The magnetic field is [tex]\vec{m}=\frac{Q}{3} R^2 \vec{\omega}[/tex]
How to calculate magnetic field?The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is moving through a magnetic field.
Uniformly charged spherical shell of radius R carries a total charge =Q
Hence it has surface charge density
[tex]\sigma=\frac{Q}{4 \pi R^2}[/tex]
It rotates about its axis with frequency=f
∴ Its angular velocity ω=2πf
Suppose the angular velocity [tex]\vec{\omega}=\omega \hat{z}[/tex]
To find the magnetic moment of spinning shell we can divide
it into infinitesimal charges. Using spherical polar coordinates (ρ,ϕ,θ) with origin at the center of the spherical shell, we consider infinitesimal area dS of a circular ring of infinitesimal width and of radius r located at a distance R from the origin on the surface of sphere.
Here [tex]\vec{r}=R \sin \theta \hat{r}[/tex] and coordinate ρ=R, is constant for each elemental area.
[tex]d q=\sigma d S=\sigma R^2 \sin \theta d \theta d \phi[/tex]
Current in the ring is given by
[tex]\begin{aligned}&d I=(d q) \times f=\left(\sigma R^2 \sin \theta d \theta d \phi\right) \times \frac{\omega}{2 \pi} \\&\Rightarrow d I=\frac{\omega \sigma R^2 \sin \theta d \theta d \phi}{2 \pi}\end{aligned}[/tex]
Now the magnetic dipole moment of ring is given by the expression in terms of position vector [tex]\vec{r}[/tex]current density [tex]\vec{J}[/tex]
[tex]\begin{aligned}&d \vec{m}=\frac{1}{2} \int_{\text {ring }} \vec{r} \times \vec{J} \\&\Rightarrow d \vec{m}=\frac{1}{2} d I \int_{\text {ring }} \vec{r} \times d \vec{l}\end{aligned}[/tex]
Line integral becomes equal to the circumference of ring
[tex]\therefore d \vec{m}=d I\left(\pi R^2 \sin ^2 \theta\right) \hat{z}[/tex]
Inserting value of dI we get
[tex]\begin{aligned}&d \vec{m}=\frac{\omega \sigma R^2 \sin \theta d \theta d \phi}{2 \pi}\left(\pi R^2 \sin ^2 \theta\right) \hat{z} \\&\Rightarrow d \vec{m}=\frac{\vec{\omega} \sigma R^4 \sin ^3 \theta d \theta d \phi}{2}\end{aligned}[/tex]
Total magnetic moment is integral with respect to both variables within respective limits
[tex]\begin{aligned}&\vec{m}=\frac{\vec{\omega} \sigma R^4}{2} \int_0^\pi \sin ^3 \theta d \theta \int_0^{2 \pi} d \phi \\&\Rightarrow \vec{m}=\frac{\vec{\omega} \sigma R^4}{2} \times \frac{4}{3} \times 2 \pi \\&\Rightarrow \vec{m}=\frac{4}{3} \pi \sigma R^4 \vec{\omega}\end{aligned}[/tex]
Rewriting in terms of charge Q
[tex]\begin{aligned}&\vec{m}=\frac{4}{3} \pi\left(\frac{Q}{4 \pi R^2}\right) R^4 \vec{\omega} \\&\vec{m}=\frac{Q}{3} R^2 \vec{\omega}\end{aligned}[/tex]
The complete question is : A spherical shell of radius R and uniformly charged with charge Q is rotating about its axis with frequency f. Find the magnetic moment of the sphere?
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when a mass m1is placed on top of a spring and allowed to come to rest, the spring iscompressed by an amount x1. how much would the spring compress if it is an elevatoraccelerating upwards at 3g and has a mass of 4m1placed on top of the spring?a)16x1b)12x1c)4x1d)7x1e)8x
The spring compresses if it is an elevator accelerating upwards at 3g is Option A. a)16x
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
Gravitational acceleration = g
Spring constant of the spring = k
Mass of the first block = m1
Compression of the spring due to the first block = X1
m1g = kX1
Mass of the second block = 4m1
Upward acceleration of the elevator = 3g
The force from the spring on the second block = F
Compression of the spring due to the second block in the elevator = X2
From the free-body diagram of the 4m1 block,
(4m1)(3g) = F - 4m1g
F = 16m1g
kX2 = 16m1g
kX2 = 16(kX1)
X2 = 16X1
Compression of the spring due to a 4m1 block placed on it in an elevator accelerating upwards at 3g = 16X1.
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what is the direction of the frictional force exerted on a coffee cup being pulled to the right across a table?
To the left. When a force is applied to stop it from moving, frictional force provides resistance.It always moves in the opposite direction of an item in motion
What is meant by frictional force?When a force is applied to stop it from moving, frictional force provides resistance.As a result, it always moves in the opposite direction of an item in motion.Friction acts on the right when force is applied to the left. The force produced by two surfaces coming into contact and sliding against one another is referred to as frictional force.The following variables impact the frictional force:Surface roughness and the amount of force pressing them together have the biggest an impact on these forces.A force that is applied to an object by a person or another object is known as an applied force.A desk is being subjected to applied force if someone is pushing it across the room.The person's force applied to the desk is known as the applied force.To learn more about frictional force refer
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What is the Inertia prasent in a stretched rubber
Answer:
inertia of motion ..........
two balls a and b, having different but unknown masses, collide. a is initially at rest when b has a speed v. after collision, b has a speed of v/2 and moves at a right angle to its original motion. find the direction in which the ball a moves after the collision.
If A ball is at rest, the moving ball's velocity vector must point to the center of the stationary ball.
Explain about the velocity vector?A velocity vector shows the rate of change in an object's position. The magnitude of a velocity vector represents an object's speed, whereas the vector's direction represents an object's direction. Velocity vectors can be added or removed in accordance with the principles of vector addition. the velocity vectors' length.
If we just state that a car is moving at 70 km/h, we have not fully described its motion because we have not stated the direction in which it is moving. Thus, a vector quantity such as velocity is an example.
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to what maximum height can water go as it goes into a 3.19-cm-diameter nozzle from a 9.00-cm-diameter fire hose while carrying a flow of 30.5 l/s? ignore drag, and assume that the nozzle points straight up.
Bernoulli's equation formula is a relation between pressure, kinetic energy, and gravitational potential energy of a fluid in a container. The formula for Bernoulli's principle is given as follows: p + 1 2 ρ v 2 + ρ g h = c o n s t a n t.
An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we want to accelerate an object. We have to put in work to apply a force. After the work is finished, the object will be moving at a new, constant speed because energy has been transferred to it. The science of fluid mechanics examines how fluids—including liquids, gases, blood, and plasma—behave both at rest and while moving. There are numerous uses for fluid mechanics in astrophysics, chemical and mechanical engineering, and biological systems.
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What type of mirror is being used in the image?
A. Plane
B. Concave
C. Convex
Answer:
b) Concave mirror
Explanation:
The type of mirror being used in the image is concave mirror. Dentist always use concave mirror to see patient's teeth. Hence, the option (b) is correct answer.
Answer: b or
✔ concave
Explanation:
Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. How does the light that passes through the second filter compare to the light that passed through the first filter?.
The direction of the polarized light after passing the first and the second filter are the same, however the intensity of the light after passing the first and second polarizer are half and fourth of its original intensity, respectively.
Light polarization is a filter of electromagnetic waves such that it propagates into one transmission axis only.
When light passes through a polarizer, its intensity will decrease by half.
Suppose the intensity of unpolarized light is I₀, after passing the first polarizer, its intensity becomes:
I₁ = 1/2 . I₀
After passing the second polarizer, the intensity will further decrease by half, or:
I₂ = 1/2 . I₁
I₂ = 1/2 .1/2 . I₀ = 1/4. I₀
Since both polarizers are vertical filters, then the direction of the polarized light after passing the first and the second filter are the same.
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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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Which of the following is not a method of making magnets? A. Induction B. Beating a magnet on an object C. Electromagnetic D. Rubbing a magnet agains an object
Beating a magnet on an object is not a method of making magnets. The correct option to this question is B.
What are methods to prepare magnet?Paper-clip Note Magnet
Making a magnet out of a paper clip is the simplest method.
Collect goods: A small piece of metal can be used to create a quick temporary magnet, like a paper clip or a refrigerator magnet.
The induction approach entails merely bringing the magnetic material (soft iron) close to a powerful magnet without making contact.
Magnet using the electro magnetic approach in an image
Utilizing transmitters, electromagnetic (EM) techniques produce powerful, time-varying main magnetic fields that cause electrical currents to flow through conductive rocks.
Instead of moving it back and forth in the same direction, rub the paperclip magnet against the object. To fire a game, make the same swift action.
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a basketball (hollow sphere) starts from rest and rolls down a hill without slipping. the hill is 70 meter high. total mechanical energy is conserved. find the linear speed of the basketball at the bottom in m/s.
The linear speed of the basketball at the bottom in m/s is 37.41 m/s.
The mechanical energy basket ball is conserved and the basket ball starts from rest. and roll down a hill of height 70m.
If mechanical energy is conserved,
Potential energy at top + kinetic energy at top = potential energy at bottom + kinetic energy at bottom.
At bottom, there is no potential energy, and at top, there is no kinetic energy.
Potential energy at top = kinetic energy at bottom.
Mgh = 1/2Mv²
M is the mass of the basketball,
v is the linear speed at the bottom,
h is the height of the ball.
Putting values,
v = √(2gh)
v = √(2x10x70)
v = 37.41m/s.
The speed of the basketball at the bottom is 37.41 /s.
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A 25.0 kg mass is traveling to the right with a speed of 3.00 m/s on a smooth horizontal surface when it collides with and sticks to a second 25.0 kg mass that is initially at rest but is attached to one end of a light, horizontal spring with force constant 190.0 n/m. the other end of the spring is fixed to a wall to the right of the second mass. what is the frequency?
The frequency of the given mass is 0.31Hz.
Frequency:
the term frequency refers to the number of waves that pass a fixed point in unit time. It also describes the number of cycles or vibrations undergone during one unit of time by a body in periodic motion.
Here we have to find the frequency.
Formula to find the frequency:
f = ω /2π
ω = [tex]\sqrt{\frac{k}{M} }[/tex]
= [tex]\sqrt{\frac{190}{50} }[/tex]
= 1.95
Now putting the values we have
f = 1.95/ 2π
= 0.31 Hz
Therefore the frequency is 0.31Hz.
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luisa is setting up a simple and cheap studio for her photography shoot by using a bulb inside a reflective shell that directs light forward and clips to the edge of a table. what is this device that luisa is using called?
Luisa is setting up a simple studio for her photography shoot using bulb inside a reflective shell that directs light forward and then clips it to the edge of table. The device that Luisa is using is called clamp light.
What is the importance of clamp light?Clamp light is a kind of lighting fixture used in films that is to hold a screw-in light bulb and sometimes it may also have an aluminum reflector dish and light is mounted with a spring clamp on one side of an open door.
Clamp lights are good addition to any artists or photographers. These are compact as well as portable. These lighting fixtures contain a gripping device so that it can be easily attached to tables, beams and other surfaces.
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two different capacitors, both charged to 1.5v by the battery, which will cause the light to stay lit longer, the one with the larger or smaller capacitance? explain what you did and observed to answer this question.
The capacitor with a larger capacitance will allow the bulb to remain lit for a longer period of time as compared to the capacitor with a smaller capacitance. We first created the largest capacitance by decreasing the separation and increasing the area and connected it to 1.5 V.
We then disconnected it and connected it to the bulb and observed how it was glowing. Then we obtained the lowest capacitance by increasing the separation and decreasing the area and again connected it to 1.5 V. Again, we disconnected it and connected it to the bulb and observed how it was glowing.
If you place a capacitor in a circuit containing a light bulb and a battery it will first charge the capacitor, and during that charge a non-zero current will flow through the circuit, lighting the light bulb. Capacitors can carry more current as the frequency of the supply voltage increases. As we have seen, alternating current can flow through a circuit with capacitance. The apparent resistance of a capacitor in an AC circuit is less than its DC resistance.
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is there a way of getting the cockpit from turning black after you get so high on the x plane 11 avro rj 100 jet?
Slewing the aircraft at low altitude is the only way of getting the cockpit from turning black after you get so high on the x plane 11 avro rj 100 jet. These are the traditional aircraft variety.
If you fly at high altitude in an aircraft which is not pressurized (or with wrong pressurization settings), the cockpit and external views will darken and then go black. If it happens, try slewing the aircraft at low altitude (<10.000 ft) and see if the image reappears after a while.
An aircraft is a vehicle or machine that is able to fly by gaining support from the air and has cockpit. It counters the force of gravity by using either static lift or by using the dynamic lift of an airfoil, or in a few cases the downward thrust from jet engines.
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a 5000 kg airplane is flying a circle with a diameter of 1 km as shown below in the figure. it takes the airplane 30 seconds to complete a trip around the circle. what is the angle of incline of the plane?
The angle of incline of the plane is 65.9°.
What exactly are inclination and plane?A basic device called an inclined plane with a sloping surface is used to lift heavy objects. Even after accounting for friction, the force needed to lift an object up an incline is less than the weight being raised. The needed force approaches the real weight closer with a greater slope or gradient.
m = 5000 kg
F =force by air
Diameter of circle
D = 1000m
R = D/₂ = radius of circle
Fcosθ =mg----1
Fsinθ = mw² R
Fsinθ = mw² R---2
from 1 and 2 ( divide 2 by 1)
tanθ = w² R/g = 4 πR/T²g
tanθ = 4 π 500/30²×9.8
tanθ = 29.236
θ = tan⁻¹(29.236) = 65.9°.
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a 60-kg uniform board 2.4 m long is supported by a pivot 80 cm from the left end and by a scale at the right end. how far from the left end should a 40-kg child sit for the scale to read zero?
Should a 40-kg youngster sit for a 60-kg uniform board's scale to read zero at x = 0.61 m from the left end Support for the 2.4 m long piece comes from a pivot 80 cm from the left end and a scale at the right end.
Given the information that M = 60 kg and m = 40 kg, Force is viewed as a reading. The provided pivot point's torque, N, is equal to Force*(2.4 - 0.80) = 1.6 Force. (counterclockwise)
0.4*60*9.8 = 235.2 N-m is the torque of magnesium about the specified pivot point (clockwise)
Mass m should be positioned to the left scale of the pivot, and its torque should be calculated as follows:
mg*(0.80 - x) = 40*9.8*(0.80 - x) = 392
when Force = 100 N
note 1.6Force = 160 235.2 (0.80 -x)
160 + 392(0.8 - x) = 235.2
x = 0.61 m
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you need to design a 60.0-hz ac generator that has a maximum emf of 5145 v. the generator is to contain a 160-turn coil that has an area per turn of 0.94 m2. what should be the magnitude of the magnetic field in which the coil rotates?
The magnitude of the magnetic field that is required in which the coil should rotate in order to produced required EMF is 0.09T.
The EMF induced in a rotating coil is given by the relation,
E = NBA(2πf)
Where,
E is the EMF induced,
N is the number of turns,
B is the magnetic field,
A is the area of the coil,
f is the frequency of the generator.
The frequency is given to be 60Hz, the EMF induced is 5145V, the number of coils is 160 turns and the area of the coil is 0.94m², putting the values,
5145 = 160 x B x 0.94 x 2 x 3.14 x 60
B = 0.09 T.
So, the magnitude of the required magnetic field is 0.09T.
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which has a greater luminosity, a star with absolute magnitude -2 or a star with absolute magnitude 13 ?
The total amount of energy that a star emits each second is measured by its luminosity.
What is Luminosity and magnitude?Some stars are noticeably brighter than others as one looks up at the night sky above the Earth. A star's brilliance, however, is influenced by its makeup and distance from the planet.A star's apparent magnitude, or how bright it appears to be from Earth, and absolute magnitude, or how bright it looks at a standard distance of 32.6 light-years, or 10 parsecs, are words used by astronomers to describe star brightness. (Light travels approximately 6 trillion miles (10 trillion kilometers) in a year, or one light-year.) A star's brightness, or how much energy (light) it radiates from its surface, is another quantity that astronomers measure.Although the concept of measuring star brightness is not new, astronomers now use more sophisticated tools to make the calculation.
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if we could put all the asteroids in the asteroid belt together, their total mass would be .
If we could place all the asteroids collectively, their general mass would be much less than the mass of any terrestrial planet.
The whole mass of the asteroid belt is expected to be 2.39×1021 kg, which is just three% of the mass of the Moon. The 4 biggest items, Ceres, Vesta, Pallas, and Hygiea, account for perhaps 62% of the belt's total mass, with 39% accounted for by way of Ceres on my own. Gravitational tugs from Jupiter avoided fabric from accumulating collectively to shape a planet.
The 4 biggest asteroids inside the belt are known as Ceres, Vesta, Pallas, and Hygiea. these huge asteroids make up about half of the mass of the complete asteroid belt. Scientists like to mention that in case you blended all of those rocky asteroids collectively, it might make a planet a piece smaller than Earth's moon.
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how does the frequency of the transverse wave change as it moves into a new medium, from a gas to a liquid?
Transverse waves cannot be formed in liquids or gases because they lack the ability to bend their shape. Transverse waves include, for instance, light waves.
What is Transverse wave?Transverse waves are a particular sort of wave motion where the particle movement is perpendicular to the direction of wave propagation. Both the surface of liquids and solids can produce it.A traveling wave whose oscillations are perpendicular to the wave's direction is said to be transverse. By fastening one end of the string and moving the other up and down, you can easily make a wave on a horizontal piece of string.Because the particles move in a direction that is opposite to the direction of the wave, this sort of wave is given its name. Transverse waves may be electromagnetic or mechanical in nature. A disturbance that moves through a medium is called a mechanical wave.To learn more about Transverse wave refer to:
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imagine we've discovered a planet orbiting another star at an average distance of 1 au with an orbital period of 6 months. the planet has a moon that orbits the planet at the same distance as our moon, but it takes 2 months to complete an orbit. what can we infer about this planet?
This planet is less massive than the Earth, as we can deduce.
What is meant by the orbital period?
A measure of how long it takes for one complete orbit of a celestial body to complete In terms of time, "the orbit period depends on the satellite altitude." the length of time needed for one cycle of a phenomenon that repeats itself frequently.
What are rotation and revolution?
An object rotating around its axis is referred to as turning. An object's orbital movement around another thing is called a "revolution." A 24-hour day, for instance, is created when the Earth rotates on its axis. The 365-day year results from the Earth's rotation around the sun.
Therefore, it is lesser massive than Earth.
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a car enters the freeway with a speed of 5.9 m/s and accelerates uniformly for 3.3 km in 2.9 min. how fast is the car moving after this time?
The car will move fast with the velocity of 32.03 m/s
What is acceleration?Acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.Acceleration is a vector quantity, since it has both a magnitude and a direction. A vector quantity is also velocity. The velocity vector change during a time interval divided by the time interval is the definition of acceleration. The limit of the ratio of the change in velocity during a given time interval to the time interval as the time interval approaches zero determines the instantaneous acceleration (at a specific time and location) For instance, acceleration will be stated in meters per second per second if velocity is expressed in meters per second.Calculation
Initial velocity(u) = 5.9 m/s
Distance traveled = 3.3 km = 3300 m
Time = 2.9 min = 2.9×60 = 174 seconds
Formula,
[tex]s=\frac{1}{2} (u+v)t[/tex]
[tex]3300=\frac{1}{2} (5.9+v)*174[/tex]
[tex]v= (\frac{6600}{174} -5.9)m/s[/tex]
v = 37.93–5.9 = 32.03 m/s
Hence, the car will move fast with velocity = 32.03 m/s
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what would happen if you strike the pipe with supports placed at the nodes for the first vibration mode
If you strike the pipe with supports placed at the nodes for the first vibration mode, you will experience a vibration that has a frequency of about 5 Hz.
The amplitude of this vibration will be approximately 1.5 mm and it will occur in a single direction. This means that the pipe will vibrate up and down, but not side to side.
The vibrations caused by striking the pipe will not last very long. In fact, they are only likely to last for about 0.1 seconds before they disappear entirely. They may also cause damage to nearby objects like walls or furniture if they are located too close to where you strike the pipe.
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what is the work done by the force of gravity on the beachball during this process? give your answer with the correct sign (positive or negative).
The force that pulls items toward the center of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity.
Is work done by gravity positive or negative?Work done by a force is defined as the sum of an object's or particle's displacement and the component of the force acting in the direction of the object's motion.The product of an object's displacement and the component of the applied force that is directed in the direction of the object's displacement is known as the work done by a force.Depending on which way an object is going, the amount of work done to overcome gravity can either be negative or positive.The work done by gravity will be negative if the object goes upward since gravity pulls in the opposite direction from the displacement. The work done by gravity will be positive if an object moves downward since both gravity and displacement are moving in the same direction.To Learn more About gravity refer to :
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based on the output, which is the best reason to use a power model to describe the relationship between the length and period of a pendulum? the standard deviation of the residuals is small.
The scatter plots of log (length) vs. log (time) have a linear relationship, while the residual plot lacks any discernible patterns.
What is power model equation?Learn to identify situations that can be described by power models, inverse power models, and quadratic models in the "Power Models" unit. You'll also learn to compare patterns in tables and graphs of models with the formulas y = ax2, y = ax3, y = a/x2, y = a/x3, and y = ax2 + bx + c.
They also start to grasp the concept of rate of change within the context of these models. Here, some specific abilities are developed, such as simplifying exponential and radical expressions and solving quadratic equations graphically. The terms and ideas of direct and inverse variation are also taught.
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they are usually present during planet formation and then eventually dissipate. what temperature is the material in this disk at? show your work and explain your reasoning clearly.
A protoplanetary disc, also known as a TTS, is a rotating disc of dense gas encircling a young, recently created star. If the disc is large enough, runaway accretions start, leading to the fast development of Moon- to
Mars-sized planetary embryos in 100,000–300,000 years. The protoplanetary disc, from which planets are (theoretically) generated, is a disc of gas (99% of its mass) and dust (1% of its mass) around a young star.In a sense, the Solar System's "leftovers" can be compared to these debris discs. As the name suggests, asteroids make up the majority of the asteroid belt. Between the orbits of Mars and Jupiter, it can be found in a ring of material.The collapse of the solar nebula was most likely brought on by a shock wave from a nearby supernova explosion. The planets formed in a thin disc around the Sun, which formed in the center of the solar system.To know more about protoplanetary
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What happens to the energy in a system of magnets when the magnetic force causes two magnets to move?.
When the two magnets are made to move, the energy of the system in the system tends to change potential energy into the kinetic energy
Potential energy is the energy stored in the body while is at rest which would turn into kinetic energy when the object will initiate motion. This conversion of potential energy to kinetic energy is understood by the Work-Energy theorem. The kinetic energy is formulated as,
K.E. = 1/2 mv²
where K.E = Kinetic energy
m = mass of an object
v = velocity of the object
The work-energy theorem is stated as the products of all the forces acting on the system are equal to the difference in kinetic energies.
∑W = ΔK.E
where W = Work done on the system
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Compare the use of an electric bicycle with a normal bicycle used
to cycle a 5 km uphill route. The cyclist does not pedal when using
the electric bike to cycle uphill.
Information about the two bikes is given in Table 1.
Table 1
Information
power of the motor
force used to drive the
bicycle forward
weight of bicycle
battery life
time to travel 5 km
Electric bicycle
350 W
50 N
190 N
25 minutes
12 minutes
Ordinary bicycle
no motor
47 N
120 N
no battery
13 minutes
Your answer should contain descriptions of work done, energy
transfers, and power.
The work done by the ordinary and electric bicycle are 235 KJ and 250 KJ respectively and the output power of ordinary and electric bicycle are 0.3 KW and 0.35 KW respectively.
W = F d cos θ
P = W / t
W = Work done
F = Force
d = Distance
P = Power
t = Time
θ = 0
d = 5 km = 5000 m
For Electric bicycle
F = 50 N
t = 12 min = 720 s
W = 50 * 5000 * cos 0
W = 250000 J
W = 250 KJ
P = 250 / 720
P = 0.35 KW
For ordinary bicycle,
F = 47 N
t = 13 min = 780 s
W = 47 * 5000 * cos 0
W = 235000 J
W = 235 KJ
P = 235 / 780
P = 0.3 KW
Therefore, the work done by the ordinary and electric bicycle are 235 KJ and 250 KJ respectively and the output power of ordinary and electric bicycle are 0.3 KW and 0.35 KW respectively.
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Protons carry ___ compared to electrons.
A) an equal magnitude of charge
B) more magnitude of charge
C) less magnitude of charge
Pick ONE only.
Answer:
Explanation:
Protons carry an equal magnitude of charge compared to electrons.
A) an equal magnitude of charge
Protons carry an equal magnitude of charge compared to electrons. Thus, option A is correct.
A proton is a stable subatomic particle occurring in all atomic nuclei, with a positive electric charge equal in magnitude to that of an electron, but of the opposite sign.
An electron is a stable subatomic particle with a negative electric charge, found in all atoms, and acts as the primary carrier of electricity in solids.
Although the mass of a proton is much larger than that of an electron, the magnitudes of their charges are equal.
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Nuclear power plant meltdowns can be hazardous. Which of these is a result
related to the meltdown of a nuclear power plant?
O significant changes in sea level in the region
O change in weather conditions in a widespread area
O increased production in carbon dioxide as air pollution
O dangers to the health of people and the environment Science