Solenoid #1 and solenoid #2 have the same diameter and density of turns, but solenoid #1 is twice as long as solenoid #2. Solenoid #1 has an inductance that is (A) four times greater than that of solenoid #2.
The inductance of a solenoid is directly proportional to the square of its length and to the square of the number of turns per unit length. Since the solenoids have the same diameter and density of turns, the inductance of solenoid #1 will be four times greater than that of solenoid #2 because it is twice as long.
This can be mathematically expressed as L1/L2 = (N1/N2)² x (l1/l2)² = 1² x 2² = 4, where L is the inductance, N is the number of turns per unit length, and l is the length of the solenoid. Thus, the correct answer is that the inductance of solenoid #1 is four times greater than that of solenoid #2.
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Which phrases describe the formation of the Hawaiian Islands? Check all that apply.
formed due to subduction
formed in the middle of a plate
formed at a divergent boundary
formed at a convergent boundary.
formed where mantle erupts through crust
Formed due to subduction, formed at a convergent boundary, and formed where mantle erupts through crust.
What is subduction?Subduction is the geologic process in which one tectonic plate moves beneath another and is forced downwards into the mantle. It is an important part of plate tectonics, as it is responsible for the formation of mountain ranges and volcanism. Subduction occurs at convergent boundaries, where two plates come together, and is usually accompanied by earthquakes, as the plates grind and slide against each other. Subduction zones are the areas where this process is occurring, and they are typically found in the world's oceans, along the margins of the continental plates.
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A metal phere with a ma of 8. 00 kg ocillate at the end of a vertical pring with a pring contant of 2. 40 ✕ 104 N/m. The motion i damped by air reitance, and the damping coefficient i b = 3. 00 N · /m
The frequency of the damped oscillation is 24.6 Hz
The equation for frequency of the damped oscillation is as follows:
f = (1 / (2 × π)) × √((k - (b² / 4 × m)) / m)
where "π" is a mathematical constant approximately equal to 3.1415, "k" is the spring constant, "m" is the mass of the sphere, and "b" is the damping coefficient.
f = (1 / (2 × π)) × √((2.4×10⁴ N/m - (3.00 Ns/m² / 4 × 8.00 kg)) / 8.00 kg)
f = (1 / (2 × π)) × √((2.4×10⁴ N/m - (3.00 Ns/m² / 4 × 8.00 kg)) / 8.00 kg)
f = (1 / (2 × π)) × √((2.4×10⁴ N/m - (3.00 Ns/m² / 4 × 8.00 kg)) / 8.00 kg)
f = (1 / (2 × π)) × √(24000 - (3/32)) N/kg
f = (1 / (2 × π)) × √(23997) N/kg
f = (1 / (2 × π)) × 153.26 N/kg
f = 24.6 Hz
Therefore, the frequency of the damped oscillation is 24.6 Hz
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Your question seems to be missing, but I suppose the question was:
"A metal sphere with a mass of 8. 00 kg oscillate at the end of a vertical spring with a spring constant of 2. 40 ✕ 10^4 N/m. The motion is damped by air resistance, and the damping coefficient is b = 3. 00 Ns/m. Calculate the frequency of the damped oscillation."
Source of error for measuring magnetic fields in a solenoid lab
The source of errors in this experiment could occur from the improper measuring technique. While measuring the magnetic field in the solenoid, the magnetic field sensor might not be held properly perpendicular to the table on which the solenoid was resting.
What are the factors affecting the magnetic field of a solenoid?The factors that can affect the strength of a magnetic field at a point are the magnitude of the electric current and the perpendicular distance between the point and the conductor.
Can solenoids be a source of the magnetic field?The term solenoid refers to a long, thin loop of wire, often wrapped around a metallic core. Solenoids produce a magnetic field when an electric current is passed through them. Solenoids are significant because they can create and regulate magnetic fields and can be used as electromagnets.
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A ball with a mass of 0.5 kilograms is lifted to a height of 2.0 meters and dropped. It bounces back to a height of 1.8 meters.
The energy of the ball has been reduced by
[ Select ]
(...)0.98 (...)8.82 (...)9.8 joules after bouncing back. This reduction happens because potential energy transforms to
[ Select ]
(...)kinetic (...)light (...)thermal energy.
Hint: Use PE = m × g × h where g = 9.8 m/s2.
The energy of the ball has been reduced by 0.98 joules (option A) after bouncing back because potential energy has been transformed into kinetic energy (option A).
What is potential and kinetic energy?Potential energy is the energy possessed by an object because of its position while kinetic energy is the energy possessed by an object because of its motion.
According to this question, a ball with a mass of 0.5 kg is lifted to a height of 2.0 meters and dropped. It bounces back to a height of 1.8 meters. The difference in potential energy can be calculated as follows:
P.E (1) = 0.5 × 2 × 9.8 = 9.8J
P.E (2) = 0.5 × 1.8 × 9.8 = 8.82J
∆P.E= 9.8 - 8.82 = 0.98J
This reduction occured because the potential energy of the ball changes to kinetic energy (in motion).
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The rate at which a certain balloon travels is inversely proportional to the amount of weight attached to it if the balloon travels at 10 in./s and then there is a 2nd g weight attached to it approximately how much weight must be attached to the balloon for it to travel 18 in./s
The rate at which a certain balloon travels is inversely proportional to the amount of weight attached to it if the balloon travels at 10 in./s and then there is a 2nd g weight attached to it approximately the weight must be attached to the balloon for it to travel 18 in./s is 1.1 grams.
When 2 grams are added, the rate moves at 10 in/sec.
Since the weight and the distance traveled are inversely proportional, the expression can be written as
d= k/W
10 =k/2
k= 20
When 2 grams are attached, the rate moves at a speed of 10 in/second.
Given that the relationship between the weight and the traveled distance is inverse, this can be expressed as,
d= k/W
18= k/w
w= k/18
Substitute value of k in the above expression.
W= 20/18
W=1.11 gram
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20m/s at 275 degrees from the x-axis
So, the magnitude of velocity concerning:
x-axis approximately 1.74 m/s to the x-positive, andy-axis approximately -19.92 m/s (19.92 m/s to the y-negative).Introduction and Formula UsedHi! Here I will help you to solve problems related to the velocity vector. In this problem, we know that a particle moves at a certain speed with an angle ([tex] \sf{\theta} [/tex]) on the x-axis. Of course, with conditions like this, velocity can be described on the x or y-axis. The result of the x-axis velocity is horizontal movement. On the other hand, the y-axis velocity is vertical movement. See the equation below to know the magnitude of velocity concerning the x and y-axis.
Velocity respect to the x-axis[tex] \boxed{\sf{\bold{v_x = v_i \cdot \cos(\theta)}}} [/tex]
Velocity respect to the y-axis[tex] \boxed{\sf{\bold{v_y = v_i \cdot \sin(\theta)}}} [/tex]
With the following condition:
[tex] \sf{v_i}[/tex] = the initial velocity[tex] \sf{\theta}[/tex] = elevation angle[tex] \sf{v_x}[/tex] = the velocity respect to the x-axis[tex] \sf{v_y}[/tex] = the velocity respect to the y-axisProblem SolvingWe know that:[tex] \sf{v_i}[/tex] = the initial velocity = 20 m/s[tex] \sf{\theta}[/tex] = elevation angle = 225°What was asked?[tex] \sf{v_x}[/tex] = the velocity respect to the x-axis = ... m/s.[tex] \sf{v_y}[/tex] = the velocity respect to the y-axis = ... m/s.Step by step:Find the magnitude of velocity respect to the x-axis[tex] \sf{v_x = v_i \cdot \cos(\theta)} [/tex]
[tex] \sf{v_x = 20 \cdot \cos(275^{\circ})} [/tex]
[tex] \sf{\bold{v_x \approx 1.74 \: m/s}} [/tex]
Find the magnitude of velocity respect to the y-axis[tex] \sf{v_y = v_i \cdot \sin(\theta)} [/tex]
[tex] \sf{v_y = 20 \cdot \sin(275^{\circ})} [/tex]
[tex] \sf{\bold{v_y \approx -19.92 \: m/s}} [/tex]
ConclusionSo, the magnitude of velocity concerning:
x-axis approximately 1.74 m/s to the x-positive, andy-axis approximately -19.92 m/s (19.92 m/s to the y-negative)help me pls i will be happy if yall help me
Electrons do not follow specific paths, so describing the area where an electron is likely to be is more scientifically accurate and is actually an improvement over earlier models.
The first option is correct.
What is an electron?The electron is described as a subatomic particle with a negative one elementary electric charge.
Modern orbital theory predicts electron in specific orbitals which are three-dimensional in nature.
It is a quantum mechanical phenomenon where we can not apply classical mechanics to determine the exact position of electron.
The square of the amplitude wave function associated with the electron gives the probability of finding the electron in a particular region.
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e. Solve the following problem. Water has a specific heat of
4184 J/kg C. How much energy is needed to increase the
temperature of 3 kg of water 15 C ?
Energy needed to increase the temperature of 3 kg of water 15 C is 188280 J.
What is Energy ?In physics, energy refers to a quantitative property that is transferred to a body and can be perceived in the performance of work. Energy is Conserved - The law of conservation of energy states that energy can be transformed into form, but cannot be created or destroyed. Scientists explain energy as the ability to perform work. Modern civilization is possible because humans have learned to convert energy from one form to another and use it for work. Energy is the ability of the body to do work. I learned about different forms of energy which are Mechanical, Thermal, Chemical, Electrical, Optical, Acoustic, Nuclear, etc. They are interchangeable.However, energy cannot be created or destroyed.To learn more about Energy from the given link :
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A Physical Education (gym) class is playing a game of soccer. During the game, the ball experiences a net force of 0 newtons. Which statement explains what is most likely happening with the ball?
When the ball experiences a net force of 0 newtons, its state of motion remains unchanged, that is, it will remain in rest or will move with same speed in same direction.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
As the ball experiences a net force of 0 newtons, it experiences balanced force and its state of motion remains unchanged.
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Quartz and halite have different crystal shapes primarily because
answer choices
Light reflects from crystal surfaces
Energy is released during crystallization
Of impurities that produce surface variations
The internal arrangement of atom
Quartz and halite have different crystal shapes primarily because of the internal arrangement of atom.
Due to some reasons, quartz and halite have different crystal shapes. Primarily, the reasons are:
Both are formed from molten material.Both are composed of minerals.Both are produced by heat and pressure.The very distinct key characteristics that make us can easily observe and differ between quartz and halite is that quartz crystals always make a pointed pencil shape. It has 6 sides on terminal ends as resembling a prism. Furthermore, halite tastes like salt, because halite is salt. The other characteristics that we could use to differentiate between two of them is that a quartz crystal is hexagonal in cross section, meanwhile a halite crystal is square in cross section.
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A stone is thrown horizontally with an initial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4. 3 s. What is the height of the cliff?.
By using kinematic equation, the height of the cliff would be 90.6 meters.
The kinematics equations are frequently used to analyze the free-falling motion of an object, in this case we are given that:
The time (t) = 4.3 seconds
Acceleration due to gravity (a) = 9.8 meters per second
Since we know that the time it takes for the stone to fall to the ground is 4.3 s, we can use the following formula to determine the height to which the stone will fall as a result of gravity:
x = v₀t + 1/2 at²
where x is the displacement, v is the velocity, t is the time, and a is the acceleration.
x = 0 + 1/2 (-9.8) (4.3)²
x = -90.6
As the result, the height of the cliff would be 90.6 meters.
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If the hot air balloon is 21 feet off the ground, what is the distance between the ground directly underneath the balloon and the second rope rounded to the nearest hundredth of a foot?.
The distance between the ground directly underneath the balloon and the second rope is 36.37 feet.
The complete question is in the attachment. Look at the triangle ACD. For ∠ ACD = θ the trigonometric ratios
sin θ = y/rcos θ = x/rtan θ = y/xcosec θ = r/ysec θ = r/xcot θ = x/yLook at the picture
Point D is the hot air balloon.Point A is the ground directly underneath the balloon.Point B is the first rope.Point C is the second rope.From the ground directly underneath the balloon to the second rope and hot air balloon form triangle ACD.∠ ACD = θ = 30°AD = 21 feettan θ = y/x
tan 30° = AD/AC
tan 30° = 21/AC
AC = 21 ÷ tan 30°
AC = 21 ÷ 0.577
AC = 36.37 feet
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In both cases shown at right, an astronaut is a distance x from a moon. The two cases are identical except that in Case A there is a large planet directly between the astronaut and the moon.
a) Is the gravitational force on the astronaut by the moon greater in Case
A, greater in Case B, or the same in both cases? Explain your reasoning.
b) In which case will the astronaut have greater acceleration? Explain your reasoning.
The only exception is Mars, which is noticeably less brilliant at opposition compared to how apparent the other planets are on Earth.
Can astronauts see Earth?Numerous astronauts and cosmonauts have observed the Overview Effect, saying that when they view the Earth from space, it appears to be "a tiny, fragile ball of life dangling in the emptiness, sheltered and nourished by a paper-thin atmosphere."The first citizen of India to visit space is Rakesh Sharma. India's space mission made it the 14th country in the world to launch a man into space.Moons and planets within the solar system. … Jupiter, Saturn, Uranus, and Neptune, together known as the Jovian planets or big planets, are massive bodies with densities less than 2 grammes per cubic centimetre. Jupiter and Saturn are predominantly made of hydrogen and helium, while the other three are made of ice, rock, hydrogen, and helium (Uranus and Neptune).To learn more about planets refer to:
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Starts at rest at 3m to the right after 10s he is traveling 2m/a to the left where does he end up
He ends up 17 meters to the left of the center position, according to the given question.
In physics, what is position?An object's location at any given time is known as its position (x), and its change in position is known as displacement. Both of these must be determined from the reference frame because they are vector values.
Suppose he is at a position which is 3 m. right from the center position
Given data :
Initial position = 3m to the right
Time = 10 sec.
Speed = 2m/s.
By using the formula -
speed = distance / time
distance = speed × time
distance = 2 × 10
distance = 20 m.
He end up at 17 m. to the left from the center position.
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An object with a weigh of 170 N on Earth i brought to planet Oobla. Where it ha a weight of 360 N. What i the gravitational field trength on Oobla
The gravitational field strength on Oobla is 20.8 N/kg. It is greater than the gravitational field strength on Earth.
What is the gravitational field strength?The gravitational field strength, also called acceleration due to gravity or free-fall acceleration, is the gravitational force that acts on a mass of object. It can be expressed as
g = F/m
Where
g = gravitational field strength (N/kg or m/s²)F = gravitational force or weight (N)m = mass of object (kg)The gravitational force can be stated as weight of object W. The formula becomes W = mg. So, the weight of an object depends on the gravitational field strength on a place.
An object has a weight of 170 N on Earth. The weight becomes 360 N on Oobla. Find the gravitational field strength on Oobla!
We know that the gravitational field strength on Earth is 9.8 N/kg.
Let's say:
W₁ = weight on Earthg₁ = gravitational field strength on EarthW₂ = weight on Ooblag₂ = gravitational field strength on OoblaThe mass of an object is always the same wherever it is.
So, the gravitational field strength on Oobla is
m = W/g
m₁ = m₂
W₁/g₁ = W₂/g₂
170/9.8 = 360/g₂
g₂ = (9.8×360)/170
g₂ = 20.8 N/kg
It is greater than the the value of g on Earth.
Hence, the planet Oobla has the gravitational field strength of 20.8 N/kg.
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The sum of the potential energy and the kinetic energy of an object is its thermal energy.
The sum of the potential energy and the kinetic energy of an object is called as mechanical energy.
An object's mechanical energy can be defined as the result of its motion (i.e., kinetic energy) and/or the result of its stored position energy (i.e., potential energy).
Kinetic energy is defined as the energy gained by a body when it is in motion.Kinetic energy is obtained due to the motion of the object and potential energy is obtained due to the height and elastic potential of the object.Potential energy is defined as the energy gained by a body based on its position, arrangement and state of the object. Potential energy can be further divided into two parts: gravitational potential energy and elastic potential energy.In principle, the total amount of mechanical energy is only referred to as the sum of potential energy and kinetic energy.To know more about mechanical energy,
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a light bulb is 40% efficient. if it is supplied with 1000 joules of electrical energy, how many joules of light does it emit
The amount of energy emitted by the light bulb is 600J.
How to calculate efficiency?Efficiency is the extent to which a resource is used for the intended purpose; the ratio of useful work to energy expended.
According to this question, a light bulb is 40% efficient. If it is supplied with 1000 joules of electrical energy, the amount of energy emitted can be calculated as follows:
40% of 1000J = 400J of energy used.
This means that 1000J - 400J = 600J of energy will be emitted.
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Find the angular acceleration of a spinning amusement-park ride that initially travels at 0.50 rad/s then accelerates
to 0.60 rad/s during a 0.50 s time interval.
The angular acceleration of a spinning amusement park ride is 0.2 rad/s^2.
What does circular motion's angular acceleration mean?The pace at which an object moving in a circle changes angular velocity over time is referred to as angular acceleration. Rotational acceleration is another name for angular acceleration. It has both magnitude and direction, making it a vector quantity.
What are angular acceleration and angular velocity?The rate of change in angular displacement is known as angular velocity, and the rate of change in angular velocity is known as angular acceleration.
What is the name for zero acceleration?Zero magnitude acceleration is still acceleration. Motion with uniform (i.e. zero) acceleration is a specific case of motion with constant velocity.
Given:
Initial acceleration = 0.50 rad/s
Final acceleration = 0.60 rad/s
Time = 0.50 s
Angular Acceleration:
α = Δω/Δt
[tex]\alpha = \frac{0.60-0.50}{0.50}[/tex]
[tex]\alpha =\frac{0.1}{0.50}[/tex]
[tex]\alpha =0.2rad/s^2[/tex]
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Lab-Kinematics in 1 Dimension: Determine Total Distance and Net Displacement from Velocity vs. Time Graphs
On a velocity-time graph, the object's displacement is indicated by the area under the line. The distance is the zone under a speed-time graph.
Displacement on a velocity-time graph: what does it mean?Displacement is the outcome of velocity and time. The area of our graph is obtained by multiplying the velocity and time, which is virtually equivalent to multiplying two lengths. The solution to estimating displacements from a velocity-time graph.
What can we infer from a graph of velocity and time?The amount of acceleration will be determined by the graph's slope. Example If a particle's acceleration is constant (k) and positive, its starting velocity is zero, and it grows linearly from there. The acceleration will be determined by the velocity-time graph's slope.
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1. What is the difference between instantaneous speed and average speed?
2.What is the equation used for calculating average speed when an object is uniformly accelerating?
Formula for finding the depth of sea
with explanation
Answer:
d/2=vt
Explanation:
Since the speed of sound in water is known, the simple equation "d/2 = vt" is used to find the depth "d".
Please show your complete solution of these questions.
(THOSE WHO ANSWERED WITH COMPLETE STEPS WILL BE MARKED AS BRAINLIST)
Answer:
11520
Explanation:
6.4×1800 wich is kw × 30 minutes in seconds
Describe, using Bernoulli's principle,how roofs are
lifted off
buildings in tornados.
Answer:
Bernoulli's principle explains how objects heavier than air are able to fly
Explanation:
Basically, Bernoulli's principle states that faster-moving air has greater air pressure than slower-moving air
When an object has greater air pressure on its top surface than its lower surface it will create lift, or lift the object up
Thus in a tornado, with extremely high winds a roof could be easily lifted up if the air pressure is greater than the force of gravity
A concave mirror has a focal length of 18 cm. This mirror forms an image located 54 cm in front of the mirror. What is the magnification of the mirror? (Include the sign.)
magnification m = -v/u = -2
Concave mirrors can generate both real and virtual images. A virtual, magnified image of the object is produced when the concave mirror is positioned very near to it.
As the distance between the object and the mirror increases, the size of the image decreases and real images are produced. When an object's distance is less than the focal length in a concave mirror, the magnification will be higher than one. When the object's distance exceeds the focal length, the magnification is less than one.
Given focal length f = 18 cm
image distance v = 54 cm
then from lens equation
(1/f) = (1/u)+(1/v)
(1/18) = (1/u)+(1/54)
-(1/u) = (1/54)-(1/18)
object distance u = (18*54)/(18-54) = 27 cm
magnification m = -v/u = (-54)/(27) = -2
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What does MLA 9 in-text citation look like?
MLA 9 in-text citation looks like: (Burke 3); (Best and Marcus 9); (Franck et al. 327).
In MLA 9th edition, in-text citations will be:
If there is only 1 author or no author; we only need the author's last name and the page number. As an example: (Burke 3).If there are 2 authors; we need to connect both authors' last names with and, and include the page number. As an example: (Best and Marcus 9).If there are 3 or More Authors; we have to use the first author's last name and et al., and include the page number. As an example: (Franck et al. 327)Learn more about MLA citation at: https://brainly.com/question/29548082
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Question on spring oscillator.
a) The force constant is 2.49 N/m
b) The amplitude is 1.65 m
What is the force constant?We know that a spring can be said to be the kind of substance that has a potential energy that has been stored in it and this energy is released to do work when the spring has been pulled.
We have that;
T = 2π√m/K
T = period
m = mass
K = spring constant
Then;
0.84 = 2*3.14√0.447/K
0.84/2*3.14 = √0.447/K
(0.84/2*3.14)^2 = 0.447/K
K = 0.447/0.0179
K = 2.49 N/m
Then the amplitude is obtained from;
W = 1/2 KA^2
A =√2W/K
A = √2 * 3.4/2.49
A = 1.65 m
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Which of the following ions will have a charge of negative 1?
The sodium electric charge ion on the right has a total charge of -1 and consists of 17 protons and 18 electrons.
Ion: What Does It Mean?Ions are any atoms or clusters of atoms with an electric charge. Cations are the name for positive-charged ions. Anion is the name for ions that have a negative charge. Several common compounds are present in the body as ions. Examples of typical salts are sodium, potassium, calcium, chloride, and bicarbonate.
What are the uses of ion?Beyond scientific instruments, these charged particles have significant applications in home appliances like smoke detectors and air purifiers. By disrupting and neutralizing the airborne bacteria, ions can clean the air.
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people with poor lifestyle habits or known chronic diseases are strongly advised to have a medical screening before starting an exercise program true or false?
This statement is accurate because it is strongly encouraged that those with unhealthy lifestyle choices or known heritable diseases undergo a medical examination before beginning an exercise regimen.
What is Chronic diseases ?Chd, type two diabetes, and other infectious conditions can all be prevented, delayed, and managed with a nutritious diet. Lean protein, whole grains, a variety of fruits and vegetables, low-fat dairy products, and a diet low in sweeteners, animal fats, and sodium make up a balanced, healthy diet.
Your overall health, physical fitness, and life experience can all benefit from regular physical activity. Your risk of developing chronic illnesses like type two diabetes, heart attacks, numerous cancers, anxiety and depression, and brain is also decreased.
What is the best strategy to manage a chronic illness?How can a chronic condition improve my quality of life.
consuming a balanced diet.
Performing as much exercise as you can.
avoiding harmful coping strategies like drinking and drug abuse.
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SCIENCE MADLIB
Using the graph provided, interpret the data and create your own story of what could have been happening. Make sure to tell whether you are accelerating, stopped, or decelerating at each point. For example, we were accelerating from our starting point A to the next point B.
please hurry
The story that describes the graph is, we were accelerating from our starting point A to the next point B, then from point B started decelerating to our next point C, rested between point C and D, and finally we started our journey again by accelerating to point E.
What is displacement time graph?
A displacement time graph, is a type of graph that is used to describe the motion of an object with respect of how the object is changing its position with time.
The change in position with change in the time of motion of the object gives velocity of the object which is also equal to the slope of the graph.
v = Δx / Δt
where;
Δx is the change in position of the objectΔt is the change in time of motionFrom the given graph we can conclude the following based on the motion;
from point A to B there is accelerationfrom point B to C there is decelerationfrom point C to D there is no acceleration because velocity is zerofrom point D to E there is accelerationLearn more about displacement - time graph here: https://brainly.com/question/19144777
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The air in the balloon had a mass of 0.00320 kg
The temperature of the air in the balloon decreased by 215 °C
The change in thermal energy of the air in the balloon was 860 J
Calculate the specific heat capacity of the air in the balloon.
The specific heat capacity of the air in the balloon is 125.88 J/kg °C.
What is specific heat?Specific heat is the amount of energy required to raise the temperature of a unit mass of a substance by one degree. It is measured in joules per kilogram Kelvin (J/kgK). Specific heat is an important physical property of a substance, as it determines how much energy is required to change its temperature. It is also used to calculate the amount of energy released or absorbed during a chemical reaction. Specific heat is also known as heat capacity, and is often used to compare the heat capacity of different materials.
The specific heat capacity of a substance is the amount of energy required to raise the temperature of 1 kg of the substance by 1 °C.
To calculate the specific heat capacity of the air in the balloon, we can use the equation:
Q = m * c * ΔT
Where Q is the change in thermal energy, m is the mass of the air, c is the specific heat capacity, and ΔT is the change in temperature.
Rearranging the equation, we get:
c = Q / (m * ΔT)
Plugging in the values given, we get:
c = 860 J / (0.00320 kg * 215 °C)
c = 860 J / (0.0068 kg °C)
c = 125.88 J/kg °C
Therefore, the specific heat capacity of the air in the balloon is 125.88 J/kg °C.
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