The potential difference across a and b is 15 v. determine the electrical charge on the 3 μf capacitor will be 45 * [tex]10^{-6}[/tex] C
Capacitance, property of an electric conductor, or set of conductors, that is measured by the amount of separated electric charge that can be stored on it per unit change in electrical potential. Capacitance also implies an associated storage of electrical energy.
Charge (Q) stored in a capacitor is the product of its capacitance (C) and the voltage (V) applied to it. The capacitance of a capacitor should always be a constant, known value. So we can adjust voltage to increase or decrease the cap's charge. More voltage means more charge, less voltage... less charge.
charge = capacitance * voltage
Q = CV
= 3 * [tex]10^{-6}[/tex] * 15 v
= 45 * [tex]10^{-6}[/tex] C
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A resistor, an inductor, and a capacitor are connected in series to an ac source. under what conditions will the impedance of the circuit increase as the inductive reactance increases?
180° is the phase angle. An AC source is linked in series with a resistor, an inductor, and a capacitor. Inductive reactance rises with frequency because an alternating current has a time-averaged rate of change that is proportional to frequency.
Impedance of RLC series circuit
2= P²R² + (XL-X₁) ²
Here & 4 tan² (x₁=X₂) $ R +1 180° tan (XL R tan 180° = XL-X C R XL-XC R ..
XL-XC R X₁-X ₁ = 0 XL = Xc 2 = √√√ R² + 0² 2 2 = R
Resonance is the condition in question here. When induction occurs as well as capacitive reactances equal are equivalent but cancel due to the fact that they have degrees of phase separation. During resonance, Impedance is very low.
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How much brighter is a sun-like star than the reflected light from a planet orbiting around it?.
It is about a billion times brighter.
What is the brightness of a star called?A star's apparent magnitude, or how bright it seems to be from Earth, and absolute magnitude, or how brilliant it looks at a standard distance of 32.6 light-years, or 10 parsecs, are words used by astronomers to describe stellar brightness. How bright are planets compared to stars?Although planets and stars light up the night sky, planets usually appear much brighter than most stars. Astronomers use astronomical scales to measure the relative brightness of celestial bodies, and many planets fall within the range easily visible to the eye.To learn more about planets from the given link
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A boy on board a cruise ship drops a 30. 0 gm marble into the ocean. If the resistive force proportionality constant is 0. 500 kg/s. What is the terminal speed of the marble in m/s?.
The terminal speed of the marble is 0.588 m/s.
Calculation:We know that,
F = mg ......(1)
where,
F = force
m = mass
g = acceleration due to gravity
Also,
v = F/k ......(2)
where,
v = terminal speed
k = proportionality constant
Substituting the value of F from equation (1) in equation (2)
v = mg/k .......(3)
Given,
m = 30 g = 0.030 kg
k = 0.500 kg/s
g = 9.8 m/s²
To find,
v =?
Put the values in equation (3)
v = mg/k
v = 0.03(9.8)/ 0.500
= 0.294/0.500
= 0.588 m/s
Hence, the terminal speed of the marble is 0.588 m/s.
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.
0.588 m/s
0.588 m/s is the terminal speed of the marble.
Calculation:We know that,
F = mg ----> eq(1)
where,
F = force
m = mass
g = acceleration due to gravity
We also know,
v = F/k ----> eq(2)
where,
v = terminal speed
k = proportionality constant
On substituting the value of F from eq(1) in eq(2)
v = mg/k
Given,
m = 30 g = 0.030 kg
k = 0.500 kg/s
g = 9.8 m/s²
we need to find,
v =?
substitute the values in equation (3)
v = mg/k
v = 0.03(9.8)/ 0.500
= 0.294/0.500
= 0.588 m/s
Hence, the terminal speed of the marble is 0.588 m/s.
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List three examples of real science that you find on the internet or in real life
for example
1. drinking water at least after 1 hour beacuse if we immediately drink water just after meal it dilutes the HCL produced in our stomach which hinders the digestion process
2.picking up tomatoes for salads which contains oxalic acid
3.Cutting apples which contains malic acid with knife then after sometimes it will trun into brown due to oxidation of iron present in a apple.
A few examples of real science that demonstrate how scientific research and exploration contribute to our understanding of the world around us are the Human genome project, Mars exploration, and Climate Change Studies.
Human Genome Project:
The Human Genome Project (HGP) is a real scientific endeavor that aimed to map and sequence all the genes in the human genome. It involved an international collaboration of scientists and researchers to understand the genetic makeup of humans.
Mars Exploration:
Various space agencies, such as NASA and ESA, have conducted real scientific missions to explore Mars. Rovers like Curiosity and Perseverance have been sent to the Martian surface to study its geology, and atmosphere, and search for signs of past life.
Climate Change Studies:
Climate change research is an ongoing scientific field that investigates the causes and effects of global climate change. Scientists collect and analyze data from various sources, including satellite observations, weather stations, and ice core samples, to study trends and changes in Earth's climate over time.
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A particular star's spectrum shows the same hydrogen line at a wavelength of 486.0 nm. what can we conclude?
We can conclude that The star is moving toward us; shift to a shorter wavelength.
The transfer of an electron to a higher energy level, such as n = 1 or n = 2, occurs when a hydrogen atom absorbs a photon. The Balmer series refers to this group of hydrogen emission spectra.
The phrase "blueshift" describes how light waves change as an object approaches toward us in space, shifting wavelengths toward the blue end of the spectrum. Change to a shorter wavelength when the star approaches us. A shorter wavelength indicates a blueshift (shift to the blue end of the spectrum), which indicates that the object is travelling in our direction.
Therefore, We can conclude that The star is moving toward us; shift to a shorter wavelength.
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In a transformer, energy is carried from the primary coil to the secondary coil by:________
In a transformer, energy is carried from the primary coil to the secondary coil by magnetic field in the iron core.
To find the answer, we have to know more about the transformer.
How transformer works?An item utilized in the transfer of electric energy is a transformer. AC current is used for transmission. It is frequently used to modify the supply voltage between circuits without altering the AC frequency.The fundamentals of mutual and electromagnetic induction govern how the transformer operates. Magnetic field through the primary coil changes when primary coil current varies. the iron core of the secondary coil likewise has a magnetic field. EMF is therefore generated in the secondary coil.Thus, we can conclude that, in a transformer, energy is carried from the primary coil to the secondary coil by magnetic field in the iron core.
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Move the chemistry book across the physics book again. study the thermometer to determine whether there’s a change in the physics book’s temperature. what do you find?
Heat is always transferred through the movement of matter in the convection mode of heat transmission.
What is heat transfer ?Heat transfer is the movement of heat from one solid or liquid item to another. Always, heat moves from one body with a greater temperature to one with a lower temperature. To put it another way, heat always transfers from a hotter body to a cooler body.
Heat energy is transferred through the mechanism of conduction when nearby atoms or molecules collide. In solids and liquids, where particles are more closely spaced, conduction happens more easily than in gases, where particles are more widely spaced.Here we can say that heat is transfer when there is movement between two books and hence there is change in temperature.Learn more about Heat transfer here:
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Answer:
The temperature of the physics book increases as the chemistry book slides across it.
Explanation:
pluto
Two objects have the same velocity. These two objects have different masses. Which object will
have greater momentum? Why?
Answer:
The object with the greater mass will have the greater momentum
Explanation:
The momentum of an object with mass m, moving with velocity , is given by the formula
M = mv
Since both objects have the same velocity v, it is clear that the object with the bigger mass will have the greater momentum
When conducting a hypothesis test for a given sample size, if α is increased from 0.05 to 0.10, then __________.
When conducting a hypothesis test for a given sample size, if α is increased from 0.05 to 0.10, then the probability of incorrectly rejecting the null hypothesis increases ,the probability of incorrectly failing to reject the null hypothesis decrease, the probability of Type II error decreases.
A. the probability of incorrectly rejecting the null hypothesis increases
B. the probability of incorrectly failing to reject the null hypothesis decreases
C. the probability of Type II error decreases
Higher values of α make it easier to reject the null hypothesis, so choosing higher values for α can reduce the probability of a Type II error. The consequence here is that if the null hypothesis is true, increasing α makes it more likely that we commit a Type I error.
A type 1 error is also known as a false positive and occurs when a researcher incorrectly rejects a true null hypothesis. This means that your report that your findings are significant when in fact they have occurred by chance.
hence , all the options are correct
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A charge of 12 c passes through an electroplating apparatus in 2. 0 min. what is the average current?
A charge of 12 c passes through an electroplating apparatus in 2.0 min, then the average current is 0.1 ampere.
What is an electric charge?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge.
Electric current is defined as the charge per unit of time.
The mathematical relation between current and the electric charge
I =Q/T
where I is the current flowing
Q is the total electric charge
T is the time period for which the current is flowing
As given in the problem A charge of 12 c passes through an electroplating apparatus in 2.0 min
Let us first convert the time period of minutes into seconds
1 min = 60 seconds
2 min = 2*60 seconds
=120 seconds
By using the above relation between electric current and electric charge
and by substituting the respective values of the charge and the time period
I =Q/T
I = 12c/120 seconds
I = 0.1 Ampere
Thus, the average current flowing through the apparatus would be 0.1 Ampere.
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In a similar rolling race (no slipping), the two objects are 2 solid cylinders of the same mass but different radii. which reaches the bottom first?
The solid cylinder reaches the bottom first.
A (solid) cylinder is a solid that has two parallel planes and a cylindrical surface surrounding it. An element of the cylinder is a line segment that is determined by an element of the cylindrical surface between two parallel planes. A cylinder's components are all the same length. The material's velocity would be higher if the moment of inertia was lower and the radius of gyration k was smaller. In comparison to a hollow cylinder with k as 1, a solid cylinder with k as 1/2 will move at a faster speed. Their energies at both levels, including potential energy and energy lost through friction, would stay the same because they had the same mass and radius.
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A solid cylinder and a hollow cylinder of the same mass and radius, both initially at rest, roll down the same inclined plane without slipping. Choose the correct options.
The solid cylinder reaches the bottom first.
A solid object will always roll down the ramp faster than a hollow object of the same shape regardless of their exact mass or diameter.
The solid cylinder has a lower moment of inertia than the hollow one does. Although they have the same mass, all the hollow cylinder's mass is concentrated around its outer edge so its moment of inertia is higher.
The velocity would be greater for the material with radius of gyration k is lower of for which the moment of inertia is lower. Solid cylinder with k as 1/2 will have greater velocity as compared to hollow cylinder which has k as 1. As they have same mass and radius their energies at both the levels would remains same including the potential energy and energy lost due to friction.
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For most people in most environments, the reaction range for iq is about 25 points. this means that:_______
For most people in most environments, the reaction range for IQ is about 25 points, this means that: the environment is the primary determinant of mental health.
Reaction range :
Reaction range refers to limits set on IQ by heredity. Environment determines where IQ will lie within these limits. There is a discrepancy in IQ scores between whites and some minority groups. There are both hereditary and environmental explanations for this discrepancy.
What is the range of reaction principle?
Range of reaction asserts that our genes set the boundaries within which we can operate, and our environment interacts with the genes to determine where in that range we will fall.
Personality or intelligence quotient (IQ) :
Is shaped by genes as well as by an individual's upbringing and surrounding environment. However, in recent time many scientists and researchers have succeeded to identify certain personality characteristics or attributes to some specific genes.
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A body accelerate uniformly from rest at 2m/s^2.calculate its velocity after traveling 9m.
Answer:
The final velocity of the body is 6 m/s.
Explanation:
To solve this question, we can use one of the kinematic equations. Let's go over what variables we know and what we are trying to find. We know the acceleration (a = 2m/s²), the displacement (Δx = 9m), and the initial velocity (v1 = 0 m/s). We are trying to find the final velocity, v2.
The equation that uses all of these variables is the following:
v2² = v1² + 2*a*Δx
If we plug in the given values and simplify, we get:
v2² = 2*(2)*(9)
v2² = 36
Finally, we can take the square root of both sides to get:
v2 = 6 m/s
Therefore, the answer is 6 m/s.
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Picking up sound waves is the stage of listening that most people refer to as what?
A. hearing
B. perceiving
C. understanding
D. evaluating
A. Picking up sound waves is the stage of listening that most people refer to as hearing.
What is hearing?
Hearing, or auditory perception, is the ability to perceive sounds through an organ, such as an ear, by detecting vibrations as periodic changes in the pressure of a surrounding medium.
During learning process, when someone picks up the sound waves directed to him/her, it is known as the act of hearing,
Thus, picking up sound waves is the stage of listening that most people refer to as hearing.
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A circular loop of wire of radius 10 cm carries a current of 6. 0 a. what is the magnitude of the magnetic field at the center of the loop? (μ0 = 4π × 10-7 t ∙ m/a)
The magnitude of the magnetic field at the center of the loop is [tex]3.77*10^{-5} T[/tex]
Given,
μ0 = 4π × [tex]10^{-7}[/tex] t ∙ m/a, I=6 A, R = 10cm =0.1m
magnetic field(B)=μ0*I/2R=[tex]\frac{4*3.14*10x^{-7}*6 }{2*0.1}[/tex]=[tex]3.77*10^{-5} T[/tex]
Magnetic fieldWhen it comes to the magnetic influence on moving electric charges, electric currents, and magnetic materials, we use the vector field of a magnetic field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is travelling in a magnetic field. Iron and other ferromagnetic elements are drawn to a permanent magnet's magnetic field, which also draws or repels other magnets. Furthermore, a magnetic field with varying localization will impose a force on a variety of non-magnetic materials by altering the velocity of their outer atomic electrons. Magnetic fields surround magnetised materials and are produced by electric currents, like those found in electromagnets, and by electric fields with changing time constants.
A circular loop of wire of radius 10 cm carries a current of 6. 0 a. what is the magnitude of the magnetic field at the center of the loop? (μ0 = 4π × 10-7 t ∙ m/a)
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The lift on a spinning circular cylinder in a freestream with a velocity of 50m/s and at standard sea level conditions is 10n/m of span. calculate the circulation around the cylinder
The circulation around the cylinder is 0.163Js/kg.
To find the answer, we have to know more about the stream flow.
How to find the circulation around the cylinder?We have,[tex]v=50m/s\\L=10N/m\\d=1.23kg/m^3[/tex] , where d is the density at the sea level.
We have the expression for lift per unit circulation as,[tex]L=dvc\\[/tex]
Thus, the circulation around the cylinder is,[tex]c=\frac{L}{dv} =\frac{10}{1.23*50}=0.163Js/kg[/tex]
Thus, we can conclude that, the circulation around the cylinder is 0.163Js/kg.
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Waves start as a disturbance (an input of energy) in a medium (water, air, the earth etc). The energy of the disturbance is moved from the starting point to other places in the medium by what means?
A
It depends on whether the wave is longitudinal or transverse. Transverse waves move energy differently than longitudinal waves.
B
The means of energy movement in a wave depends on the magnitude (force) of the original wave. Strong waves propagate by a different method than weak ones.
C
Molecules in the original disturbance disturb (move) adjacent molecules which disturb more adjacent molecules and so the wave travels.
D
It depends on the wavelength of the wave, short wavelength waves travel faster and move energy differently than long wavelength waves.
C. Molecules in the original disturbance disturb (move) adjacent molecules which disturb more adjacent molecules and so the wave travels.
What is wave?A wave can be defined as a propagating dynamic disturbance of one or more quantities.
A wave can be propagated in longitudinal or transverse method.
When waves start as a disturbance (an input of energy) in a medium (water, air, the earth etc).
The energy of the disturbance is moved from the starting point to other places in the medium by molecules in the original disturbance disturb (move) adjacent molecules which disturb more adjacent molecules and so the wave travels.
Thus, the correct option is C.
"Molecules in the original disturbance disturb (move) adjacent molecules which disturb more adjacent molecules and so the wave travels".
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A charged point particle is placed at the center of a spherical gaussian surface. the electric flux is changed if:
The electric flux is changed only if we change the charge.
What is the expression of electric flux?As per gauss law, total electric flux link through a surface is equal to (1/ε0) × charge.Mathematically, electric flux = q/ε0q = total charge enclosed by the gaussian surfaceHere the electric flux is directly proportional to the charge, so on changing charge, the electric flux changes.Thus, we can conclude that the electric flux is changed only if we change the charge.
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What is the horsepower of a 1,500 kg car that can go to the top of a 360 m high hill in exactly 1 min?
Answer:
W = m g h work that must be done on car
P = W / t power that must be input (in Watts)
P = m g h / t = 1500 kg * 9.8 m/s^2 * 360 m / 60 sec
P = 88,200 watts
P = 88,200 watts / 746 watts / hp = 118 hp
The horsepower of a 1,500 kg car that can go to the top of a 360 m high hill in exactly 1 min is 118.23 hp.
To find the power, the given values are,
Mass m = 1500 kg
Height h = 360 m
Time t = 1 minute = 60 seconds
g = 9.8 m/s
What is Power?Power is the amount of work that is done per unit of time. It can be associated with the speed of a change of energy within a system, or the time it takes to perform a job.
There are different types of power,
Mechanical power: is that work performed by an individual or a machine in a certain period of time.Electric power: which is the result of the multiplication of the potential difference between the ends of a load and the current flowing there.Formula for Power is,
Power = mgh/t
Power = (1500 x 9.8 x 360)/60
Power = 8.8 x 10⁴ watts
Recall
746watts = 1hp
8 x 10⁴ watts = 8 x 10⁴ / 746
Power = 118.23 hp
Thus, Power was calculated as 118.23 hp.
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Consider the vector field. f(x, y, z) = xy2z2i x2yz2j x2y2zk (a) find the curl of the vector field?
Observe that the given vector field is a gradient field:
Let [tex]f(x,y,z)=\nabla g(x,y,z)[/tex], so that
[tex]\dfrac{\partial g}{\partial x} = x y^2 z^2[/tex]
[tex]\dfrac{\partial g}{\partial y} = x^2 y z^2[/tex]
[tex]\dfrac{\partial g}{\partial z} = x^2 y^2 z[/tex]
Integrating the first equation with respect to [tex]x[/tex], we get
[tex]g(x,y,z) = \dfrac12 x^2 y^2 z^2 + h(y,z)[/tex]
Differentiating this with respect to [tex]y[/tex] gives
[tex]\dfrac{\partial g}{\partial y} = x^2 y z^2 + \dfrac{\partial h}{\partial y} = x^2 y z^2 \\\\ \implies \dfrac{\partial h}{\partial y} = 0 \implies h(y,z) = i(z)[/tex]
Now differentiating [tex]g[/tex] with respect to [tex]z[/tex] gives
[tex]\dfrac{\partial g}{\partial z} = x^2 y^2 z + \dfrac{di}{dz} = x^2 y^2 z \\\\ \implies \dfrac{di}{dz} = 0 \implies i(z) = C[/tex]
Putting everything together, we find a scalar potential function whose gradient is [tex]f[/tex],
[tex]f(x,y,z) = \nabla \left(\dfrac12 x^2 y^2 z^2 + C\right)[/tex]
It follows that the curl of [tex]f[/tex] is 0 (i.e. the zero vector).
A glass fiber carries a light digital signal long distances with a minimum loss of amplitude. What optical property of glass allows this phenomenon?
Reflection is the optical property of glass that allows this phenomenon.
Reflection of light:Light can be carried along a distance within a transparent material by means of total internal reflection, with a minimum loss of amplitude.
(incident angle>critical angle light is reflected/bounces off)
When waves of light (and other electromagnetic radiation) come into contact with a surface or other boundary that does not absorb the radiation's energy, the waves bounce off the surface and back into space. The angle of incidence and angle of reflection are equal when light rays strike a flat surface, and the incident ray, the reflected ray, and the surface normal all lie in the same plane. There are three categories of reflection: glossy, specular, and diffuse.
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What is the angle between two just-resolvable points of light for a 2. 75 mm diameter pupil in radians, assuming an average wavelength of 550 nm?
The angle between two just-resolvable points of light for a 2. 75 mm diameter pupil in radians, assuming an average wavelength of 550 nm will be 2.44 * [tex]10^{-4}[/tex] radian
The limit of resolution (or resolving power) is a measure of the ability of the objective lens to separate in the image adjacent details that are present in the object. It is the distance between two points in the object that are just resolved in the image.
Resolving power is the capacity of an instrument to resolve two points which are close together.
theta = 1.22 * ( lambda / diameter )
= 1.22 * ( 550 * [tex]10^{-9}[/tex] / 2.75 * [tex]10^{-3}[/tex] )
= 244 * [tex]10^{-6}[/tex]
= 2.44 * [tex]10^{-4}[/tex] radian
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A fisherman's scale stretches 3. 2 cm when a 2. 6 kg fish hangs from it. part a what is the spring stiffness constant?
The spring stiffness constant is 796.25 N/m.
A spring's "spring constant" is a property that quantifies the relationship between the force acting on the spring and the displacement it produces.
The slope of the plot of the straight line W vs x represents the spring constant, K. Weight (W) is defined as mass times the gravitational acceleration (g), where g is equal to approximately 980 cm/sec².
Mass of the fish = 2.6 kg
Length of the fisherman's scale, x = 3.2 cm
= 3.2/100 m
= 0.032 m
We have to find the value of k;
We know that,
F = - kx
Where k is the spring constant,
F is the force applied over x
x is the displacement by the spring expressed in N/m.
mg = - kx
g = 9.8 m/s²
[tex]K = \frac{mg}{x}[/tex]
[tex]= \frac{2.6*9.8}{0.032}[/tex]
[tex]= 796.25 N/m[/tex]
Therefore, the spring's constant is 796.25 N/m.
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Assuming the diode is ideal but with a forward voltage drop of. 65 volts, what is the current in ma if v1=0v, and r1=490ω?
The current in the ideal diode with forward biased voltage drop of 65V is 132.6 mA.
To find the answer, we have to know more about the ideal diode.
What is an ideal diode?A type of electronic component known as an ideal diode has two terminals, only permits the flow of current in one direction, and has less zero resistance in one direction and infinite resistance in another. A semiconductor diode is the kind of diode that is used the most commonly. It is a PN junction-containing crystalline semiconductor component that is wired to two electrical terminals.How to find the current in ideal diode?Here we have given with the values,[tex]V_2=65V\\V_1=0V\\R_1=490Ohm.[/tex]
We have the expression for current in mA of the ideal diode with forward biased voltage drop as,[tex]I=\frac{V_2-V_1}{R_1} =\frac{65}{490} =132.6mA[/tex]
Thus, we can conclude that, the current in mA of the ideal diode with forward biased voltage drop of 65 V is 132.6.
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A car drives around a curve with a radius of 42 m at a velocity of 24 m/s. what is the centripetal acceleration of the car? m/s2
Answer:
13.7 m/s^2
Explanation:
Radius, r= 42m
Velocity, v= 24m/s
Ac= V^2/r
Ac=(24)^2/42
Ac= 13.7m/s2
The centripetal acceleration is 13.7 m/s².
Calculation:Centripetal acceleration is given by,
Ac = v²/r
where,
Ac = centripetal acceleration
v = velocity
r = radius
Given,
v = 24 m/s
r = 42 m
To find,
Ac =?
Put the value in the formula,
Ac = v²/r
= (24)²/42
= 576/42
= 13.7 m/s²
Hence, the centripetal acceleration is 13.7 m/s².
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A simple, direct-current electrical circuit is shown below.
Which of the following does the arrow in the circuit represent?
A
the difference in electric potential
B
the resistance to current flow
C
the direction of current flow
D
the direction of electron flow
The direction of current flow is given by an arrow in the electrical circuit.
Several categories are used to categorise electrical circuits. One-way current only flows through a direct-current circuit. As with most residential circuits, an alternating-current circuit is a channel for transmitting electrical current that pulses back and forth numerous times each second.
A battery or generator, a device that provides energy to the charged particles that make up the current, a device that uses current, such as a lamp, an electric motor, or a computer, and the connecting wires or transmission lines make up an electrical circuit.
A source of electrical power, two wires that can transmit current, and a light bulb make up an electrical circuit. Both wires have one end connected to a cell terminal and the other end connected to a light bulb. When the light bulb is turned off, the electrical circuit is disrupted.
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Energy in inductors: you need an inductor that will store 20 j of energy when a 3. 0-a current flows through it. what should be its self-inductance?
The self inductance can be calculated as 4.444 Henry.
The inductor will store energy = 20 joule,
current = 3 ampere.
What is Self inductance?The current carrying conductor which allows or opposes the change of flow of current is known as self-inductance. The rate of change of current can also be given through self inductance.
Formula can be given for the energy in the inductor as,
E = 1 / 2 × L × I² joule.
where as, E - Energy
L - Inductance
I - Current flowing through the coil.
The equation can be rearranged as,
L = 2 E/ I²
= 2 × 20 / 3²
= 40 / 9
Hence, L = 4.4444 Henry
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A proton travels with a speed of 8. 34×10^5 m/s at an angle of 32. 3° with the direction of a magnetic field. the field exerts a force of 3. 00×10^−17 n on the proton. What is the strength of the field?
Magnetic field strength of the field is 4.2 × [tex]10^{-4}[/tex] T
What is Magnetic Field ?The region of space where magnetic force is experienced is known as magnetic field.
The force on a particle of charge q moving at speed v at an angle Ф to a uniform magnetic field of flux density B is given as
F = BqvsinФ
Given that a proton travels with a speed of 8. 34×10^5 m/s at an angle of 32. 3° with the direction of a magnetic field. the field exerts a force of 3. 00×10^−17 N on the proton. What is the strength of the field?
The parameters are;
Force F = 3.0 × 10^−17 NSpeed V = 8.34 × 10^5 m/s Angle Ф = 32. 3°Magnetic field strength B = ? Proton charge = 1.6 x [tex]10^{-19}[/tex] CSubstitute all the parameters into the formula
F = BqvsinФ
3.0 × [tex]10^{-17}[/tex] = ( 1.6 x [tex]10^{-19}[/tex] x 8.34 x [tex]10^{5}[/tex] x sin 32.3 ) B
3.0 × [tex]10^{-17}[/tex] = 7.13 × [tex]10^{-14}[/tex] B
Make B the subject of formula
B = 3.0 × [tex]10^{-17}[/tex] / 7.13 × [tex]10^{-14}[/tex]
B = 4.2 × [tex]10^{-4}[/tex] T
Therefore, Magnetic field strength of the field is 4.2 × [tex]10^{-4}[/tex] T
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450n 360n 710n 1400n 230n a block is placed in oscillation on a frictionless horizontal surface attached to a spring that is also attached to a wall. If, when stretched away from equilibrium by 15cm and released, it oscillates with a period of 0. 25s, and if the mass of the block is 15kg, what force was required to stretch the spring by the initial 15cm?.
The force stood needed to stretch the spring by the initial 15cm exists 1420 N.
What is oscillation?The motion between two positions back and forth, or swinging back and forth like a pendulum exists comprehended as oscillation.
What is equilibrium?A condition where competing forces or activities exist in balance exists named equilibrium.
What is the stretching force?Tensional force exists as the force exerted by a stretched item.
It could be a rope, string, elastic band, or wire that exists being extended.
The object's tensional force exists used to the object stretching it.
The stretched object exists subject to tensile force.
Force stood needed to stretch the spring by the initial 15cm exists 1420 N.
Let, m = 15, P = 0.25, x = 0.15
F = -K x for spring
where, F is the force
K be the constant
ω [tex]= (K/m)^{1/2[/tex]
where, ω be the angular frequency
m b the mass of the block
[tex]$\omega^2 = K / m[/tex]
[tex]K = m \omega^2[/tex] [tex]= m (2 \pi f)^2[/tex] [tex]= m 4 \pi ^2 / P^2[/tex]
K = 4[tex]\pi ^2[/tex] m / [tex]P^2[/tex]
[tex]F = K x = x * 4 \pi ^2 m / P^2[/tex]
[tex]F = 0.15 * 4 * \pi ^2 * 15 / 0.25^2[/tex]
F = 1420 N
The force stood needed to stretch the spring by the initial 15cm exists 1420 N.
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1. Consider the potential energy diagram shown below. This graph shows the chemical potential energy in a reaction system over time. The y-axis is potential energy in kilojoules. The x-axis is the reaction progress or time.
Does this graph represent an endothermic or an exothermic reaction? Explain your answer.
What is the enthalpy change, ΔH, for this reaction? Show your work.
What is the activation energy, Ea, for this reaction? Show your work.
THE GRAPH IS BELOW
150 kJ of energy was given out over the course of the reaction and 200kJ is required for the reactants to be converted into products.
What is the potential energy graph?We know that the combination of the reactants is what leads to the formation of products. The interaction of the reactants and the products is what is shown on the potential energy curve. The hump at the highest point of the graph is the activation energy while the difference between the energy of the reactant and the products is the enthalpy of the reaction.
Now; the enthalpy change is given as;
ΔH = 200 kJ - 50 kJ = 150 kJ
Ea = 250 kJ - 50 kJ = 200kJ
We can see that 150 kJ of energy was given out over the course of the reaction and 200kJ is required for the reactants to be converted into products.
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