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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a 5kg cat is lifted 2 meters into the air. how much gpe does it gain?
Answer:
100
Explanation:
PE=mgh=5×10×2=100JWhat would be the weight of an astronaut of the gravitational attraction has been reduced by 1/10 of earth's gravitational attraction?
Answer: 20
Explanation: Because if you divide the astronauts weight by 10.
You throw a ball straight up with a velocity of 25 m/s. How high will it reach before it begins falling back down? How long will it take to come back down and hit you on the head? How fast will it be going?
Answer:
1. It will reach a height of 31.877m
2. 5.102 seconds
3. -11.456 m/s
Explanation:
What is the normal force on an object weighing 437N at rest on an inclined plane with an angle of 29 degrees?
Answer:408
Explanation:
Answer:
382.2 N
Explanation:
You want the normal force on an object weighing 437 N situated on an inclined plane 29° from the horizontal.
Force vectorThe vector 437 N straight down can be decomposed to vectors parallel to the plane and perpendicular to the plane. That decomposition looks like ...
(perpendicular, parallel) = 437 N · (cos(29°), sin(29°)) ≈ (382.2, 211.9) N
The normal force on the object is about 382.2 N.
which method of thermal energy transfer would be fastest through a vacuum, which would be fastest through a gas, and which would be fastest through a solid?
The method of radiation is faster through a vacuum, the method of convection is faster through a gas and the method of conduction is faster through a solid.
There are three modes of heat transfer:
conduction
convection, and
radiation
Radiation:
The emission of energy as electromagnetic waves or as moving subatomic particles, especially high-energy particles causes ionization. As we know vacuum does not require any medium so radiation is the heat transfer which is faster in a vacuum.
Therefore we get that in vacuum radiation, solid conduction, and gas convection heat transfer is faster.
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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?.
Electrical energy is converted into the kinetic energy of the spinning fan and the thermal energy of the heated coils within a hair dryer when the appliance is turned on.
What is electric energy?Electrical energy is the capacity of the charged particles in an atom to start an action or move an object. The movement of electrons between atoms results in the production of electrical energy.
Every time you plug your toaster and phone charger into a wall socket, electrical energy is used to power them. Electric eels, batteries, and lightning are additional sources of this kind of power. However, electrical energy can also be converted into other types of energy, such as the thermal energy that warms your toaster and toasts your bread, or the mechanical energy that drives the acceleration of an electric car.
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a motorcycle accelerates uniformly from rest and reaches a linear speed of 25.3 m/s in a time of 11.4 s. the radius of each tire is 0.259 m. what is the magnitude of the angular acceleration of each tire?
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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(a) what is the resistance of a lightbulb that uses an average power of 40.0 w when connected to a 60.0-hz power source having a maximum voltage of 170 v?
The resistance of the light bulb has the power of 40 W is 722.5 ohms
The power of the light bulb = 40 W
The maximum voltage of the lightbulb = 170 V
Therefore, the resistance of the light bulb can be found using the formula,
P = V² / R
where P is the power of the lightbulb
V is the voltage of the lightbulb
R is the resistance of the lightbulb.
Let us re-write the above equation in order to get the value of the resistance,
R = V² / P
Let us substitute the known values in the above equation, we get
R = (170)² / 40
= 28,900 / 40
= 722. 5 ohm
Therefore, the resistance of the light bulb is 722.5 ohms.
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my solar system has two types of planets: terrestrials and jovians. the solar nebula hypothesis offers what explanation for the different compositions of these two types of planets?
According to the nebular hypothesis, small terrestrial planets are formed through the process of accretion, in which dense solid particles condensed and collided with one another as a result of their mutual gravitational pull.
As opposed to this, all heavier elements condensed near the sun and formed terrestrial planets, while lighter elements moved away from the sun and formed jovian planets due to the high temperature near the sun, which only allowed heavier particles to condense there.
The solar nebular hypothesis is the explanation put forth and accepted by most scientists as to how the earth came to be. It claims that a nebular, or huge clump of dust, is where the solar system originated. The heavier materials that could resist higher temperatures formed closer to the sun as the condensation of the nebular continued. Because these minerals weren't abundant, the planets they generated weren't very big.
The Jovian planets, on the other hand, formed above the frost line and could support icy compounds. These planets' larger sizes can be attributed to the abundance of ices that formed them. The lighter hydrogen and helium elements were stripped away by solar winds, which caused their accumulation far from the sun.
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a longitudinal wave is observed. Exactly 6 crests are observed to move past a given point in 9.1 s. Its wavelength is 2.4 m and its frequency is 0.66 HZ. What is the speed of the wave.
The speed of the longitudinal wave is 1.584 or approximately 1.6 meters per second.
What is a longitudinal wave?Longitudinal waves are waves in which the medium's vibration is parallel to the wave's travel direction and the medium's displacement is in the same direction as the wave's propagation.
Sound waves are one example of longitudinal waves. Waves of ultrasound P-waves from earthquakes
A longitudinal wave's key features include compression, rarefaction, wavelength, amplitude, period, and frequency.
To calculate the above answer multiply wavelength by frequency to get the speed of a wave.
That is:
2.4 x 0.66
= 1.584
Where the frequency is not given beforehand, you can divide 6 crests by 9.1 seconds to determine the frequency.
Hence, the speed of the longitudinal wave is 1.584 which is approximately 1.6.
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a proton moves at constant velocity in the y direction, through a region in which there is an electric field and a magnetic field. the electric field is in the x direction, and has magnitude 400 v/m. the magnetic field is in the -z direction, and has magnitude 0.65 t.what is the magnitude of the net force on the proton?
The magnitude of the net force on the proton is 0.
What happens when the net force is zero?An object with zero net force will either remain stationary if initially stationary or maintain a constant velocity.
Fₙ = F₁ - F₂
Fₙ = Net force
F₁ and F₂ are applied forces
Now, F = ma
0 = ma
a = 0
Since acceleration is zero this implies that the object is moving with a constant velocity.
For the given case,
The proton is moving with a constant velocity along the y direction, which means the acceleration is zero. So, the net force is:
Fₙ = ma
Fₙ = m × 0
Fₙ = 0
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if an alpha particle (2 protons) experiences an electric force of 0.250 n at a point in space, what electric force would a proton experience at the same point?
electric force would a proton experience at the same point is .156 × 10⁻¹⁹ N/C.
Electric field :
The electric field is the amount of electric force per charge, and the electric force on a charge at a given point in space is the amount of charge multiplied by the electric field at that location.
E = F/q
where,
E = electric field
F = force
q = charge
A force experienced by an alpha particle = 0.250N
E = F/q
E = 0.250 /1.6 × 10⁻¹⁹
E = 0.156 × 10⁻¹⁹ N/C
electric force would a proton experience at the same point is .156 × 10⁻¹⁹ N/C.
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two balls of mass 4kg and 2kg are moving with speed 10 m/s and 8m/s respectively with the ball of heavier mass behind the lighter ball
Answer:
Explanation:
And what to find in the problem?
at what point along its length must the wire be cut so that the resistance of one piece is 4.0 times the resistance of the other?
The wire must be cut at a length of l/5 along its length so that the resistance of one piece is four times the resistance of other.
The relation between the resistance the resistivity the area and the length of the wire is given by,
R = pl/A
p is resistivity,
A is the area,
l is the length of the wire.
Let us say that the peace of length X is cut from the wire,
So, length of one piece is x and of the other is (l-x)
The resistance of the bigger price has to be four times of the other.
So, we can write,
px/A = 4p(l-x)/A
x = 4l-4x
5x = l
x = l/5.
So, the wire should be cut at a point l/5 from one of the ends of the wire.
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What is the direction of acceleration at all points in the projectile's path?
5) what is the average momentum of an avalanche that moves a 40-cm-thick layer of snow over an area of 100 m by 500 m over a distance of 1 km down a hill in 5.5 s? assume a density of 350 kg/m3 for the snow.
The average momentum of the avalanche was found to be 1.3×10^ 9 kg·m/s
what is momentum?
Momentum is the pace at which a security's price accelerates—that is, the rate at which the price changes. Momentum trading is a method that uses momentum to enter a trend while it is gaining traction.
Simply expressed, momentum is the tendency of a price trend to continue growing or dropping for a set period of time, taking into consideration both price and volume data. Momentum is commonly quantified using an oscillator in technical analysis and used to help detect trends.
Momentum is the quantity of motion of an item. If you know the object's velocity and mass, you can calculate its momentum. It will be simple once you understand the formula.
The average momentum of the above problem was 1.3 x 10^9Kg.m/s
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a block of mass m is attached to a spring and placed on an inclined plane. the spring has a spring constant k, and there is negligible friction between the block and inclined plane.the block is released from rest at the position shown in the figure above with the spring initially unstretched. what distance d does the block slide down the plane before coming momentarily to rest?
The distance travelled by the block of mass m will be l₀ + x or d which can be calculated through implementing the Conservation of energy from Work energy theorem
For l₀ + x, (from figure)
sinᶿ = h / (l₀+x) ----- equation 1
We know from conservation of energy,
Ka + Ua = Kc + Uc
Here
Ka = kinetic energy at point A
Ua = potential energy at point A
Kc = kinetic energy at point C
Uc = potential energy at point C
Since the block is at rest Ka = 0 & block comes to rest after moving Kc = 0 as well
Therefore Ua = Uc
Ua = m.g.h
Uc = ½ kx²
m.g.h = ½ kx²
h = kx²/2mg ---- equation 2
Substitute the obtained value of h i.e. equation 2 in equation 1 for calculation of distance travelled by the block on an inclined plane.
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Answer:
d = (2mg sinθ) / k
Explanation:
We can use the conservation of energy.
At the point when the block comes to rest, all of its initial potential energy mgh is converted into the potential energy stored in the spring (1/2)kx², where x is the amount by which the spring is compressed.
Using trigonometry, we can see that the height h of the incline is equal to
d sinθ
where d is the distance traveled by the block down the incline.
We know this because d represents an incline and to find the y value of an incline we use sinθ
Therefore, we can write:
mgh = (1/2)kx²
Substituting h = d sinθ and solving for d, we get:
mgd sinθ = (1/2)kd²
d = (2mgsinθ)/k
Therefore, the correct answer for the distance that the block slides down the incline before coming momentarily to rest is (2mg sinθ)/k.
I hope this helped! :)
What is the name of the object to which the electric current flows from the battery toward (and then back to)?
Answer: Electrical Conductors
Explanation: Electrical conductors allow electric current to flow easily because of the make up of their atoms. In a conductor, the outer electrons of the atom are loosely bound and can freely move through the material when an electric charge is applied. In general, the best electrical conductors are metals.
pulleys and inclined planes quick check1 of 41 of 4 itemsquestionuse the picture to answer the question.an illustration shows a man lifting a box using a pulley.what is accomplished by this simple pulley?
Pulleys are strong, efficient devices. They have the power to shift a force's direction, which makes it much simpler for us to move objects.
what is pulley?For the transmission of energy and motion, pulleys can be used alone or in conjunction. Sheaves are the name for rimmed pulleys with grooves. In a belt drive, pulleys are attached to shafts at their axes, and power is transferred between the shafts using endless belts that pass over the pulleys.
The four different types of pulleys are complex, compound, moveable, and fixed. A fixed and movable pulley make up compound pulleys.
The main benefit of using pulleys is that it requires less effort than simply lifting weights normally. To put it another way, it lessens the actual force needed to lift heavy objects. Additionally, the force's direction is altered.
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a man pulling an empty wagon causes it to accelerate at 1.4 m/s2 what will the acceleration be if he pulls with the same force when the wagon contains a child whose mass is three times that of the wagon? express your answer using two significant figures.
The acceleration will be 0.35 m/s^2 if he pulls with the same force when the wagon contains a child weighing 3 times of wagon.
What is acceleration and how the acceleration is calculated out to be so?Acceleration is a quantity which represents the force applied per unit mass of a substance .Here a man is pulling an empty wagon to accelerate at 1.4 m/s^2 and the question is asked the acceleration if pulled with same force.But the wagon contains a child whose mass is three times of the wagon .Considering 'M' the mass of wagon , 3M would be the mass of child and total mass = 4M.The pulling force on wagon would be 4Ma, since the force are equal , equating 1.4 M =4Ma , this implies a = 0.35m/s^2.So the acceleration with which the wagon is pulled is 0.35m/s^2 knowing the mass of child is three times the mass of wagon.To know more about acceleration visit:
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a large 1.9 m wide and 0.5 m high plate is carried above a truck perpendicular to the vehicle motion (like a flat plate normal to the free stream). calculate the additional power required to carry the plate at a speed of 72 km/hr. use air density as 1.22 and estimate the drag coefficient from tables in the book.
The additional power required to carry the plate at speed of 72 km/hr is 4867.8 m/s.
Given data,
[tex]l[/tex] (wide of plate) = 1.9m
[tex]h[/tex] (high of plate) = 0.5m
ρ (air density) = 1.22
[tex]V[/tex] (speed) = 72km/hr
assume [tex]C_{D}[/tex] (Drag coefficient) = 1.05
To determine the additional power can be calculated as follows:
First, we have to determine the area of plate
Area of plate = [tex]l[/tex]×[tex]h[/tex]
= 1.9×0.5
Then, we have to convert the unit of speed from km/hr to m/s
72km/hr = [tex]\frac{72000}{3600}[/tex]
= 20 m/s
Next, we can determine the power by using the formula
=[tex]\frac{1}{2}[/tex]×[tex]C_{D}[/tex]×ρ×[tex]V^{2}[/tex]×[tex]A[/tex]×[tex]V[/tex]
=[tex]\frac{1}{2}[/tex]×[tex]1.05[/tex]×[tex]1.22[/tex]×[tex]20^{2}[/tex]×[tex]0.95[/tex]×[tex]20[/tex]
=4867.8 watt
Thus, The additional power required to carry the plate at speed of 72 km/hr is 4867.8 m/s.
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two objects attract each other with a gravitational force of magnitude 1.01 10-8 n when separated by 20.1 cm. if the total mass of the two objects is 5.03 kg, what is the mass of each?
Mass of to object is 3 kg and 2 kg.
What is Gravitational force?
In mechanics, gravity, often known as gravitation, is the universal force of attraction that acts between all matter. It is by far the weakest known natural force and so has no effect on the internal properties of ordinary stuff. Due to its long reach and ubiquitous action, it influences the trajectories of bodies in the solar system and elsewhere in the universe, as well as the architecture and evolution of stars, galaxies, and the entire cosmos. The weight, or downward force of gravity, exerted by the Earth's mass on all bodies on Earth is proportional to their mass. The acceleration that freely falling objects experience is used to calculate gravity.
F =G(m1m2/r2)
m1m2 = [(1.00 X 10-8N)(20*10-2m)2]
/[6.67*10-11Nm2/kg2]
Now
m1-m2 =[(m1+m2)2-4m1m2] =[(5kg)2-4(6kg2)] =(1kg2) = 1kg 2m1 =
(m1+m2)+(m1-m2) = 5kg + 1kg =6kg
m1 = 3kg, m2 = 5kg,
and
m2 = 5kg - 3kg = 2kg
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a current of 1.80 a flows in a wire. how many electrons are flowing past any point in the wire per second?
Any point in the wire has 1.12 x [tex]10^{19}[/tex]. electrons flow per second.
What causes a current in a wire?Electric current in a wire, where electrons serve as the charge carriers, is a measurement of the amount of charge that moves through any point of the wire in a given amount of time.A free electron is drawn to a proton to become neutral if an electron is added to the wire.Lack of electrons can result from pushing electrons out of their orbits.Electric current is the name given to the constantly moving electrons in wire.The current is the quantity of charge Q flowing through a certain point of the wire in a time interval of [tex]\Delta t[/tex].
I = [tex]\frac{Q}{\Delta t}[/tex].
by using this relationship
I=1.80 A, we can find the charge passing any point in the wire in 1 second:
Electric Charge, Q = 1.80 C.
To find how many electrons corresponds to this charge, we should divide this value by the charge of a single electron
charge of the electron = 1.6 x [tex]10^{-19}[/tex] C.
No. of Electrons = Q/q = [tex]\frac{1.80}{1.6* 10^{-19}}[/tex]= 1.12 x [tex]10^{19}[/tex].
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Suppose a spacecraft is orbiting 3.91* 10^5 meters above the surface of Mars. Calculate the magnitude of Mars' gravitational field and the approximate acceleration due to gravity experienced by the spacecraft (the mass of Mars is 6.39* 10^23 kg and its radius is 3.40* 10^6 m). [gravity, gravitational fields, gravitational acceleration]
The magnitude of Mars' gravitational field is 3.66 N/kg.
The approximate acceleration due to gravity experienced by the spacecraft is 3.66 m/s².
What is the gravitational fields?
The gravitational fields of the Mars is calculated by applying the following equation;
E = F/m = GM/r²
where;
G is universal gravitation constantM is the mass of Marsr is the radius of Mars F is gravitational forceE = (6.626 x 10⁻¹¹ x 6.39 x 10²³) / (3.4 x 10⁶)²
E = 3.66 N/kg
The approximate acceleration due to gravity experienced by the spacecraft is calculated as follows;
F = mg = GmM/r²
g = GM/r²
where;
G is universal gravitation constantM is the mass of Marsr is the radius of Mars F is gravitational forceg is acceleration due to gravityg = (6.626 x 10⁻¹¹ x 6.39 x 10²³) / (3.4 x 10⁶)²
g = 3.66 m/s²
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Adhere to the images given:
The reason for the first graph is because of the effects of deceleration and acceleration due to gravity while the arrangements of the graphs are; B> D > A> C.
What is the position- time graph?When we plot a graph, the graph would always have to axes; the vertical axis and the horizontal axis. In this case, the vertical axis is the position and the horizontal axis is the time. The slope of this graph speaks of the displacement of the object.
Looking at the first graph, we can see that it can be able to show the motion of an object that went up and fell down as the speed of the object would decrease during the upward motion as it is decelerated due to gravity and comes to a halt at the maximum height before it is accelerated as it moves downwards.
From the graphs, the ranking of the displacements for the second set of graphs as; B> D > A> C. This is because there is a positive slope in B and D while the slope in A is zero and that in C is negative.
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after a very short time, what is the difference between the pressure-difference across the component on the left and the pressure-difference across the component on the right?
Flow doesn't depends on absolute values of P1 and P2
Flow doesn't depends on absolute values of P1 and P2 but flow depends on pressure difference between top and bottom of each sides. This conclude that whenever { P2-P4 = P1-P3 } flow will be stop.
after some time, difference in pressure across either components is
{ P(Top) - P(bottom) }
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there are two identical glasses. one glass has a large ice cube. water is poured into both glasses until they are filled to the top. the ice cube floats partially submerged. which glass weighs more?
Neither. The glass without the ice cube has some weight with the glass with the ice cube.
When does the ice cube melt?We hаve аn ice cube of mаss m floаting in the wаter. If it is floаting (in equilibrium), it will hаve to displаce enough wаter to support its weight. How much is thаt? It is just Volume = m/d, where m is the mаss of the ice cube, аnd d is the density of wаter.
Where the ice hаs melted, it turns into a wаter of volume. Volume = m/d exаctly the sаme volume аs it displаced before. So the аdded volume is the sаme, so the level of the wаter will not chаnge.
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a woman stands on the edge of a cliff. she throws three identical rocks with the same speed. rock a is thrown vertically downward, rock b is thrown horizontally, and rock c is thrown vertically upward. assuming the elevation loss of the three rocks is the same (the ground at the base of the cliff is flat), which rock hits the ground with the highest speed?
The speed with which the rock A, B and C which are thrown same initial speed and same mass hit the ground is equal for all the rocks.
Let us consider the initial velocity be 1 m / s and the height of the cliff to be 10 m.
For the rock A which is thrown vertically downward,
v² = u² + 2 a s
v² = 1 + ( 2 * 9.8 * 10 )
v² = 197 m / s
v = 14 m / s
For rock B which is thrown horizontally,
vx = 1 m / s
v² = u² + 2 a s
v² = 0 + ( 2 * 9.8 * 10 )
v = 14 m / s
vy = 14 m / s
v = √ vx² + vy²
v = √ 1 + 14²
v = √ 197
v = 14 m / s
As we can see here all rocks start with same gravitational potential energy and end with same gravitational energy. So all rocks have equal velocity and kinetic energy, and so energy is conserved. So they all hit the ground with same speed.
Therefore, they all hit the ground with the same speed.
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In addition to being insanely adorable, the Klipspringer is known to jump 3.6 meters straight up in the air (that is several times their body height). What is the initial upward velocity required to make this happen?
Answer:
Explanation:
Given:
H = 3.6 m
V = 0 m/s
g = 9.8 m/s²
_________
V₀ - ?
Potential energy = m·g·H
Kinetic energy = m·V₀² / 2
Let's equate:
m·V₀² / 2 = m·g·H
V₀² / 2 = g·H
Starting speed:
V₀ = √ ( 2·g·H )
V₀ = √ (2·9.8·3.6) ≈ 8.4 m/s
A person standing on a hill throws a ball horizontally with a velocity of 12m / s The ball lands 10.1 m away from the hill. How tall is the hill? Assume no air resistance
A.3.5
B.6.9
C.0.84
D.0.42
The height of a hill from which the person throws a ball horizontally with a velocity of 12 m/s and the ball lands 10.1 m away from the hill is 3.47 m.
What is the height of a hill from which the person throws a ball horizontally with a velocity of 12 m/s and the ball lands 10.1 m away from the hill?The height of a hill from which the person throws a ball horizontally with a velocity of 12 m/s and the ball lands 10.1 m away from the hill is calculated as follows;
The ball was projected horizontally from the top of a hill, therefore, there is no vertical component of the velocity of projection and the object is considered to be undergoing free fall under gravity from a height, h.
The height from which an object falls freely under gravity is calculated with the formula below:
H = gt²/2
where g is the acceleration due to gravity = 9.81 m/s²
t is time.
the time taken for the fall = horizontal distance / velocity
t = 10.1 / 12
t = 0.841 s
Therefore;
h = 9.81 * (0.841)² / 2
h = 3.47 m
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