.005kg , ∨=325m/s
Meanwhile distance=speed x time
distance=[ 325 x 135 ]
distance , d = 43875 m
F= m [v²/(2d)]
=0.005 {(325)²/(2x43875)}
=528.125/87750
=0.00601851852 N
≅0.00601N is the approximate force of kinetic friction between the block and surface.
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An astronomical telescope is used to view distant stars. How does the angle between the just-resolvable light from two stars differ if the average light from the stars is red or if it is blue?.
With an astronomical telescope, the angle of just resolution light from two stars would be greater if the light of the average star is red or if it is blue.
What is an astronomical telescope?
An astronomical telescope consists of two lenses: objective and eyepiece.
The objective lens forms the image of a far off object at focal point while eyepiece lens just magnifies the image and make it look more clear, visible and magnified.
The formula D = 1.22λ/dФ is used to find the value of aperture of the telescope.
In general, an astronomical telescope is used to view distant stars. Thus, the angle formed would be greater if the light emitted by the average stars is red or blue.
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a 4.3 kg object is suspended by a string from the ceiling of an elevator. the acceleration of gravity is 9.8. determine the tension of the string if it is accelerating upward at a rate of 2.1
The tension of the string is due to the mass suspended at a weight of 4.3 kg is 51.57N
The mass of the object = 4.3 kg
The acceleration due to gravity = 9.8 m/s²
The accelerating of the string upwards = 2.1 m/s²
The tension of the string can be found using the formula,
T = m(g + a)
where T is the tension of the spring
m is the mass of the object
g is the acceleration due to gravity
a is the acceleration upwards.
Let us substitute the known values in the above equation, we get
T = 4.3 ( 9.8 + 2.1)
= 4.3 ( 11.9)
= 51.57
Therefore, the tension on the string is 51.57 N
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A 5kg cat is lifted 2meters into the air. how much gpe does it gain?
Answer:
98
Explanation:
You are asking for the pe right? I think this is right
Potential Energy= mgh = (5)(9.8)(2)= 98
consider the properties of a string that has a length of 1.0 m and a wave speed of 45 m/s. show answer no attempt what is the fundamental frequency in hz of the string?
By using simple harmonic motion, it can be calculated that The fundamental frequency of the string will be 45Hz.
The wavelength of the standing wave for any given harmonic is related to the length of the string.
Considering the wavelength is equal to the length of the string. It means one wavelength is equal to the length of the string. If more wavelength is made then answer would be different.
so we have wavelength = 1m
wave speed = 45 m/s
as we know that from simple harmonic motion,
frequency = speed/wavelength
frequency = 45/1
frequency = 45 Hz
Hence frequency of the string is 45 Hz.
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the distance between two successive minima of a transverse wave is 2.76 m. five crests of the wave pass a given point along the direction of travel every 14.0 s. find (a) the frequency of the wave and (b) the wave speed.
The wave's frequency is 0.35 Hz, and its velocity is 0.9857 m/s. Wave speed is the amount of space a wave covers in a certain length of time, such as how many meters it covers in a second.
How fast or how fast is a wave?Despite the fact that technically, velocity implies both direction and speed wave velocity is most often used to describe speed. Wave intensity has no bearing on a wave's velocity, which is determined by the product of the its wavelength and frequency.
Wave speed and frequency: what are they?A stationary point is traversed by waves at a specific frequency over a specified period of time. The following equation demonstrates the connections between the three variables: Wavelength × Wave Frequency = Speed. This equation uses the units of meters for wavelength and hertz (Hz) for frequency, or the number many waves per second.
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In order for work to be done on an object, the force must be in the same direction as the object moves. true or false?
Answer:
True
Explanation:
because in science work is only said to be done when the body moves through the distance of the force applied
prior to the discovery of atmospheric pressure, the failure of wine to pour from the bottom of a barrel unless an opening was made in the top was explained by:
Horror vacui or Nature abhors a vacuum is the principle that explain the inability of wine to pour from the bottom of a barrel without a top opening.
What is Horror vacui ?In physics, horror vacui, or plenism, is a postulate attributed to Aristotle. He articulated a notion, later questioned by the atomism of Epicurus and Lucretius, that nature contains no vacuums since the denser surrounding material continuum would fill the rarity of an incipient void right away.
He also argued against the void in a more abstract sense, saying, for instance, that since a void is nothing by definition, it cannot be said to exist. This is in line with Plato. Furthermore, because it wouldn't have any features, it couldn't be perceived by the senses and its supposition wouldn't be able to add to the explanation.
Thomas Hobbes, Robert Boyle, and others debated the theory in the context of fluid mechanics in the 17th century. Sir Isaac Newton and Gottfried Leibniz continued the discussion in the early 18th century.
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a baseball player hits a foul ball straight up into the air. it leaves the bat with a speed of 50 mph. in the absence of air resistance, how fast will the ball be traveling when the catcher catches it?
120 KM/H is the ball's speed when this is caught at same height, therefore the speed is the same but the direction is different.
what is the importance of speed?Your muscles are powerless, frightful, and helpless without speed. Just for display and to assist friends who are moving large pieces of furniture. The good news is also that speed may be acquired through the appropriate fitness training.
What are time, speed, and motion?The distance an object covers in a predetermined period of time is referred to as its speed. Things are either thought to be moving swiftly or slowly depending on their pace of motion. Speed equals Distance x Time. Time and distance in the SI are measured in seconds (s) and meters, respectively (m). The metre every second (m/s) is the unit of speed in the metric system.
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An astronomical telescope is used to view distant stars. How does the angle between the just-resolvable light from two stars differ if the average light from the stars is red or if it is blue?.
The angle of just resolution light from two stars is greater if the light of the average star is red or if it is blue.
The formula to find the aperture of the telescope
D = 1.22λ/dФ
Limits of resolution:
The limit of resolution is a measure of the ability of the objective lens to separate in the image adjacent details that are present in the object.
There is diffract in the light when it passed through space and gets bent around obstacles. Diffraction grants disperse light according to wavelength, for example, it can be used to produce spectra.
Therefore an astronomical telescope is used to view distant stars. The angle is greater if the light of the average stars is red or if it is blue.
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A hair dryer uses the energy from the plug in order to power a small fan that blows air. When a hair dryer is being used, which is one of the energy transformations that takes place?.
Energy transformation takes place when using a hair dryer, electrical energy into kinetic energy and thermal energy.
Energy can be converted according to the law of conservation of energy. Every object transforms the original form of energy into another form called a converter. Every electrical device works to convert electrical energy into other forms.
A microwave converts electrical energy into thermal energy.A lightbulb converts electric energy into light energy.A mixer converts electric energy into kinetic energy.When we use a hairdryer
The temperature of small wires inside it will be raised because the electrical energy transforms into thermal energy.The motion of a small fan happens because the electrical energy transforms into kinetic energy.The small fan gonna blows the air between hot wires and creates hot air that comes out from it.Learn more about Energy Convertion here: https://brainly.com/question/961052
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If two vehicles approach an uncontrolled intersection at about the same time, who must yield?.
If two vehicles approach an uncontrolled intersection at about the same time the driver of the vehicle on the left shall yield the right-of-way to the vehicle on the right.
A driver proceeding through an uncontrolled intersection must yield to a vehicle to their right, as that vehicle has the right of way even though the two vehicles arrived at the same time.
At an uncontrolled intersection, the Vehicle A driver must yield to traffic on its right and proceed with caution only when it is safe to do so. Therefore, they would be found 100% responsible.
Therefore when two vehicles approach an uncontrolled intersection on the same side then the vehicle on the left shall yield the right-of-way to the vehicle on the right.
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how many times more gravitational potential energy would the same lander have on top of a 350-m hill on earth?
The same lander's gravitational potential energy on top of a 350-meter hill on Earth would be 6.
What is gravitational potential energy?The law of gravity gives rise to the generic term for gravitational potential energy, which is equal to the effort made to defy gravity in order to move a mass to a specific location in space. It makes logical to choose the gravitational potential energy zero at an infinite distance away because, due to the inverse square nature of the gravity force, the force approaches zero for huge distances. Since gravity performs positive work as a mass approaches a planet, the gravitational potential energy is then negative.When a mass approaches a huge body, it enters a "bound state," where it is trapped until an external source of energy enables it to break free. The gravitational potential energy of mass m has the following general form: [tex]U= \frac{-GMm}{r}[/tex]Where r is the distance between their centers, M is the mass of the attracting body, and G is the gravitational constant.This is the gravitational potential energy representation that can be used to determine an object's escape velocity from the pull of the earth's gravity.To learn more about gravitational potential energy, refer to
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if the height of the mercury column in the leveling bulb is 10 mm greater than that in the gas buret and atmospheric pressure is 670 mm, what is the pressure on the gas trapped in the buret? (hint: raising the leveling bulb, increases the p on the gas)
The pressure on the gas trapped in the buret is 680 mm.
The air around you has weight, and it presses against everything it touches. That strain is referred to as atmospheric pressure or air pressure. it's miles the force exerted on a surface by way of the air above it as gravity pulls it to Earth. Atmospheric strain is normally measured with a barometer.
Atmospheric pressure strain is the pressure exerted via the air around us while Atmospheric stress is the stress exerted by means of the environment on the earth. Air pressure is measured with the aid of a tore gauge while atmospheric stress is measured with the use of a mercury barometer.
Given;
If the height of the mercury Column in the leveling bulb is 10 mm greater than the gas buret and the atmos[pheric pressure is 670 mm.
The pressure on the gas trapped in the buffet = 670 + 10
= 680 mm
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What did galileo galilei and isaac newton believe about theories of the natural world?.
Galileo Galilei and Isaac Newton disputed the Aristotelian view that the sun should be at the center of the cosmos and believed that the earth was the center of the universe which is about theories of the natural world.
Unlike the Aristotelians, who believed in observation to look for natural circumstances, their view of nature was founded on experimental results. The basic means of communication with the world in the Aristotelian scientific tradition was observation and the pursuit of "natural" conditions. Galileo investigated earthly motion laws and established the principles of gravity.
First, Newton firmly established the laws of motion and connected them to Kepler's equations of planetary motion. Until Newton, there was no clear link between celestial body motion and earthly physics.
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how does the final kinetic energy of the lighter box compare to the final kinetic energy of the larger box?
If the heavier object and the heavier object are moving at the same speed, the answer is yes.
What is kinetic energy?Simply put, an object's kinetic energy is the amount of energy expended, or work put into it, to accelerate it from rest to a specified velocity, let's say v.The mass of an object is relevant in this situation because it will influence how much labor is required to accelerate it and provide it with kinetic energy.More specifically, a heavier object that travels from rest to the same velocity v will have a lower kinetic energy than a heavier object since the latter requires less work to do so.The object's kinetic energy can be represented as a function of its velocity and of its mass kinetic energy after it achieves velocity v.=1/2×mass×velocity2To learn more about kinetic energy refer to:
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the dragster in problem 20 completed the 402.3 m (0.2500 mile) run in 4.936 s. if the car had a constant acceleration what would be its acceleration and final velocity?
The final velocity is 163.04m/s.
Solution:
Use equation x = 1/2at^2
402.3 = 5a(4.9360^2
A = 33.03m/s^2
Final velocity
V = Vo +at
= 0 + 33.03(4.936) = 163.04m/s
Velocity is the rate of change of position with respect to time, and acceleration is the rate of change in velocity. Both are vector quantities, but velocity is in meters/second and acceleration is in meters/second squared. Determines the height from which the object fell. Multiply the height by the acceleration of the object due to gravity.
Acceleration is the rate of change of velocity over a specified time. Calculate acceleration by dividing the change in velocity by the change in time. People mistakenly believe that the terminal velocity of a falling object is zero because the object stops as soon as it hits the ground. In physical tasks, terminal velocity is the velocity just before touching the ground. Objects no longer free fall when colliding with the ground.
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light of wavelength 585.0 nm illuminates a slit of width 0.80 mm. (a) at what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.95 mm from the central maximum? m (b) calculate the width of the central maximum. mm
The width of the central maximum is 1.9×10-3 m.
For the distance L, where
light wavelength λ= 585 nm =585 x 10-9 m
Slit width yields sw =0.80 mm= 0.80 x 10-3 m
(a) First, we deduce that the minimum integer value m= 1 for the central maximum distance yields a minimum diffraction value from the center distance as Yc=0.95 mm 0.95 x 10-3 m. This relationship can be
calculation:-
yc=L sinθ=L(mλ/sw) ----------(1)
Therefore, rearranging terms from the above equation, we get:
L=sw/λ(yc)
Whereby substituting initial values, the screen distance equation produces:
L=[(0.80×10-3)/(585×10-9)](0.95×10-3)
=1.3 m
(b) Now, we deduce that the central maximum yields from equation (1):
W = 2 (yc)
Therefore, substituting initial values, we get:
W = 2 (0.95 x 10-3 m)
=1.9×10-3 m
Wavelength is the distance among the same points (adjacent crests) within the adjoining cycles of a waveform signal propagated in space or along a wire. The wavelength is the distance between two wave crests, and it will likely be the same for troughs. The frequency is the number of vibrations that bypass a given spot in a single.
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. A girl of mass 35 kg and boy of mass 25 kg are connected by a light rope. They move horizontally in a skating rink. A second rope is attached to the girl and with this second rope, she is pulled by a force of 300 N. The magnitude of their acceleration is ?
The magnitude of the acceleration of the boy and the girl is 5 m/s².
What is the acceleration of the boy and the girl?The magnitude of the acceleration of the boy and the girl is determined by applying Newton's second law of motion as shown below.
F = ma
where;
F is the net force on the boy and girl = Tm is total mass of the boy and the girl = m₁ + m₂a is the common acceleration of the boy and the girlsubstitute the given parameters and solve for the common acceleration of the boy and the girl
a = T/(m₁+ m₂)
a = (300 N) / (35 kg + 25 kg)
a = 5 m/s²
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the orion nebula (at least the part we can see) is not very old (yet). while several hot, massive stars have had a chance to form in the nebula, none of them has been around long enough to go supernova. so relative to supernova remnants, and other areas where the gasses have been 'mixed' with the wreckage from exploded stars, what can you say about the iron levels you'd expect to see in the orion nebula?
One of the brightest nebulae in the night sky, the Orion Nebula may be seen with the unaided eye. The Trapezium is a young open cluster of four main stars in this magnitude 4 interstellar cloud of ionized atomic hydrogen.
What is the source of the Orion Nebula's crimson glow?The hydrogen gas in the Orion Nebula, which is powered by radiation from young stars, gives off a crimson tint. The nebula's blue-violet regions are reflecting radiation from bright, blue-white O-type stars while the red areas are emitting light.The Orion Nebula is one of many massive clouds of gas and dust in our Milky Way galaxy, say contemporary astronomers, and is one of the largest. It is approximately 1,300 light years away from Earth. This enormous hazy cocoon, which measures approximately 30 to 40 light-years in diameter, is generating potentially a thousand stars.To learn more about Orion nebula refer to:
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neptune's moon triton shows: neptune's moon triton shows: extensive cratering, consistent with a young surface. little cratering, telling nothing about the age of its surface. little cratering, consistent with a young surface. extensive cratering, consistent with an old surface. little cratering, consistent with an old surface.
e) little cratering, consistent with a young surface.
What are the features of NeptuneNeptune is a dark, cold, and windy planet.It is the final planet in our solar system. It is more than 30 times farther away from the sun than Earth. Neptune and Uranus are very similar. It is composed of a dense fog of water, ammonia, and methane that surrounds an Earth-sized solid center. It has a hydrogen, helium, and methane atmosphere. Neptune has the same blue color as Uranus due to methane. Neptune has six rings, but they are difficult to see.Neptune has fourteen moons.Neptune is the eighth and farthest-from-the-Sun planet. That means Uranus is Neptune's only planet neighbor.On Neptune, a day lasts 16 hours.Neptune's orbit around the Sun is so long that it takes 165 Earth years to complete one orbit.
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Which of acceleration, age, speed, temperature, and velocity are vector quantities?.
Velocity and acceleration are vector quantities whereas speed, temperature and age are not.
What is a vector quantity?Vector is a quantity that has both magnitude and direction and is represented by an arrow whose direction is same as that of the quantity and length is proportional to the quantity's magnitude.
Vector has magnitude and direction but it does not have position. Velocity and acceleration both are vector quantities as they have magnitude and direction.
If the speed of an object remains same but direction changes then the object is accelerating. It is important to remember that acceleration and velocity aren't always in the same direction.
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Which variable is NOT shown on a velocity-time graph?
Acceleration is the variable that is NOT shown on a velocity-time graph
Velocity - time graph, evidently shows two variables, velocity on one axis and time on other . But as we know , that acceleration can be calculated by the formula which is
acceleration = change in velocity / time
hence , the derivative of velocity is acceleration
which mean that the slope of the Velocity - time graph shows the acceleration , which cannot be seen , but is hidden as the slope of that graph
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