as a new electrical technician, you are designing a large solenoid to produce a uniform 0.150 t magnetic field near the center of the solenoid. you have enough wire for 4000 circular turns. this solenoid must be 55.0 cm long and 2.30 cm in diameter. part a what current will you need to produce the necessary field?
Answers
A solenoid is a long, straight coil of wire consisting of many circular turns. When a current passes through a solenoid, a magnetic field is produced inside it.
When the direction of the current passing through the solenoid is reversed, the magnetic field inside the solenoid reverses as well.
The magnetic field inside a long solenoid of uniform cross-sectional area and the number of turns per unit length is given by
\(B=\mu NI/L\) ,
where μ is the permeability of free space (\(4\pi \times10^{-7} T m A^{-1}\)),
N is the number of turns of wire,
I is the current through the wire, and L is the length of the solenoid.
Magnetic field B = 0.150 T
To calculate the current I that is required to produce the necessary magnetic field B, we can rearrange the above equation to isolate the current term as shown below.
\(B=\mu NI/L\)
\(I=B(L/\mu N)\)
\(I=B(L/\mu N)=(0.150 T \times 0.550 m)/(4\pi \times10{-7} T m A^{-1} \times 4000)\)
\(I=16.41 A\)
Therefore, the necessary current to produce the required magnetic field near the center of the solenoid with 4000 circular turns is 16.41 A.
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Related Questions
Suppose that you observe a spaceship passing in front of you at a relative velocity v=0.75c. According to a clock on Earth, 2.5 seconds passed in the spaceship clock.Find the time elapsed for an observer inside the spaceship.
Answers
Given,
The velocity of the spaceship in as observed by an observer at the earth, v=0.75c
The time interval as observed by the observer on the earth, t₁=2.5 s
The time elapsed in the ship's frame of reference is given by,
\(t_2=\frac{t_1}{\sqrt[]{1-\frac{v^2}{c^2}}}\)On substituting the known values,
\(\begin{gathered} t_2=\frac{2.5_{}}{\sqrt[]{1-\frac{(0.75c)^2}{c^2}}} \\ =\frac{2.5}{0.66} \\ =3.79\text{ s} \end{gathered}\)Thus the time elapsed for an observer in the spaceship is 3.79 s
What is the CDC, and what does it have to do with healthy weight levels?
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Answer:
Height: Weight: Your BMI is , indicating your weight is in the category for adults of your height. For your height, a healthy weight range would be from to pounds....
Explanation:
Short-wave (specifically, ultraviolet) radiation is affected by the ozone hole. What kind of radiation is involved in the issue addressed by the Paris Agreement? 4. Ultraviolet radiation comes from above, from the Sun. What's emitting the radiation in your answer to #3? 5. The problem with the ozone hole is that ultraviolet radiation is not absorbed and instead reaches Earth's surface. What's happening to the radiation in your answer to #3?
Answers
The Paris Agreement focuses on reducing greenhouse gases to limit global temperature rise. The ozone hole, caused by UV radiation from the Sun, poses risks to human health and ecosystems.
The issue addressed by the Paris Agreement primarily focuses on greenhouse gases and their impact on global climate change. It aims to combat climate change by limiting global temperature rise to well below 2 degrees Celsius above pre-industrial levels and pursuing efforts to limit the temperature increase to 1.5 degrees Celsius.
The Paris Agreement primarily deals with the mitigation of greenhouse gas emissions and the adaptation to the effects of climate change.
The radiation involved in the issue addressed by the Paris Agreement is primarily infrared radiation. Greenhouse gases, such as carbon dioxide (CO2) and methane (CH4), trap infrared radiation emitted by the Earth's surface and prevent it from escaping into space. This leads to an increase in the Earth's temperature, known as the greenhouse effect.
In the context of the ozone hole, the ultraviolet (UV) radiation from the Sun is being affected. The ozone layer in the Earth's stratosphere absorbs a significant portion of the Sun's UV radiation.
However, the presence of certain chemicals, such as chlorofluorocarbons (CFCs), can deplete the ozone layer and create a hole. When the ozone layer is depleted, UV radiation is not effectively absorbed, allowing more UV radiation to reach the Earth's surface.
This increased UV radiation can have detrimental effects on human health, ecosystems, and the environment, including potential skin damage, increased risk of skin cancer, and disruption of marine and terrestrial ecosystems.
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how much does a change in mass affect the kinetic energy of two balls of comparable diameter?
Answers
Answer:
Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant.
In this state, Kinetic energy is equal to half of the product mass and velocity. SI unit is joules. So it's if the mass is doubled then the kinetic energy also gets doubled.
A positive charge of 0.00033 C is 25 m from a negative charge of 0.00017 C. What is the force of one of the charges due to the other charge in units of Newtons
Answers
The electrostatic force between the two charges is attractive force and the magnitude of this electrostatic force is 0.808 N.
Electrostatic force between the two chargesThe electrostatic force between the two charges is calculated by applying Coulombs' law as follows;
F = kq₁q₂/r²
where;
k is Coulomb's constantq₁ and q₂ are first and second charge respectivelyr is the distance of separationF = (9 x 10⁹ x 0.00033 x 0.00017)/(25²)
F = 0.808 N
Thus, the force of one of the charges due to the other charge is 0.808 N.
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a movable bin and its contents have a combined weight of 2.1 kn determine the shortest chain sling acb that can be used to lift the loaded bin if the tension in the chain is not to exceed 5 kn. the shortest chain sling acb that can be used is m.
Answers
The shortest chain sling ACB for a movable bin is 1.228 m.
The question is not complete. A similar question is in the attachment. Use the image in a similar question for this problem. Look at the picture. In the system works
Tension in the chain T₁ and T₂The weight of a movable bin = wTriangle ABC is an isosceles triangle. If ∠ CAB = ∠ CBA = θ.
T₁ = T₂ ≤ 5 kNT₁ = T₂ = 5,000 N AC = BCw = 2.1 kN = 2,100 N
At point C, the direction of the weight is upward.The forces T₁ and T₂ can be described with respect to the y-axes and become T₁y and T₂y. Look at triangle ACO
sin θ = T₁/T₁y
T₁y = T₁ sin θ Look at triangle BCO
sin θ = T₂/T₂y
T₂y = T₂ sin θ
According to Newton's first law, in the y-axis
∑ F = 0
w - T₁y - T₂y = 0
T₁y + T₂y = 2,100
T₁ sin θ + T₂ sin θ = 2,100
5,000 sin θ + 5,000 sin θ = 2,100
10,000 sin θ = 2,100
sin θ = 2,100 ÷ 10,000
sin θ = 0.21
θ = sin⁻¹ (0.21)
θ = 12.12°
Look at AOC
AO = OB = AB ÷ 2 = 1.2 ÷ 2 = 0.6 m cos θ = AO ÷ACcos 12.12° = 0.6 ÷ AC
0.978 = 0.6 ÷ AC
AC = 0.6 ÷ 0.978
AC = 0.614 mACB = AC + BC
ACB = 0.614 + 0.614
ACB = 1.228 m
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What is the velocity of a 750 kg object at a height of 0m if it’s ME is 3590J?
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Answer:
Sorry for this question
where are lighter elements fused into elements more massive than iron?
Answers
Lighter elements are fused into elements more massive than iron in the core of massive stars during stellar nucleosynthesis, specifically during supernova explosions.
Lighter elements are fused into elements more massive than iron through a process called nucleosynthesis. This process occurs in the extreme conditions found within the cores of massive stars during their late stages of evolution. The fusion reactions that lead to the formation of heavier elements require extremely high temperatures and pressures.
In the core of a massive star, hydrogen is fused into helium through the process of nuclear fusion. As the star evolves, the core becomes denser and hotter, allowing for the fusion of helium into elements like carbon and oxygen. This continues with successive fusion reactions, where heavier elements are synthesized.
However, the fusion process reaches a limit when it comes to iron. Iron has the highest binding energy per nucleon, making it energetically unfavorable to fuse iron nuclei further. Instead, in the cores of massive stars, when iron begins to accumulate, the fusion reactions cease, and the star undergoes a catastrophic event known as a supernova.
During a supernova explosion, the tremendous energy released enables the synthesis of elements more massive than iron through a rapid process called r-process nucleosynthesis. Neutrons are rapidly absorbed by atomic nuclei, creating unstable, neutron-rich isotopes that undergo radioactive decay, leading to the formation of elements higher on the periodic table.
In summary, the fusion of lighter elements into elements more massive than iron primarily occurs in the cores of massive stars and during the explosive events of supernovae.
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An ionized calcium atom has a charge of +2
elementary charges. If this ion is accelerated through
a potential difference of 2.0 x 103 volts, the ion's
change in kinetic energy will be
Answers
The change in the kinetic energy of the calcium ion's is 6.4 x 10⁻¹⁶ J.
Change in Kinetic energy of calcium atomThe change in the kinetic energy of the ion's which accelerated through the given potential difference is calculated as follows;
ΔK.E = qV
where;
ΔK.E is the change in kinetic energyq is the charge of the ionV is the potential differenceSubstitute the given parameters in the above equation and solve for change in kinetic energy.
ΔK.E = (2e)V
ΔK.E = (2 x 1.6 x 10⁻¹⁹) x (2.0 x 10³)
ΔK.E = 6.4 x 10⁻¹⁶ J
Thus, the change in the kinetic energy of the calcium ion's is 6.4 x 10⁻¹⁶ J.
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The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by y(t) = 2e−t cos 4t, where y is the displacement (in centimeters) and t is the time (in seconds). Find the displacement when t = 0, t = 1 4 , and t = 1 2 . (Round your answers to two decimal places.)
Answers
Note that the correct times are t = 0, t = 1/4, t = 1/2. You can tell from the spaces between the two digits. i.e 1&4 and 1&2
Answer:
y(0) = 2.00 cm
y(1/4) = 1.56 cm
y(1/2) = 1.21 cm
Explanation:
This is a very simple exercise, the displacement of the oscillating weight from equilibrium has already been modeled by the equation:
\(y(t) = 2e^{-t} cos 4t\)
Where y = displacement ( in cm)
and t = time (in seconds)
The task is to find the displacement when t = 0, 1/4 and 1/2
When t = 0 s
\(y(0) = 2e^{0} cos 4(0)\\y(0) = 2* 1*1\\y(0) = 2.00 cm\)
When t = 1/4 s
\(y(1/4) = 2e^{-1/4} cos 4(1/4)\\y(14) = 2e^{-1/4} cos (1)\\y(1/4) = 1.56 cm\)
When t = 1/2
\(y(1/2) = 2e^{-1/2} cos 4(1/2)\\y(14) = 2e^{-1/2} cos (2)\\y(1/2) = 1.21 cm\)
Draw a diagram of a projectile that shows what is happening to the vertical (y) velocity of a projectile as it moves along its path . You must include what is happening to the speed of the velocity on the way up the way down and the max height.
Answers
The vertical velocity of the projectile increases but reaches zero at the maximum height and begins to decrease.
What is a projectile?When we talk of the projectile, we are talking about the object that is moving along a parabolic path. Hence the object that is undergoing the projectile motion is going to have a curved path. Take an instance, when you kick a soccer ball, you have to notice that the ball would tend to curve as it moves up in the air and then begins to descend. That is a typical example of a projectile motion.
Now, we have to note that at the maximum height, the vertical velocity of the object would be zero. When I throw an object up, the vertical velocity of the object would continue to increase until the object reaches the maximum height where the vertical velocity is zero and then the vertical velocity of the object begins to decrease as shown in the image.
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What is the maximum speed at which a car can safely travel around a circular track of radius 142 meters if the coefficient of friction between the tires and the road is 1.07? Include units in your answer. Answer must be in 3 significant digits.
Answers
Given that the radius of the circular path is r = 142 m and the coefficient of the friction is
\(\mu=1.07\)The condition for the car to travel safely is
Frictional force = centrifugal force
\(\mu mg=\frac{mv^2}{r}\)Here, m is the mass of the car and the acceleration due to gravity is g = 9.8 m/s^2.
v is the maximum speed of the car.
\(\begin{gathered} v=\sqrt[]{ugr} \\ =\sqrt[]{1.07\times9.8\times142} \\ =38.58\text{ m/s} \end{gathered}\)Create a hypothesis using If, then and because.
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Hypothesis: If I lower the amount of prey, then the frog population would lower, because the frogs would not have any food and then they would die.
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A truck enters a highway driving 60 mph A car enters the highway at the same place 0 nutes later and dives 72 mph in t The car will pass the truck in (Round to the nearest minute) minutes same directi
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A truck enters a highway driving 60 mph A car enters the highway at the same place 0 nutes later and dives 72 mph in t The car will pass the truck in (Round to the nearest minute) minutes same direction From So the car enters the highway,However, this contradicts the information given that the car enters the highway 0 minutes later than the truck.
To determine how long it will take the car to pass the truck, we can set up an equation based on their relative speeds and distances traveled.
Let's assume that the car passes the truck after time 't' minutes.
In 't' minutes, the truck will have traveled a distance of 60 × (t/60) = t miles.
The car enters the highway 0 minutes later and travels at a speed of 72 mph. Therefore, when the car passes the truck, it will have traveled a distance of 72 × (t/60) = 1.2t miles.
To find when the car passes the truck, we can set up the following equation:
t = 1.2t
Simplifying the equation, we get:
t - 1.2t = 0.2t
0.2t = 0
This equation does not yield a valid solution since it implies that the time required for the car to pass the truck is 0 minutes. However, this contradicts the information given that the car enters the highway 0 minutes later than the truck.
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What must be true about two objects for conduction to take place? The objects must be different temperatures and they must be in contact. The objects must be the same temperature and they must be in contact. The objects must be different temperatures and they must be insulators. The objects must be the same temperature and they must be insulators.
Answers
Answer:
A.The objects must be different temperatures and they must be in contact.
Explanation:
Students conducted a pendulum experiment to demonstrate the conservation of
energy principle. The diagram shows the pendulum at different points of its swing.
Which number(s) on the diagram would correspond to the point(s) of the pendulum's
swing with the least kinetic energy?
Answers
Answer:
1 and 5
Explanation:
Kinetic energy is the energy that an object possesses due to its motion. Since the pendulum has 0 velocity at points 1 and 5, and it is at those points that the pendulum is furthest from its equilibrium position, we say that it has no kinetic energy and maximum potential energy.
What is double-slit time diffraction at optical frequencies?
Answers
Double-slit time diffraction at optical frequencies is a phenomenon where light is passed through two narrow slits that are placed close together.
As the light waves pass through the slits, they interfere with each other and create an interference pattern on a screen placed behind the slits. This pattern is created due to the diffraction of light waves, which causes them to bend around the edges of the slits and interfere with each other.
This phenomenon is particularly important in optics, as it allows us to study the behavior of light waves and their interaction with matter.
Double-slit diffraction at optical frequencies refers to the interference pattern produced when light waves of optical frequencies pass through two closely spaced slits. The pattern results from the superposition of light waves, creating areas of constructive and destructive interference, which correspond to bright and dark bands respectively. This phenomenon demonstrates the wave nature of light and is a fundamental concept in the study of optics and wave physics.
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The table below shows the height of some horse fossils.
Horse Fossil RecordHorse Fossil Height (cm)
W 52
X 135
Y 38
Z 100
Ancient horses were much smaller than present-day horses. The present-day horse is 140 centimeters tall. What is the correct order of evolution of the horse starting from the oldest fossil?
X Z W Y
Y W Z X
W Y X Z
Z X W Y
Answers
Answer:
Y W Z X, B
Explanation:
It wants you to figure out the correct order starting from oldest to newest.
Answer:
Y W Z X, B
Explanation:
I took the FLVS test :)
Two small balls, each of 1-lb weight, hang from strings of length L=3 ft. The left ball is released from rest with θ=35∘. The coefficient of restitution of the impact is e = 0. 76. Through what maximum angle does the right ball swing?
Answers
Two small balls, each of 1-lb weight, hang from strings of length L=3 ft. The left ball is released from rest with θ=35∘. The coefficient of restitution of the impact is e = 0. 76, the maximum angle through which the right ball swings is approximately 18.4 degrees.
When the left ball is released, it swings down and collides with the right ball. The two balls then swing together as a single system. Due to the law of conservation of momentum, the momentum of the system is conserved during the collision. However, energy is lost due to the coefficient of restitution.
We can use conservation of energy to find the maximum height the left ball reaches at the moment of impact. The initial potential energy of the left ball is given by mgh, where m is the mass of the ball, g is the acceleration due to gravity, and h is the height of the ball above its rest position. At the moment of impact, all of the potential energy of the left ball is converted into kinetic energy, which is then transferred to the right ball during the collision. Therefore, we can equate the potential energy of the left ball to the kinetic energy of the right ball just after the collision
mgh = (1/2)m\(v^{2}\)
Where m is the mass of the right ball, v is its velocity just after the collision, and h is the maximum height reached by the left ball. Using the fact that the two balls have equal masses, we can solve for v
v = \(\sqrt{2gh}\)
Next, we can use conservation of energy to find the maximum height the right ball reaches. At the highest point of the swing, all of the energy is in the form of potential energy, which is given by mgh, where m is the mass of the ball, g is the acceleration due to gravity, and h is the height of the ball above its rest position. Using the fact that the system loses energy due to the coefficient of restitution, we can write
(1/2)m\(v^{2}\) = emgh
Where e is the coefficient of restitution. Solving for h, we get:
h = (\(v^{2}\)) /(2eg)
Substituting the expression for v derived above, we obtain
h = (2g(L - L*cos(theta)))/(2eg)
Where theta is the initial angle of the left ball, and L is the length of the strings. Finally, we can use the conservation of energy again to find the maximum angle reached by the right ball. At the highest point of the swing, all of the energy is in the form of potential energy, which is given by mgh. Setting this equal to the initial potential energy of the system, we have
mgh = 2mg(L - L*cos(theta))
Solving for the maximum angle, we get
max angle = arccos((2L - h)/(2L))
Substituting the expression for h derived above, we obtain
max angle = arccos(1 - (eLcos(theta))/(gL))
Plugging in the given values, we get
max angle ≈ 18.4 degrees
Therefore, the maximum angle the right ball swings is approximately 18.4 degrees.
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Friction force is the opposition to the motion of surfaces sliding across each other. Based on your observations, what is one factor that affects the amount of friction?
Answers
One factor that affects the amount of friction is roughness or smoothness of the sliding object.
Factors affecting friction
There are several factors affecting the amount of friction and they include the following;
Roughness or smoothness of the sliding object.Roughness or smoothness of the surface.Shape of the object.Normal force acting upon the sliding bodies.Dry friction is independent of the surface area of a contact.Thus, one factor that affects the amount of friction is roughness or smoothness of the sliding object.
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Answer: It depends on the surface is the surface bumpy? Or is the surface flat and smooth?
Explanation: If a surface is to bumpy friction slows it down, if a surface is flat and smooth it glides with ease.
What battery voltage is necessary to supply 0.51 A of current to a circuit with a resistance of 29 Ω? answer in:______volts
Answers
Ohm's law states that:
\(I=\frac{V}{R}\)where V is the voltage, R is the resistance and I is the current; in this case the current is 0.51 A and the resistance is 29 Ohms. Plugging these and solving for the voltage we have:
\(\begin{gathered} 0.51=\frac{V}{29} \\ V=29(0.51) \\ V=14.79 \end{gathered}\)Therefore, the voltage is 14.79 V
A car weighs 3,000 kg. What is the momentum of a car travelling at 60 km/h?
Answers
Answer:
GIVEN,
MASS, m = 1500 kg
INITIAL VELOCITY,u = 36 km/h = 36*5/18 = 10 m/s
FINAL VELOCITY ,v = 72 km/h = 72*5/18= 20 m/s
FORMULA :
CHANGE IN MOMENTUM,p = mv - mu
1500*20 - 1500*10
30000 - 15000
= 15000 kg m/s
Explanation:
help please! this is physics !
Answers
Answer:
4. The choose b. 0.000355
Ans; 3.55× 10-⁴ = 0.000355
5. The choose C. 80600
Ans; 8.06 ×10⁴= 806×10² = 80600
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First if the power is negative, move the decimal to the left. And you move the decimal by the number on the power. So you move 4 to the left. Same goes for the other except it’s positive so you go 4 to the right.
pls somebody help there is a blank space between this and the question its screenshotted just look down
Answers
Answer:
This relationship is from Newtons Second Law of Motion
Newton's second law shows that there is a direct relationship between force and acceleration. The greater the force that is applied to an object of a given mass, the more the object will accelerate.
Its expressed as
F=ma
help please I need this as quick as posible!!!
Momentum is exploited in many different sports and games. Write a brief essay on the uses of momentum collisions in a particular sport or game. Be sure to discuss the importance of mass and velocity in your example.
Answers
Increase in mass and velocity, increases the momentum of a rugby player and a player with more momentum will be difficult to stop and he be of advantage to his team.
Which sports uses momentum?Momentum is important in sport, particularly contact sports where collisions are involved. For example rugby, the more momentum a rugby player has the harder it is to stop him.
Momentum is defined as the product of mass and velocity.
P = mv
where;
m is mass of the playerv is the velocity of the playerP is the momentum of the playerThe massive a player is, the more momentum he will have and also the greater the velocity of the player, the more momentum the player will have.
Thus, increase in mass and velocity, increases the momentum of a rugby player and a player with more momentum will be difficult to stop and he be of advantage to his team.
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~An AC voltage source with What is the rate of peak Output of 262 V, is connected t0 33-02 energy dissipated due to heat in the resistor? resistor. 2080 W 1040 W C. 520 W D. 1471 W 662 W
Answers
The energy dissipated an AC voltage source with peak Output of 262 V due to heat in the resistor is 1471 W.
The rate of peak output voltage from the AC voltage source is 262 V. The energy dissipated due to heat in the resistor can be calculated using the formula P=V²/R, where P is the power (in Watts), V is the voltage (in Volts), and R is the resistance (in Ohms). So, using the values provided, we have:
P = 262²/33.02
P = 1471 W
Therefore, the energy dissipated due to heat in the resistor is 1471 W.
We know that the peak voltage (Vp) of an AC voltage source is given asVp = √2 × VrmsVp = √2 × 262Vp = 371.7V. The voltage across the resistor is given by the peak voltage of the source, which is 371.7V.The resistance of the resistor is 33 ΩWe know that the formula to calculate power (P) is given as P = V² / R Where V is the voltage across the resistor R is the resistance of the resistor. As the power is given, we can find the energy by using the formula:E = P × t Where E is the energy dissipated due to heat in the resistor, P is the power, t is the time.
*Complete question: An AC voltage source with peak Output of 262 V, is connected to a 33-02 resistor. What is the rate of energy dissipated due to heat in the resistor? . 2080 W 1040 W C. 520 W D. 1471 W 662 W
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a car is moving at 4m/s has 500N force driving it forward and air resistance of 500N. Describe the motion of the car
Answers
Answer:
See the explanation below.
Explanation:
We know from Newton's second law that the sum of forces on a body is equal to the product of mass by acceleration. In this way, we have the following equation.
∑F = m*a
where:
∑F = sum of the forces [N] (units of Newtons)
m = mass of the car [kg]
a = acceleration [m/s²]
Therefore we have two forces one that drives the car forward and another that opposes the movement.
\(500-500 = m*a\\m*a=0\\a=0\)
This tells us that the acceleration is zero and therefore the movement is with constant speed. That is, the speed does not vary during the movement of the vehicle.
A bird flies north 3 kilometers and then south 4 kilometers, what is the resultant displacement of the bird? Do not forget to include the direction
Answers
Answer: let north be+ and south be-
therefore, -1 km is the resultant displacement of the bird
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Answer:5 meters northeast
Explanation:
I just took the test.
HELP MEEE
Resonance occurs in the middle ear.
Please select the best answer from the choices provided
T
F
Answers
Answer:
The answer should be True, but it's False on Edge 2021
Explanation:
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what is the 2nd minimum thickness of film required? assume that the wavelength of the light in air is 470 nanometers.
Answers
The second-order minimum thickness of the film required is 1.41 μm.
The minimum thickness required for a thin film to reflect a given color is half the wavelength of the light in the film material. For a second-order minimum thickness, the formula is given by;
t2=2nλwhere t2 represents the second-order minimum thickness of the film, n is the refractive index of the film material, and λ is the wavelength of the light in air.
If the wavelength of the light in air is 470 nm, then the second-order minimum thickness of the film required is given by;t2=2nλ= 2 × 1.5 × 470 nm = 1410 nm = 1.41 μm.
The second-order minimum thickness of the film required is 1.41 μm.
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