When the coordinate increases at a rate of units per second, the rate of change of the distance from the particle to the origin at this instant would be 0.3 units per second.
What is a coordinate and how it increases at units per second?Coordinate is the system in Mathematics in which different points or position is connected or other geometric elements on the manifold.By using coordinate phenomena, we may also find points on Earth.When a particle moves along the curve its coordinate increases at a rate of units per second, its rate increases.The distance from the particle to the origin at this instant will increase at 0.3 units per second.We use coordinates in geography too to determine the location coordinates in specific regions.To know more about the coordinates visit:
https://brainly.com/question/14029083
#SPJ9
When a catapult is shot at angle of 35° and travels a horizontal distance 0.75 m and is in the air for 0.45 seconds. If the initial velocity is the same as the first trial (at 35"), how far would the catapult shoot the object if it was shot at an angle of 45°?
Answer:
As we said, horizontal projectile motion equations are a special case of general formulas. We don't need to specify the angle of launch, as it's parallel to the ground (so the angle is equal to 0°). As a result, we have only one component of initial velocity - Vx = V, whereas Vy = 0.
horizontal projectile motion
We will take the starting point to be at the origin. Then, the equations of motion can be written as:
Distance
Horizontal distance can be expressed as x = V
Explanation:
This horizontal projectile motion calculator is a tool to solve a special case of projectile motion - the one where an object is launched horizontally from an elevated plane. Type in any two values, and the rest will be calculated in a blink of an eye! Furthermore, the trajectory will be displayed below the results. Keep scrolling to find out the horizontal projectile motion equations and a simple example of calculations - you shouldn't have problems with your exercises after reading our explanation!
A tow rope pulls a skier of mass 75 kg up a hill with a force of 20 N. The skier is moving at constant speed. The hill has an incline of 25 degrees. What is the value of the force of friction on the skier? What is the value of the normal force?
The magnitude of the frictional force on the skier is 20 N.
The magnitude of the vertical force of skier is 666.14 N.
What is the frictional force on the skier?The value of the frictional force on the skier is determined by applying Newton's second law of motion as follows;
F - Ff = ma
where;
F is the applied force in horizontal directionFf is the frictional force m is the mass of the skier a is the acceleration of the skierAt a constant speed, the acceleration, a = 0
F - Ff = 0
F = Ff
20 N = Ff
The vertical force due to weight of the skier is calculated as follows;
Fₙ = mg cosθ
where;
θ is the angle of inclination of the hillFₙ = (75 x 9.8) cos(25)
Fₙ = 666.14 N
Learn more about frictional force here: https://brainly.com/question/20241845
#SPJ1
Rowan is at an all-you-can-eat breakfast. He has a pancake on his plate and is going to put another pancake on top of it. Which one of these other pancakes would make the bottom pancake the warmest? Explain how the energy and temperature of both the bottom pancake and your chosen top pancake will change after they’ve been touching for a while, and why.
Answer:
look at the explanation
Explanation:
If this is the case, the pancake at the highest temperature will make the backside pancake the warmest due to transfer of thermal energy.
The switch of thermal strength between the hotter pancake and the backside pancake occurs through conduction. Conduction is a mode of transfer of thermal energy that takes place when the two bodies are in shut contact with each other.
After they have been touching for a while, the temperature of the backside pancake increases while the temperature of the top pancake decreases in view that thermal power is being transferred from the pinnacle pancake to the backside pancake.
A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg·m/s backward. What is the momentum of the rocket?
The momentum of the rocket is 1,500 kg m/s forward.
Momentum is the amount of motion of a moving body measured as the product of its mass and velocity.
According to the law of conservation of momentum, which states that the total momentum of the system must be constant.
It means that the change in momentum of the system must be equal to zero. Here the system is the rocket and the gases. So, applying the law of conservation of momentum to this system,Momentum of Gas + Momentum of Rocket = 0
Taking, forward direction as positive and the backward direction as negative
Momentum of Rocket - Momentum of the gas = 0
Momentum of Rocket - 1500 = 0
Momentum of Rocket = 1500 kg-m/s
Therefore the momentum of rocket is 1500 kg-m/s in forward direction.
To know more about momentum here
https://brainly.com/question/24030570
#SPJ1
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Which statement about the event above is NOT correct?
Answer:
i think its A
Explanation:
An atom of element X has one more shell of electrons than an atom of beryllium, but has one less valence electron than beryllium. Which element is element X?
The element x that has an atom which has one more shell of electrons than an atom of beryllium, and one less valence electron than beryllium is Sodium ( Na )
The number of shell of electrons in
Beryllium = 2 ( 2 , 2 )Sodium = 3 ( 2 , 8 , 1 )The number of valence electrons in
Beryllium = 2 ( 2 , 2 )Sodium = 1 ( 2 , 8 , 1 )The shell that is closer to the nucleus is called as K shell. The next one is called L shell, followed by M shell and N shell. The K shell can hold 2 electrons, L shell can hold 8 electrons, M shell can hold 18 electrons and N shell can hold 32 electrons.
Therefore, the element X is Sodium ( Na )
To know more about valence electrons
https://brainly.com/question/15054861
#SPJ1
(a) a stuntman with a mass of 88.5 kg swings across a pond from a rope that is 11.5 m. at the bottom of the swing the stuntman's speed is 8.30 m/s. the rope's breaking strength is 1,000 n. will the stuntman make it across the pond without falling in? yes no (b) what if? what is the maximum speed (in m/s) that the stuntman can have at the bottom of the swing on this vine to safely swing across the river? m/s
a) Since the rope's breaking strength is 1,000 N Therefore therefore the stuntman cant make it without falling
b) The maximum speed (in m/s) that the stuntman can have at the bottom of the swing on this vine to safely swing across the river is 4.24m/s
To determine if the stuntman will make it across the pond without falling, we will solve for tension. Using the equation for Tension which is mathematically given as
T = mv²/r + (mg)
Where:
Mass of swing; m = 88.5
Speed or velocity of the stuntman; v = 8.30m/s
Length of rope; r = 11.5m
Gravity; g = 9.8
T =(88.5*8.30)²/11.5 + (88.5*9.8)
T = 6096.76 + 867.3
T = 5229.46N
Since the rope's breaking strength is 1,000 N Therefore he cant make it without falling
b. In finding the maximum speed that the stuntman can have at the bottom of the swing, We substitute into the equation for tension given as:
T = mv²/r + (mg)
1000 =(88.5*v²)/11.5 + (88.5*9.8)
v² = 4.24m/s
Learn more on maximum speed from:
https://brainly.com/question/14881993?referrer=searchResults
#SPJ4
You place a box weighing 360.6 N on a inclined plane that makes a 39.5 angle with the horizontal
Compute the component of the gravitational force acting down the inclined plane. Answer in units of N
Answer:
467N (3sf)
Explanation:
360.6/cos(39.5) = 467.3257019
1. Choose the time interval with constant positive acceleration. (no calculations
needed)
A. 1 to 4 seconds
B. 7 to 9 seconds
C. 1 to 10 seconds
D. 4 to 5 seconds
Time with program duration at a constant amount of acceleration: 1 to 4 seconds. In mechanics, acceleration is the price you pay for exchanging the speed of an object for time.
Acceleration is a vector quantity. The direction of acceleration of an object is given by the direction of the net force acting on it. Acceleration is the name we give to any method of adjusting speed. If you think of velocity as velocity and path, then there is the simplest way to acceleration: change alternate velocity or alternate path - or both.
Acceleration (a) is the exchange of the ratio (Δv) for the change in time (Δt) expressed by the equation a = Δv/Δt. There are three styles of ascent motion: uniform acceleration, non-uniform acceleration, and medium acceleration. . Uniform acceleration, non-uniform acceleration, and medium acceleration are three types of improved motion. Uniform time acceleration refers to the motion in which an object moves in a straight line, jumping with the speed at equal time intervals.
Learn more about Acceleration here:
https://brainly.com/question/460763
#SPJ1
gravity and orbits phet lab simulation
Answer:
Explanation: is a good compilation
select the expressions that will be equal to the voltage of the battery in the circuit, where δva , for example, is the potential drop across resistor a.
The expressions that will be equal to the voltage of the battery in the circuit, will be:
ΔVA+ΔVB
ΔVA+ΔVC
ΔVD
What is voltage?The difference in electric potential, that is described as the work required per unit of charge to shift a test charge between the two points, is known as voltage, electric, electric pressure, or electric tension.
When charged electrons (current) are forced through a conducting loop by the pressure of an electrical circuit's power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).
Voltage drop is the reduction in electrical potential along an electrical current's passage in a circuit. Because some of the energy supplied is lost, voltage drops in the source's internal resistance, across conductors, and across connectors are undesirable.
It should be noted that because when we take the sum of voltage across these terminal the voltage will be same as that of the battery.
Learn more about voltage on:
https://brainly.com/question/1176850
#SPJ1
Divya has 70 rocks. she donates half of the rocks to a science center. then she collects 3 rocks on each of her nature hikes. write an expression to represent the number of rocks divya has after she collects rocks on n nature hikes.
The expression to represent the number of rocks Divya has after she collects rocks on n nature hikes is 35 + 3n.
What is Science?Science is a methodical endeavor that creates and arranges knowledge in the form of universe-related explanations and predictions that can be put to the test.
Some of the earliest archeological evidence for scientific reasoning is tens of thousands of years old, and science may be as old as the human species. Ancient Egypt and Mesopotamia produced the oldest written documents in the history of science between 3000 and 1200 BCE.
Initially Divya has 70 rocks, after that she donated half of the rocks to science center means she has now 35 rocks left.
According to the question, she collects 3 rocks on each of her nature hikes, so the expression will be :
35 + 3n where,
n= number of hikes.
To get more information about Science :
https://brainly.com/question/12842883
#SPJ1
what is the relationship between wavelength of light and the quantity of energy per photon? question 4 options: they have a direct, linear relationship. they are logarithmically related. they are only related in certain parts of the spectrum. they are inversely related.
Last option is correct that is the relationship between wavelength of light and the quantity of energy per photon is inversely related.
Energy is inversely correlated with wavelength because it is directly proportional to the electromagnetic frequency of the photon. The energy of a photon increases with its frequency. In other words, the energy of a photon decreases with increasing wavelength. Wavelength and frequency are related to energy in the same way that they are to light. Greater energy is correlated with shorter wavelengths and higher frequencies. Therefore, lower energy is produced by longer wavelengths and lower frequencies. E = hv is the energy equation. When we increase the denominator, the fraction also increases, resulting in a decrease in energy. As a result, energy and wavelength have an inverse relationship.
Learn more about Wavelength here-
https://brainly.com/question/13533093
#SPJ4
A force of 67 N is applied on a 10-kg object at an angle of 30 o with respect to the horizontal table. If the work done on the object is 257 J, how far has it moved in meters (m)? Ignore friction.
If A force of 67 N is applied on a 10-kg object at an angle of 30 o with respect to the horizontal table and the work done is 257J then the distance it covered is 3.32 m.
What is force?A body can change its state of rest or motion through the application of force, which is an external agent. It has both a magnitude and a direction. The application of force is the point at which force is applied, and the direction in which the force is applied is referred to as the direction of the force.
A spring balance can be used to gauge the Force. The SI unit of force is the Newton (N).
The vector product of mass (m) and acceleration (a) is used to express the amount of force (F) . the formula of force can be written like F = m × a.
The formula for work done is
W = fd cos θ
Here force f = 67 N
Work done W = 257 J
θ = 30°
Substituting the values
d = W/F cos θ
d = 257 /67 (cos 30°)
d = 3.32 m
Learn more about Force
https://brainly.com/question/12785175
#SPJ10
A graph titled Position versus time for with horizontal axis time (seconds) and vertical axis position (meters). A straight blue line runs with an upward slope from 0 seconds 2 meters to 4 seconds 8 meters.
Which statements describe the motion of the object represented by the graph? Select three options.
The object is moving away from the origin.
The object is moving towards the origin.
The object started at the origin.
The object started at 2 meters.
The object is traveling at a constant velocity.
The true statements are;
The object is moving away from the origin.The object started at 2 meters.The object is traveling at a constant velocity.What is the position time graph?The position time graph is the graph that shows the movement of a body over a given time interval. Let us note that a graph is always plotted on the cartesian coordinates. One of the coordinates is vertical and the other coordinate is horizontal. This is the nature of the plot in the question
Having said this, we know from the question that; a graph titled Position versus time for with horizontal axis time (seconds) and vertical axis position (meters). A straight blue line runs with an upward slope from 0 seconds 2 meters to 4 seconds 8 meters.
Thus, we can say that, the statement that is true about the graph can be seen in the first section of the answer.
Learn more about velocity:https://brainly.com/question/18084516
#SPJ1
Answer:
1- The object is moving away from the origin.
2- The object started at 2 meters.
3- The object is traveling at a constant velocity.
what is the acceleration (in m/s2) of gravity on the surface of the moon? m/s2 (b) what is the acceleration (in m/s2) of gravity on the surface (or outer limit) of venus? the mass of venus is 4.88 ✕ 1024 kg and its radius is 6.06 ✕ 106 m.
The acceleration due to gravity on the surface of the Moon is 1.635 m/s² and on the surface of Venus is 8.8634 m/s².
What is the acceleration due to gravity?There is acceleration, gravitational force, and acceleration due to gravity, all three are completely different from each other.
Acceleration due to gravity denoted by 'g' is the combined force of centrifugal force and gravitation force.Here g= 9.8 m/s² this force is caused by the force acting on the body due to the gravitational field.We know that the acceleration of gravity on the moon = 1/6 acceleration of gravity on the Earth
Therefore, the acceleration of gravity on the surface of the moon is given as
= 9.81 / 6
= 1.635 m/s²
b) For any planet (Venus) the acceleration of gravity is given as
g = GM/ R²
G = 6.67 × 10⁻¹¹
M = 4.88 × 10²⁴
R = 6.06 × 10⁶
g = ( 6.67 × 10⁻¹¹)(4.88 × 10²⁴) / (6.06 × 10⁶)²
g = 8.634 m/s²
To know more about acceleration due to gravity, visit:
https://brainly.com/question/13860566
#SPJ9
A rocket launcher makes an angle of 53.1 degrees from the ground. It launches a rocket with an initial speed of 20.8 m/s.
How high is it from the ground, in meters, after 1.43 seconds???
Height of the rocket launcher from the ground will be 33.7 m.
Initial speed of the rocket launcher = 20.8 m/s
Rocket launcher makes an angle of 53.1° from the ground.
Since the motion of the rocket is a projectile motion, as the rocket is projected from an angle of 53.1° from the ground, height of the rocket can be calculated using the formula [tex]h = \frac{v^{2}Sin^{2}\alpha }{2g}[/tex],
'h' is the height of the rocket
'v' is the final velocity of the rocket
'[tex]\alpha[/tex]' is the angle made by the rocket from the ground
' v' can be calculated by using the equations of the motion as v - u = gt
v = u + gt
v = 20.8 + (9.81) * (1.43)
v = 34.8 m/s
So,
[tex]h = \frac{v^{2}Sin^{2}\alpha }{2g}[/tex]
[tex]h = \frac{34.8^{2} Sin^{2}53 }{2*9.81}[/tex]
h = 33.7 m
The rocket will be 33.7m high from the ground after 1.43 seconds.
To know more about projectile motion,
https://brainly.com/question/20049511
#SPJ1
two spheres have identical charges and are 75cm apart. the force between them is 0.30N. what is the magnitude of the charge on each sphere?
The magnitude of the charge on each sphere 4.33 × 10^(-6) C.
What is magnitude?Magnitude means simply "distance or volume" in the perspective of physics. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. Magnitude in physics generally refers to a quantity or quantity. The definition of magnitude is "how much of a quantity." In order to compare the speeds of an automobile and a bicycle, for example, the magnitude can be utilized. It can also be used to explain how far an object has traveled or how much an object weighs in terms of its magnitude.
Distance between center's of 2 spheres
r = 75 c
= 0.75 m
Force between the charges
F = 0.3 N
Formula for force between the charges is;
F = (kq1×q2)/r²
Here;
k is a constant = 9 × 10^(9) N.m²/C²
q1 = q2
= q since they are identical charges
Hence ,
F = kq²/r²
q = √(Fr²/k)
q = √(0.3 × 0.75²/(9 × 10^(9))
q = 4.33 × 10^(-6) C
To know more about magnitude ,visit:
brainly.com/question/16033085
#SPJ9
an object of unknown mass m is hung from a vertical spring of unknown spring constant k, and the object is observed to be at rest when the spring has extended by 11 cm . the object is then given a slight push and executes shm.
When the object receives a light push and operates, the oscillation's period is T = 2.084 s.
Equation :Calculate time period of the spring with the following formula.
T = 2π√m/k
Where,
m is the mass of the spring
k is the spring constant
As gravitational force is balanced by the spring force.
Now, the above formula can also be written as,
T = 2π√x / g
In this case, x denotes the spring's separation from the equilibrium point.
When a vertical spring has extended by 11 cm (0.11 m),
It is observed that an object with an unknown mass m,
It is suspended from the spring, is at rest
Putting all the values,
T = 2π √ 0.11 m / 9.8
T = 2π √0.011
T = 2.084 s
As a result, when the object receives a light push and operates, the oscillation's period is T = 2.084 s
To know more about equilibrium :
https://brainly.com/question/13463225
#SPJ9
if you don't keep giving a car gas, the car will evetually stop
If you don't keep giving a car gas, the car will eventually stop because gas is a fuel that is used by the car as a form of energy.
Why car needs gas for motion?Our car needs gas that allows the vehicle to operate and move in the forward direction. The fuel system does the process of combustion which moves the pistons of the engine and the car moves in the forward direction. Combustion occurs when the fuel in your engine is sparked by the spark plugs of the engine. When the spark combines with the gas fuel, the gas fuel blasts and moves the pistons which are attached to the tires of a car which leads to the movement of the car in the forward direction.
So we can conclude that the car will stop if the gas is not present in sufficient amounts because gas allows the car to move.
Learn more about gas here: https://brainly.com/question/25649765
#SPJ1
HELP ME PLEASE!! WILL GIVE BRAINLIEST
(answer keys)
convection
conduction
radiation
1: b, conduction
2: a, convection
3: c, radiation
i hope these answers help! if theyre incorrect i apologize
Force vectors can be added together in any order. It does not matter which vector you draw first, the resultant will be the same, both in length and direction. Practice finding resultant vectors by completing this assignment.
You will need a ruler and a protractor. Calculate the resultant force vector for each of the following sets of two force vectors. You will need the protractor to make sure you are redrawing each force vector in the right direction using the correct angles. The ruler is used to redraw the force vectors with the correct magnitude. After you sketch the resultant, measure the length and the direction of it. Provide the magnitude and direction, including the units, for your answers. The horizontal dotted lines are there simply to help you measure the angles with the protractor. Graph paper would help with this assignment.
Answer:
Explanation:
It is C
Answer:
Explanation:
Hope this helps :)
An astronaut weighs 655 N on Earth. If the same astronaut weighs 465 N on an alien planet, what is the magnitude of the acceleration due to gravity on the alien world (in m/s2)?
Round to the nearest hundredth.
Hint: Your answer should be a positive number.
The acceleration due to gravity on astronaut on the alien planet will be 6.38 m/s²
What is Weight?Weight is a force exerted by earth on a body in a vertically downwards direction towards its center.
Mathematically -
Weight [W] = mass [m] x acceleration due to gravity [g].
Given is an astronaut whose weight is 655 N on Earth and the same astronaut weighs 465 N on an alien planet.
We can write -
Weight on earth [W] = 655 N
Acceleration due to gravity on Earth [g] = 9.8 m/s²
Weight on alien planet [W'] = 465 N
Assume the acceleration due to gravity on alien planet be g'.
Then -
W[earth] = mg = W.
W[alien planet] = mg' = W'.
Since the mass remains same, we can say that -
m[earth] = m[alien planet]
W/g = W'/g'
g' = (W'g)/W
g' = (465 x 9.8)/655
g' = 6.38 m/s²
Therefore, the acceleration due to gravity on astronaut on the alien planet will be 6.38 m/s²
To solve more questions on Weight, visit the link below-
https://brainly.com/question/2273281
#SPJ1
the ebb and flow of the tides has been occurring every day for millions of years. but nothing lasts forever. so, the motion of the tides will die out within a few years.
the motion of the tides will die out within a few years due to weak and uncogent, true premise, probably false conclusion.
The two gravitational and inertial tidal bulges will spin around the Earth as the moon's location changes. These peaks are high tides, and the flat sides are low tides. A lunar day is the amount of time needed for one point on Earth to complete one full rotation and arrive at the same location with respect to the moon. The moon circles around the Earth in the same direction that the Earth is rotating, which accounts for why a lunar day is longer than a typical 24-hour day. The Earth needs an additional 50 minutes to "catch up" with the moon.
Learn more about Tides here:
https://brainly.com/question/3304072
#SPJ4
correct answer id C but how.. explain
This concept of resultant is based. on a simple law of vector addition.
So,
R = [tex]\sqrt{F 2 + F₂ 2 + 2 F, Fg cos Ф}[/tex]∅
where ∅ = angle between f1 & f2
R² = √[tex]\sqrt{ 3² + 4 ² + 2(3) (4) cos 90° 2}[/tex]
[tex]\sqrt{9+16}[/tex]
[tex]\sqrt{25}[/tex]
= 5N
Magnitude of resultarst force is 5N.
To find the resultant force subtract the smaller force from the larger force. The direction of the resultant force will be in the same direction as the larger force. Draw axes on the free-body diagram. Decompose the force acting on an object into its x and y components.
Add the x and y components of all forces to calculate the x and y components of the resultant force. Finally, find the magnitude and direction of the resultant force using the x and y components. The resultant force is expressed as the total amount of force acting on an object or body along the direction of the object. If the object is at rest or moving at the same speed as the object, the resultant force is zero.
Learn more about The resultant force here:-https://brainly.com/question/24524696
#SPJ1
Johnny is getting into building and launching model rockets. In designing a rocket, he has to select an engine based on how much force it produces. If his rocket has a mass of 5.00 kg and he wants it to have an acceleration of 12.9 m/s2, how much force in Newtons does the engine need to produce? (Answer should have 3 significant figures.)
The force in Newtons that the engine need to produce is 64.5 N.
What is the force produced by the engine?The force produced by the engine can be determined by applying Newton's second law of motion.
Newton's second law of motion, states that the force applied to an object is directly proportional to the product of mass and acceleration of the object.
This law also states that the rate of change of momentum of an object is directly proportional to the force exerted by the object.
Mathematically, Newton's second law of motion is given as;
F = ma
where;
m is mass of the objecta is acceleration of the objectF is force exerted by the engineSubstitute the given parameters and solve for the force applied by the engine.
F = (5 kg)(12.9 m/s²)
F = 64.5 N
Thus, based on the mass and acceleration selected by Jonny, the engine can produce a force of 64.5 N.
Learn more about force here: https://brainly.com/question/12970081
#SPJ1
the electron binding energy for gold metal is . find the longest wavelength (in ) of light that could eject electrons from gold in a photoelectric effect experiment.
The electron binding energy for gold essence is. find the longest wavelength( in) of light that could eject electrons from gold in a photoelectric effect trial.
Electron
The electron is a subatomic flyspeck( denoted by the symbol whose electric charge is negative one abecedariancharge.Electrons belong to the first generation of the lepton flyspeck family, and are generally allowed to be abecedarian patches because they've no given factors or substructure. The electron's mass is roughly 1/ 1836th that of the proton. Quantum mechanical parcels of the electron include an natural angular instigation( spin) of a half- integer value, expressed in units of the reduced Planck constant, ħ. Being fermions, no two electrons can enthrall the same amount state, in agreement with the Pauli rejection principle. Like all abecedarian patches, electrons parade parcels of both patches and swells They can collide with other patches and can be diffracted like light. The surge parcels of electrons are easier to observe with trials than those of other patches like neutrons and protons because electrons have a lower mass and hence a longer de Broglie wavelength for a given energy.
Electrons play an essential part in multitudinous physical marvels, similar as electricity, captivation, chemistry and thermal conductivity, and they also share in gravitational, electromagnetic and weak relations. Since an electron has charge, it has a girding electric field, and if that electron is moving relative to an bystander, said bystander will observe it to induce a glamorous field.
To learn more about electron click on given link below
https://brainly.com/question/25458147
#SPJ9
Did the fruit orange come first or did the color come first?
Answer:
The fruit came first
Explanation:
water reaches to the magma that changes into steam .the steam contains which type of energy
Answer:
Geothermal energy
Explanation:
a loop antenna, such as is used on a television to pick up uhf broadcasts, is 25 cm in diameter. the plane of the loop is perpendicular to the oscillating magnetic field of a 150 mhz electromagnetic wave. the magnetic field through the loop is bbb
The induced EMF in the Loop of the Antenna due to oscillating magnetic field is -0.207 Volts.
We know,
The EMF induced = -(The rate of change of magnetic flux with time)
E = -d(MA)/dt
Here,
E is the induced emf,
M is the magnetic field,
A is the area of the loop.
As we can see, area is constant,
E = -AdM/dt
The value of M is 24sin(ωt).
So, putting the value of M,
E = -Ad(24sin(ωt))/dt
E = -A(24ωcos(ωt))
We know,
ω = 2πf
where
f is the frequency,
Now, we can write,
For maximum emf, cos(ωt) = 1,
So, E = -(A.24.2πf)
So, finally,
E = -πr².24.2πf
where, r is the radius of the loop,
The value of frequency f is 170MHz and,
the value of r is 25cm, 0.25 in meters,
Putting all the values,
E = 3.14 x 0.25 x 0.25 x 24 x 2 x 3.14 x 170 x 10⁶
E = -209.51 x 10⁶ nV.
1 nV = 10⁻⁹V
so,
E = -209.51 x 10⁶ x 10⁻⁹ V
E = -0.209 V
So, the induced EMF is -0.207 V.
To know more about Induced EMF, visit,
https://brainly.com/question/17329842
#SPJ9
Complete Question - A loop antenna, such as is used on older televisions to pick up UHF broadcasts, is 25 cm in diameter. The plane of the loop is perpendicular to the oscillating magnetic field of a 170 MHz electromagnetic wave. The magnetic field in (nT) through the loop is 24sin(ωt), where ω is the angular frequency of the wave. What is the maximum emf induced in the antenna?