It is a true statement that the radiative zone of the sun is just outside the core which has temperatures of about 7 million degrees Celsius.
What is the radioactive zone of the sun?We know that the sun is a sort of massive ball of fire in the universe. The sun is always producing heat and the heat that is obtained from the sun is felt al over the earth. Having said that, we now need to examine the way and manner that the sun is able to produce the heat and the light that we receive.
We know that the reaction takes place in the sun is a nuclear reaction and the reaction has to do with the combination of the two nuclei of hydrogen so as to produce a helium ucleus and this is a nuclear fusion which does produce a lot of heat and light. The reaction occur just outside the core of the sun.
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PLEASE HELP!!!!!!!!!!!!!
a. A light wave travels through glass (n=1.5) at an angle of 28°. What angle does it have when
it passes from the glass into water (n = 1.33)?
B. Draw a ray diagram to locate the image of the object below. Write one or two sentences to describe the type of image, it’s size relative to the object, and it’s position with respect to the lens.
C. An object is located 94.0 cm from a concave mirror. The focal length is 34.0 cm. What is the image distance? Is the image real or virtual??
D. An Object is located 65.0 cm from a concave lens. The image distance is -11.8 cm. What is the magnification?
E. For a person who is nearsighted, seeing objects that are far away is difficult. The light from these objects does not get focused far enough back in the eye. Write one or two sentences to identify the type of lens that can be used to correct nearsightedness and describe why it works.
PLEAAAASE HELP MEEE
Answer:
A. The angle with which the light passes from glass into water is approximately 31.97°
B. The image formed is, real, inverted, and smaller than the object
C. The image distance is 53.2\(\overline 6\) cm
The image is real
D. The magnification is approximately 0.182
E. The type of lens required is a concave lens which corrects the focus of a powerful eye lens or a long eyeball
Explanation:
The given parameters for the light wave are;
The refractive index of the glass medium, n₁ = 1.5
The angle of incidence of the light, θ₁ = 28°
The refractive index of water, n₂ = 1.33
A. Let θ₂ represent the angle with which the light passes from glass into water
Snell's law is mathematically stated as follows;
n₁·sin(θ₁) = n₂·sin(θ₂)
According to Snell's law, we have;
1.5 × sin(28°) = 1.33 × sin(θ₂)
sin(θ) = (1.5 × sin(28°))/1.33 = 0.52947920615
∴ θ₂ = arcsin(0.52947920615) ≈ 31.97°
The angle with which the light passes from glass into water, θ₂ ≈ 31.97°
B. Please find attached the drawing of the image created with Microsoft Visio
From the drawing, we have that the image formed is real inverted smaller than the object and between the focus and radius of curvature
C. The location of the object from the mirror, u = 94.0 cm
The focal length of the mirror, f = +34.0 cm
The mirror formula for a concave mirror is given as follows;
\(\dfrac{1}{f} = \dfrac{1}{u} + \dfrac{1}{v}\)
Therefore, we have;
\(\dfrac{1}{34.0} = \dfrac{1}{94.0} + \dfrac{1}{v}\)
\(\dfrac{1}{v} = \dfrac{1}{34.0} - \dfrac{1}{94.0} = \dfrac{15}{799}\)
\(\therefore \dfrac{v}{1} = v =\dfrac{799}{15} = 56.2\overline 6\)
The image distance, v = 799/15 = 53.2\(\overline 6\) cm
Therefore the image is in front of the mirror, which is a real image
The image is real
D. The given parameters of the object and lens are;
The distance of the object from the lens, u = 65.0 cm
The distance of the image formed from the lens, i = -18 cm
The magnification, M, is given as follows;
\(M = \dfrac{-v}{u}\)
Therefore;
\(M = \dfrac{-(-11.8)}{65.0} = \dfrac{59}{325} \approx 0.18153846153\)
The magnification, M ≈ 0.182
E. For a person who is near sighted, the light from objects from distant location are almost parallel and are brought to a focus in front of the retina and therefore, they appear blurred
The use of a concave lens is required to correct nearsightedness as it causes the light to appear come from a point before the focus such that the divergent rays of the object refracted through the concave lens comes to a focus at the.
what type of magnet is used for the coil in a relay?
Electromagnet is the type of magnet which is used in the coil in a relay.
What kind of magnet does a relay use?Two or more electromagnets in the relay are energized by the relay coil. The static iron core is positioned between the electromagnet. The rotational magnetic field is produced by the coil that is wound on the electromagnet.
A relay magnet: what is it?The activating or primary side of a relay is another synonym for the magnetic, coil system, or motor unit. It is made up of every part required to transform the electrical energy from the primary side into the mechanical force needed to open the contacts and switch the secondary circuit.
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Exact Steps on how to Solve with the addition on how to properly input log10.
Answer:
Explanation:
log10 function is required to convert dB into intensity of a sound. Both are measures of loudness of a sound and the relationship can be expressed as follows:
dB = 10 log10(I/Io), where Io is 10^-12 W/m^2
Substituting, 82 = 10 log10(I/10^-12)
I = 0.0001585 W/m^2
or 1.58*10^-4 W/m^2
Answer:
Explanation:
82dB = 10log(Intensity/10^-12)
Intensity = 10^-12*10^(82/10)
=10^(-3.8)
=1.585*10^-4 W/m2
the power in an electrical circuit is given by the equation p=/2 R, where /is the current flowing through the circuit and R is the resistance of the circuit. what is the power in a circuit that has a current of 12
A. 120 watts
B. 8.3 watts
C.144 watts
D. 14,400 watts
Complete Question:
What is the power in a circuit that has a current of 12 amps and a resistance of 100 ohms?
Answer:
D. 14,400 watts
Explanation:
The electrical power of an electric circuit can be defined as a measure of the rate at which energy is either produced or absorbed in the circuit.
Mathematically, electrical power is given by the formula;
\( Electrical \; power = current * voltage \)
This ultimately implies that, the quantity (current times voltage ) is electrical power and it is measured (S.I units) in Watt (W).
Given the following data;
Current = 12 AmperesResistance = 100 OhmsTo find the power in the circuit, we would use the following formula;
Power = I²R
Where;
I is current measured in Amperes.R is resistance measured in Ohms.Power = 12² * 100
Power = 144 * 100
Power = 144,000 Watts
The prefix that multiplies a basic si unit by 0. 01 is.
The prefix that multiplies a basic SI unit by 0.01 is "centi."
The International System of Units (SI) is a modernized version of the metric system.
It is a standardized system of measurement used in almost every country in the world.
SI units are used in scientific and industrial applications because they are globally recognized, easy to work with, and mathematically coherent.
SI units are based on seven basic units that are defined and standardized for universal use.
The seven basic units are:
Mass (kilogram)Length (meter)Time (second)Electric current (ampere)
Temperature (kelvin)Amount of substance (mole)
Luminous intensity (candela)Prefixes for SI units
Prefixes are used to convert a basic unit into a larger or smaller unit. Prefixes are used to denote the powers of 10 that multiply the base unit.
For example, kilo- means 10^3, so one kilometer is equal to 1000 meters, while milli- means 10^-3, so one milliliter is equal to 0.001 liters. The prefix "centi-" denotes a multiplication by 0.01.
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The impulse that the pelton wheel applies to the water is ___ the change in momentum of the water after hitting the flat paddle wheel?
The impulse that the pelton wheel applies to the water is equal to the change in momentum of the water after hitting the flat paddle wheel.
What is the pelton wheel about?Impulse is a measure of the force applied to an object over a period of time, and it is equal to the change in momentum of the object.
In the case of the pelton wheel, the force is applied to the water by the flat paddle wheel, and the change in momentum of the water is the result of that force.
Therefore, The impulse of the pelton wheel is therefore equal to the change in momentum of the water after it hits the paddle wheel.
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Each of the following statements describes an astronomical measurement. Place each measurement into the appropriate bin based on the type of telescope you would use to make it.
I'm sorry, but you have not provided the options for the different bins to sort the astronomical measurements into. Please provide the full question with all the necessary information so I can assist you better.
To categorize each astronomical measurement based on the type of telescope used, it's important to understand the two main types of telescopes: refracting telescopes and reflecting telescopes. Refracting telescopes use lenses to bend light while reflecting telescopes use mirrors to reflect light.
1. Refracting Telescope:
- Measurements requiring high contrast, such as observing planets or the Moon
- Measurements of bright objects, where light-gathering power is less important
2. Reflecting Telescope:
- Measurements that require large light-gathering power, such as observing faint galaxies or nebulae
- Measurements needing high resolution, like imaging fine details on distant celestial objects
Remember to consider the specific requirements of each measurement when determining the appropriate telescope type. Refracting telescopes are often used for planetary observations while reflecting telescopes are more suitable for deep-sky objects.
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derive an expression for resistivity of conductor of length l and area of cross section A
Answer
Resistivity R = K * L / A where resistivity is constant for material, L the length of the material and A the area of the material
K = R * A / L where R is the resistance of the material
Which way do the players on the court rotate during a game? What happens if the players serve out of order?
Answer:
Explanation:
on volleyballit's clockwise and What Would Happen If Someone Served Out Of Order? If the wrong player on your team serves because it's not their turn, the point and the possession of the serve will go to your opponents.
In general, ionic bonds form between a metal and a nonmetal. Covalent bonds usually form between two nonmetals. Which of the following pairs of atoms is most likely to form a covalent bond?
A. magnesium and chlorine
B. copper and bromine
C. nitrogen and oxygen
D. potassium and phosphorus
Answer:
C
Explanation:
Nitrogen and Oxygen donates electron to each other
Nitrogen and oxygen has the greatest chance of forming a covalent bond. Option C is correct.
What is a covalent bond?Covalent bonds are chemical bonds that keep atoms of different elements together while sharing electrons.
Compounds can be polar covalent or nonpolar covalent, depending on the electronegativity variations between components.
The nitrogen family, Group 15, can react with oxygen in a variety of ways. Nonmetallic elements include nitrogen and phosphorus and oxygen.
Ionic bonds often occur between a metal and a nonmetal. Covalent bonds are most commonly formed between two nonmetals.
Nitrogen and oxygen has the greatest chance of forming a covalent bond from given a pair of atoms.
Hence,option C is correct.a given
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Please help me with a speech.The topic of my speech is Passion.
Answer:
Explanation:
Passion
For me, standing on the summit of Mt Everest was the result of following a process. The process of mountaineering. I love mountaineering. I am passionate about it. I love the months of planning for an expedition, the months of sweating and training to prepare my body physically. The meticulous preparation of my equipment. Most of all I love the huge mental challenge I have to overcome before each climb to confront my own fear. All these reasons are why I climb, they are why I climbed Mt Everest and that is why I continue to climb.
Passion is an enormously powerful force. It gives us the strength to get through hard times and setbacks. It gives us strength to overcome our fears, to ignore what other people think of us, to be disciplined and make sacrifices in pursuit of our dreams. Passionate people do not want to take shortcuts – they consider that ‘learning the process’ is an important part of the journey.
In mountaineering it’s easy to spot those who are not passionate about the process. They want to stand on top of the mountain but they are not really interested in the process of climbing the mountain. I feel for these people. Success without hard work is a hollow, empty feeling. They never last long in the sport.
Just as in life, successful mountaineers are the ones who are passionate. They are not there just to stand on the summit. Their passion gives them the energy to work the hardest, fight the longest, and in the words of Winston Churchill “never, never. never give-up”.
Which of the following substances is the closest to a neutral pH? O A. milk
Answer:
The answer is water
Explanation:
it has a netural ph of 7.0
why is the only option milk?
The Ph for milk is about 6.5 to 6.7, it varies becauses milks gets sour when it rots.
Figure 11 shows a ray of red light entering a glass prism. Complete the ray diagram to show the ray emerging from the glass prism. [3 marks]
please attach a photo of what it would look like so i can see clearly
any help asap would be appreciated thank you:)
The ray diagram that shows the emergent ray from the glass prism is shown.
What is the emergent ray?A light ray that has crossed a boundary between two different transparent substances, such as air and water or air and glass, is referred to as a "emergent ray". Light can change direction when it comes into contact with an interface between two media having distinct optical characteristics, such as differing refractive indices. The light ray that continues on its route in the second medium after crossing the interface is known as an emergent ray.
Refraction, a phenomenon, is the cause of the emerging ray's shift in direction. Refraction happens because light moves through different materials at varying speeds, and when it comes into contact with a boundary at an angle, it bends or changes course.
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FAILURE OF THE PRODUCT Instructions 1. Select THREE from everyday below items from the list and discuss the way this item can potentially fail (list minimum THREE failures). Justify your answer by considering Load Strength graph and what can be done to prevent those failures. -Ball Pen -Room Key - Blender
The three product which can be potentially fail considering Load Strength graph and precautionary measure to prevent failure are as below;
Ball Pen:
1. Ink Leakage: One potential failure of a ball pen is ink leakage. This can occur due to poor sealing between the ink reservoir and the ballpoint mechanism. Ink leakage can result in messy hands, stained documents, and reduced functionality of the pen. To prevent this failure, manufacturers can improve the quality control process to ensure proper sealing and use high-quality materials for the pen's components.
2. Ballpoint Jamming: Another failure is ballpoint jamming, where the ball gets stuck and prevents smooth writing. This can be caused by a buildup of dried ink or debris inside the pen's mechanism. To prevent ballpoint jamming, regular cleaning and maintenance of the pen can be recommended. Additionally, manufacturers can design the pen with features that facilitate easy cleaning or provide instructions on how to clear any blockages.
3. Weak Barrel Construction: The barrel of the pen may also be prone to failure if it is weak or brittle. Excessive pressure or rough handling can lead to cracks or breakage, rendering the pen unusable. To prevent this, manufacturers can use durable materials for the pen barrel, such as sturdy plastics or reinforced metal, and perform quality checks to ensure structural integrity.
Room Key:
1. Keycard Malfunction: A potential failure of a room key is a malfunction in its electronic components. This can result in the keycard being unreadable by the door lock system, preventing access to the room. To prevent this failure, regular maintenance and replacement of keycard readers can be implemented. Additionally, guests should be advised to keep their keycards away from magnets and electronic devices that can interfere with the card's functionality.
2. Magnetic Strip Damage: Another failure can occur if the magnetic strip on the keycard gets damaged or demagnetized. This can happen due to exposure to magnetic fields or physical damage. To prevent this failure, keycards can be made more durable with protective coatings or alternative technologies such as RFID. Guests should also be educated on proper handling and storage of keycards to avoid damage.
3. Battery Drain: Some room keys use batteries to power their electronic components. A failure can occur if the battery drains, leading to an inactive keycard. To prevent this, low-power consumption designs can be implemented, and regular battery checks or replacements can be carried out by hotel staff. Guests should be informed about the importance of returning the keycard to the front desk for recycling or proper disposal to ensure the battery is replaced as needed.
Blender:
1. Motor Burnout: One potential failure of a blender is motor burnout due to prolonged use or overloading. Continuous operation at high speeds or attempting to blend hard or frozen ingredients beyond the blender's capacity can cause the motor to overheat and fail. To prevent motor burnout, manufacturers can provide clear guidelines on the maximum load capacity and recommended usage durations. Automatic thermal protection mechanisms can also be incorporated to shut off the blender if it detects excessive heat.
2. Blade Jamming: Another failure can occur if food particles or ingredients get jammed between the blender's blades, preventing them from spinning freely. This can happen if the blender is not properly cleaned or if ingredients are not adequately prepared before blending. To prevent blade jamming, users should be advised to clean the blender thoroughly after each use and ensure that ingredients are cut into manageable sizes. Manufacturers can also design blades with accessible mechanisms for easy cleaning or provide cleaning tools.
3. Leakage: A failure in a blender can also manifest as leakage. This can happen if the blender jar or its sealing components are damaged or improperly assembled. Liquid or food can leak out during blending, resulting in a messy and potentially unsafe situation. To prevent leakage, manufacturers should ensure proper sealing mechanisms and use high-quality materials for the blender jar and lid. Regular inspection of the sealing components can be advised,
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Why is losing an important aspect of sport
Answer:
blc losing is part of life and u learn how do it again with losing and then you get up and comes to be a winner
Explanation:
For tinkercad experts... connect a dc motor that has 25,000 rpm with a potentiometer to a arduino board with a temperature sensor that ranges from -10 to +45 and ir sensor with led to signal motor overspeed (25,000 rpm) and code so all sensors work
1. Connect the DC motor with a potentiometer to the Arduino board, along with a temperature sensor and an IR sensor with an LED.
2. Write the necessary code to integrate all the sensors and control the motor based on the inputs.
To connect a DC motor with a potentiometer to an Arduino board, you will need to use a motor driver module that can handle the power requirements of the motor. The motor driver module allows you to control the speed and direction of the motor using the Arduino. Connect the motor to the appropriate terminals on the motor driver module and the potentiometer to an analog input pin on the Arduino. The potentiometer will act as a voltage divider, allowing you to vary the input voltage to control the motor speed.
Next, connect a temperature sensor that can measure temperatures in the range of -10 to +45 degrees Celsius. Depending on the type of temperature sensor you are using, you may need to follow specific wiring instructions provided by the manufacturer. Connect the temperature sensor to the appropriate digital or analog input pin on the Arduino board.
Lastly, connect an IR sensor with an LED to detect motor overspeed. The IR sensor can be used to measure the rotational speed of the motor by detecting interruptions in the infrared beam caused by the rotating motor shaft. If the motor speed exceeds the threshold of 25,000 rpm, the IR sensor will trigger an output to activate the LED as a signal.
To make all the sensors work together, you will need to write code using the Arduino programming language. Use appropriate libraries and functions to read the sensor values and implement the desired logic for motor control and overspeed detection. You can define temperature thresholds and motor speed limits in the code and take appropriate actions based on the sensor readings.
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Consider symmetrically placed rectangularinsulators with uniformly charged distribu-tions of equal magnitude as shown. What is the direction of the electric field atthe origin?1.Aligned with the negativey-axis2.Aligned with the positivex-axis3.Zero with undefined direction4.Non-zero and not aligned with either thex- or they-axis5.Aligned with the positivey-axis6.Aligned with the negativex-axiscorrect
According to the information given, the electric field has a zero direction and an undefinable axis at the origin (Option 3).
If two charges are aligned symmetrically and have identical sizes, the net electric field at the origin will be 0. The electric field at the origin is undefinable because the information at hand makes it impossible to establish the direction of the electric field. A physical environment called an electric field surrounds electrically charged particles and attracts or repels any other charged particles nearby. It can also refer to the physical field around a system of charged particles. Analytical definitions of the electric field are based on the force per unit charge exerted on a positive test charge that is at rest at a certain location.
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what material can be stored in a container but can also flow from one container to another and it forms powder after some time
Answer:
I think it is gas.
PLEASE MARK ME BRAINLIEST
Prove that the two equations shown below are equivalent.
F = ma and F = p/t
Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.
\(\Delta p = mv - mu \\\\\implies \Delta p = m(v-u) \\\\F = \dfrac{\Delta p}{\Delta t} = \dfrac{m(v-u)}{\Delta t} = ma\)
F = ma is the formula of Newton’s Second Law of Motion.
To prove Newton's second law of motion,
Given Force F = Δp/Δt
What is relation between F = ma and F = Δp/Δt?Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. The second law of Newton can be described as the acceleration of an object which produces a net force is directly proportional to the magnitude of the net force, in the same path i.e., direction as the net force, and inversely proportional to the mass of the object.As the acceleration has its magnitude and direction it is a vector quantity.Proof for F=ma
Let us consider an object of mass m, moving along a straight line with an initial velocity u, final velocity v and it has some particular time t and thus Momentum can be related as,
For initial velocity u, p1 = m × u
The final velocity v, p2 = m × v
The change in momentum can be expressed as
p2 – p1 = (m × v) – (m × u)
p2 – p1 = m (v – u)
Here, we know that the rate of change of momentum with respect to time is proportional to the applied force.
The applied force F,
F ∝ [m (v – u)]/t
F ∝ m × a
As acceleration (a) is the rate of change of velocity with respect to time.
F = k × m × a
F = ma
where k can be the constant.
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a large beaker of water is filled to its rim with water. a block of wood is then carefully lowered into the beaker until the block is floating. in this process, some water is pushed over the edge and collects in a tray. the weight of the water in the tray is a large beaker of water is filled to its rim with water. a block of wood is then carefully lowered into the beaker until the block is floating. in this process, some water is pushed over the edge and collects in a tray. the weight of the water in the tray is less than the weight of the block. greater than the weight of the block. equal to the weight of the block.
The correct answer is Equal to the weight of the block.
We are aware that when an object floats, the water it displaces weighs the same as the weight of the floating body. The upthrust is now equivalent to the body weight in this situation. The beaker is overflowing with water in this instance. The body was then created to float into it. When it reaches equilibrium in water, it expels water that must have been the same weight as it. Over the edge, the liquid spilled, collecting on the tray.
Therefore, the amount of water gathered on the tray must match the weight of the person floating.
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Calculate:
a) Frequency of the wave produced
b) wavelength of the wave produced
c) The amplitude of a wave is now doubled.What is the value in meters, of the new amplitude of the wave
As the frequency decreases, the wavelength gets longer.
What happens if you double the amplitude of a wave?The amplitude of a wave determines its loudness. The loudness increases as the amplitude increases. The amplitude of a sound is exactly proportional to its loudness. When the amplitude is twice, the loudness is multiplied by four. If the wavelength and speed of a wave are known, they may be used to calculate the frequency using the equation f=v f = v, where is the wavelength in meters and v is the speed of the wave in meters per second. This also provides the wave's frequency in Hertz.
The height of a wave is measured from the highest point on the wave (peak or crest) to the lowest point on the wave.
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During a phase change, a substance undergoes a(n) *
HELP
reversible change from one state to another.
irreversible change to a different substance
irreversible change from one state to another.
reversible change to a different substance.
Answer:
Reversible change from one state to another
Hope this helps
:)
what minimum volume must the slab have for a 42.0 kg woman to be able to stand on it without getting her feet wet?
0.525 m³ minimum volume must the slab have for a 42.0 kg woman to be able to stand on it without getting her feet wet.
How do you find the minimum volume?Add the biggest possible inaccuracy to each metric, then multiply to get the biggest volume you can. Subtract the largest potential mistake of each measurement, then multiply, to determine the smallest volume that can be produced.
Briefing:1000 kg/m³ = density of water
920 kg/m³ = density of ice
BF = Woman Weight + Slab Weight
Pvg = 42 + Pvg
V = 42 kg / (1000 - 920)
V = 42 / 80
V = 0.525 m³
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(ii) Let R be a rotation and S be a reflection of the euclidean plane E. Give a precise deion of RS, relating it to the classification of isometries of E². Be careful of special cases.
RS is a composition of rotation and reflection in the Euclidean plane E². The precise description of RS depends on the specific properties of the rotation R and reflection S.
In general, if R and S have the same axis or line of symmetry, the composition RS results in a translation. If R and S have intersecting lines of symmetry, RS yields a glide reflection. If R and S have perpendicular lines of symmetry, RS produces a rotation.
It is important to consider special cases, such as parallel lines of symmetry, coinciding axes, or perpendicular lines of reflection, as they may lead to different outcomes. The classification of isometries in E² involves understanding how rotations and reflections combine to create different transformations in the plane.
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Turn your head _______ and right and glance over your shoulder to view what cannot be seen in the side-view mirrors.
The term that fills the blank in the statement "Turn your head left and right and glance over your shoulder to view what cannot be seen in the side-view mirrors" is "left and right"
The statement "Turn your head left and right and glance over your shoulder to view what cannot be seen in the side-view mirrors" is a complete sentence that is easy to comprehend. It is usually suggested to follow the rules of safe driving and never rely solely on the car's side-view mirrors.
Drivers should always be cautious when they change lanes or merge into traffic because there might be blind spots that aren't apparent to the driver in the car's side-view mirrors.To verify whether there are any vehicles approaching, drivers must glance left and right while looking over their shoulders. It is a smart way to ensure that you are secure while driving on the road.
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Give a short introduction to alternative energy
Answer:
Alternative energy is energy sources other than fossil fuels, including renewable sources and nuclear energy. However, nuclear energy is not classified as a renewable energy source, because it is mined from uranium and thorium elements, which cannot be replenished. Hoped this helped!!!
will mark brainliest btw i need a step by step answer im just stuck on this for a while:(
thank you<3
When two people each exert a force of 300N, pulling a car by a separate ropes in the east direction. the first person pulls at an angle of 20° N of E and the second person pulls at an angle of 20° S of E. then the work done on the car by each worker is 1578 J if the the car moves 0.5 m/s for 5.6s.
Given,
x component of Force F₁ = Fcos20° = 300cos20° = 281.9 N
y component of Force F₂ = Fcos20° = 300cos20° = 281.9 N
The actual force acting on the car is,
F₁(x) + F₂(x) = 281.9 N + 281.9 N = 563.8 N.
The distance travelled by the car,
d = v×t = = 0.5 × 5.6 = 2.8 m
The work W is force times distance
W = F.s = 563.8 N.× 2.8 m = 1578 J
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find the slope of the graph of the equation at the given point. (if an answer is undefined, enter undefined.) xy − 9y2 = 4, (20, 2)
The slope of the graph of the equation at the point (20, 2) is 1/8.
To find the slope of the graph of the equation at the given point (20, 2), we need to find the derivative of the equation with respect to x and evaluate it at x = 20. Let's differentiate the equation implicitly:
xy - 9y^2 = 4
To differentiate implicitly, we treat y as a function of x and apply the chain rule. Differentiating both sides of the equation with respect to x:
1 * y + x * dy/dx - 9 * 2y * dy/dx = 0
Simplifying this equation:
y + x * dy/dx - 18y * dy/dx = 0
Grouping the terms with dy/dx:
dy/dx * (x - 18y) = -y
Now, let's solve for dy/dx by dividing both sides by (x - 18y):
dy/dx = -y / (x - 18y)
Substituting the given point (20, 2) into the equation:
dy/dx = -2 / (20 - 18(2))
= -2 / (20 - 36)
= -2 / (-16)
= 1/8
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What is the mass of a blow dart that experiences a blowing force of 0.20 Newtons and travels the length of the 1.2 meter barrel in 0.04 seconds? (HINT: first find the acceleration)
The mass of a blow dart that experiences a blowing force of 0.20 Newtons and travels the length of the 1.2 meter barrel in 0.04 seconds is 0.26 g
a = v / t
v = d / t
a = Acceleration
v = Velocity
d = Distance
t = Time
d = 1.2 m
t = 0.04 s
v = 1.2 / 0.04
v = 30 m / s
a = 30 / 0.04
a = 750 m / s²
According to Newton's second law of motion,
F = m a
F = Force
m = Mass
F = 0.2 N
m = F / a
m = 0.2 / 750
m = 2.6 * \(10^{-4}\) kg
m = 0.26 g
Therefore, the mass of a blow dart is 0.26 g
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An 80kg dog initially running at a velocity 2 m/s accelerates to a velocity of 3 m/s. What is the impulse on the dog
Impulse is equal to the change in momentum of an object. The momentum of an object is equal to its mass times its velocity.
The initial momentum of the dog is 80kg * 2m/s = 160kg*m/s.
The final momentum of the dog is 80kg * 3m/s = 240kg*m/s.
The change in momentum of the dog is 240kgm/s - 160kgm/s = 80kg*m/s.
Therefore, the impulse on the dog is 80kg*m/s.