The Answer is "It is Larger". This is how the habitable zone around a star of spectral type G compare to that around a star of spectral type M is.
What is an M spectral star?
An M-type star is within the M-class, a spectral class indicating stars with very weak hydrogen absorption lines and with molecular lines, a surface temperature in the 2400-3700 K range and a red color. M spectral stars are coolest and most common stars in the Universe. The spectral energy distribution peaks in the near infrared.
I suppose the question is :
How does the habitable zone around a star of spectral type G compare to that around a star of spectral type M?
1. It is larger.
2. It is hotter.
3. It is closer to its star.
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a ball is launched with an initial velocity of 10 m/s at an angle of 45 degrees follows a parabolic path and hits a balloon at the top (peak) of its trajectory (path). neglecting air resistance, how fast is it going when it hits the balloon? (both horizontally and vertically)
The speed of the ball that is launched into a parabolic path after it hits the balloon is 7.07 m/s.
Given that,
Initial speed of the ball = 10 m/s
Angle at which the ball is launched = 45°
The path of the ball which hits the balloon at the top of its flight follows a parabolic trajectory
The horizontal component of the velocity is vₓ = v* cos(θ)
The vertical component of the velocity is vy = v* sin(θ)
vₓ = 10 × cos(45°) = 7.07 m/s
vy = v* sin(45°) = 7.07 m/s
Thus, the horizontal and vertical speed with which the ball hits the balloon is vₓ = vy = 7.07 m/s.
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Substances, or matter, can exist in three different states at room temperature: solid, liquid, and gas. Compare a solid object, a liquid such as water, and air. Open the Notebook tool (), and answer these questions about solids, liquids, and gases:
How do they differ in feel?
How do they differ in how easily they change their shape?
How do they differ in how easily they change their volume?
Oxygen and carbon dioxide are examples of substances that exist as gases at room temperature, while water and mercury metal are examples of substances that exist as liquids. At room temperature, the majority of metals are solids. These three states are all possible for substances.
i) Solids are typically more dense than liquids, which are more dense than gases. There is not much room between the particles in the solid, which are touching. Although there are occasionally gaps between the particles in a liquid, they typically still touch. Large gaps exist between the gas particle.
ii) Because of the variations in their molecules, matter can exist in various states. Solids, for example, are predetermined in terms of size and shape. Contrarily, liquids can be molded to fit the shape of the container they are in because they are flexible. Last but not least, gases diffuse to completely fill the space.
iii) Solids are discrete in their shape and volume. Although they take on the shape of the container, liquids have a specific volume. The shape and volume of gases are ambiguous.
In what ways do they differ in solids, liquids, and gases?Depending on the shape of their container, a liquid and a gas will adapt their shape. In order to fit inside the container, a gas will change volume. In general, gases are less dense than liquids, which are less dense than solids. There is barely any distance between the particles in the solid from one another.
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1-if iron nails are inserted into a solenoid carrying a current, does the magnetic strength of the solenoid increase or decrease?
2- if a piece of soft iron bar is inserted into a solenoid carrying a current, does the magnetic strength of the solenoid increase or decrease?
The magnetic field inside the solenoid is increased.
What is magnetic field?Magnetic Field is the region around a magnetic material of or a moving electric charge to the within which the force of a magnetism acts. A pictorial to representation of to be the relative magnetic field of which describes how to a magnetic force is the distributed within and around a magnetic material.
The magnetic field around the the current carrying of to a solenoid is similar to their magnetic field produced by the bar magnet.
When a soft iron bar is the introduced inside a current of the carrying solenoid, the magnetic field inside thd left solenoid will increase.
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During photosynthesis, _____________ gas enters the leaves and _______ gas is given off. Responses hydrogen, carbon dioxide hydrogen, carbon dioxide, carbon dioxide, oxygen carbon dioxide, oxygen, oxygen, carbon dioxide oxygen, carbon dioxide, nitrogen, argon
Carbon dioxide enters this same leaves during photosynthesis, while oxygen gas is released.
Explain what photosynthesis is.The method whereby a plants use carbon dioxide, water, and sunshine into oxygen and sugar-based energy is known as photosynthesis. The four stages of photosynthesis include light absorption, redox reactions, ATP production, and carbon fixation.
What makes photosynthesis so crucial?While photosynthesis is the method used by plants to convert back into carbon dioxide with the aid of sunlight, it is significant. Both oxygenic and anoxygenic sunlight are possible. Plants that produce oxygen (O2) & glucose during procedure of photosynthesis, which involves breaking apart the reaction mixture of co2 and water and recombining them (C6H12O6).
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. a makeup mirror has radius of curvature 54 cm. how far is the upright image from your face if it is 6 times larger?
It is 22.5 cm far the upright image from your face if it is 6 times larger, when radius of curvature is given.
What is a concave mirror?Concave mirror has a reflective surface that is curved inward and is away from the light source and it reflects light inward to one focal point.
Given radius of curvature=54 cm
Focal length= r/2
= 54/2
=27 cm
v is the distance to the virtual image and u is the distance of the object in front of the mirror.
Given v = -6u
As we know that ; 1/f = 1/u +1/v
So now, 1/f = 1/u - 1/6u
= 5/6 u
∴ u = 5f/6= (5* 27)/6
u = 22.5 cm
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You lift a relatively light bowling ball with your hand, accelerating it upward. What are the forces on the ball? what forces does the ball exert? what objects are these forces exerted on?
The forces on the ball are the force of your hand and the gravitational force of Earth's mass. The ball exerts a force on your hand and a gravitational force on Earth. All these forces are exerted on your hand, on the ball, or on Earth.
What is acceleration?
Compared to displacement and velocity, acceleration is like a raging fire-breathing dragon of motion variables. it can be violent. Some people fear it. And when it's big, you have to be careful. Taking off an airplane, braking a car, cornering a go-kart at high speed are all sensations of acceleration.
Acceleration is the name we give to any process that changes velocity. Velocity is speed and direction, so there are only two ways to accelerate. Either change speed, change direction, or change both.
No matter how fast you run, you can't accelerate unless you change speed and direction. So a jet traveling along a straight line at a constant speed of 800 miles per hour will not accelerate even though it is traveling very fast because its speed does not change. When the jet lands and comes to a sudden stop, it accelerates while decelerating.
Therefore, The forces on the ball are the force of your hand and the gravitational force of Earth's mass. The ball exerts a force on your hand and a gravitational force on Earth. All these forces are exerted on your hand, on the ball, or on Earth.
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Select the correct vectors. a ship moves through the water at 30 miles/hour at an angle of 30° south of east. the water is moving 5 miles/hour at an angle of 20° east of north. identify the ship's vector, the water current's vector, and the vector representing the ship's actual motion.
A ship travels across the water at a speed of 30 mph while angled 30 degrees south of east. The water is travelling 20 degrees east of north at a speed of 5 miles per hour. Vector for the ship is 25.98i - 15j mi/h.
What is the direction of the water current?The water is also travelling at a speed of 5 miles per hour at an angle of 20° south of east, which suggests that it is moving in the first quadrant at an angle of 90° - 20° = 70° east of north. So, the water's velocity has an x-component of v3 = 5cos70° = 1.71 mi/h and a y-component of v4 = 5sin70° = 4.7 mi/h.
What does the ship's actual motion's vector look like?V = velocity vector of ship as it goes through water + velocity vector of water current is the velocity vector that accurately depicts the ship's real motion.
Briefing:V = v + v'
= 25.98i - 15j mi/h + 1.71i + 4.7j mi/h
= (25.98i + 1.71i + 4.7j - 15j )mi/h
= 27.68i -10.3j mi/h
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Study the image.
The wind belts. The Earth is shown with points 1 through 4. 1: Winds in middle latitudes that originate from high pressure. 2: Near the equator, air circulates in an upward direction. 3: Subtropical regions with calm winds. 4: winds near poles that blow toward the low pressure areas of the westerlies.
Which point shows the prevailing westerlies?
1
2
3
4
The point that shows the prevailing westerlies is the wind belt labelled with 1.
What is prevailing westerlies?Prevailing westerlies is the average or normal westerly winds of the middle latitudes.
From the given image of wind belts, 1 represents winds in middle latitudes that originate from high pressure.
Thus, the point that shows the prevailing westerlies is the wind belt labelled with
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Answer: A
Explanation:
Make a timeline that lists significant discoveries in physics and the laws of nature, including experimental discoveries, theoretical proposals that were confirmed experimentally, and theories that have significantly influenced current thinking in modern physics from 1500 to 2000.
Your timeline has to include the physicists, their pictures and main laws and discoveries .
(HELP ME I'LL BRAIN E-LIST I SWEAR)
This timeline lists significant discoveries in physics and the laws of nature, including experimental discoveries, theoretical proposals that were confirmed experimentally, and theories that have significantly influenced current thinking in modern physics from 1500 to 2000.
Pre-scientific16th century17th century18th century19th century20th century21st centuryWhat is definition of timeline?
A timeline is a display of a list of chronicle in chronological order. It is usually a graphic design showing a long bar tagged with dates paralleling it, and usually present day chronicle.
Timelines can use any appropriate scale representing time, suiting the subject and statements; many use a linear dimension, in which a unit of distance is equal to a set quantity of time. This timescale is incumbent on the chronicle in the timeline.
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An echo is an example of the type of wave interaction called.what?
Answer:
wave reflection
Explanation:
An echo is an example of wave reflection. Reflection occurs when waves bounce back from a barrier they cannot pass through. Reflection can happen with any type of waves, not just sound waves.
the half-life of iodine-123 is 13.3 hours. how much of a 25.0 mg sample will remain after 39.9 hours?
3.12 mg of sample will remain after 39.9 hours if the half life of iodine is 13.3 hours.
What does half-life mean?Half life of the process is the time necessary for the reaction rate to fall to one-half its original amount. A statistic that is connected to the reaction's rate constant is the split of a first-order order reaction.
Briefing:
Given, Half life of iodine is 13.3 hours. so,
Half life t1/2 = ln 2/ K
k = 0.693 / t1/2
= 0.693 /13.3 hours
= 5.21 *10-2
The flow time is based on rate law which would be different for each emotions. A first-order interaction is one in which only one reactant's concentration affects the rate of the reaction. As a result, it is sometimes referred to as a unimolecular reaction. For this kind of reaction, the rate equation is: The first order reaction's rate constant is,
k= 1/t ln [A]0 / [A]t
t = 39.9 hours
k = 5.21 * 10-2 / hour
putting all the values in the expression of rate constant for first order reaction we get,
[A]t = 3.12mg
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What is NOT TRUE about all forces?
A. They can be unbalanced
B. They ALWAYS cancel each-other
out
C. They can cause objects to move
D. They involve more than one object
Not all forces can be out of balance, though.
Option a is correct.
What are the required 2 components for a vector quantity?The size and direction of a vector quantity are its two distinguishing features. The magnitude and direction of two vector values of the same kind must be compared when comparing them.
What three non-contact forces are examples?The charging of the hair and the paper's attraction to it. Another illustration of a non-contact force is the proximity of two magnets. Gravity is what causes a ball to fall freely toward the earth. Non-contact forces include things like leaves falling from a tree.
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An observer moves to the left with some velocity, v, at the same time a sound wave source moves to the left with twice the velocity of the observer. How will the frequency of the source be shifted as it passes the observer
The observed frequency will be greater than the source’s frequency
The observed frequency will be less than the source’s frequency
The observed frequency will be the same as the source’s frequency
The source never passes the observer
The observed frequency will be greater than the source’s frequency (option - B) is correct answer.
What happens if both the observer and the sound source move?If the source and observer are moving simultaneously in either case—moving observer or moving source—you'll notice that the frequency increases. The frequency decreases if they are drifting apart. Whether the source is moving or the observer is moving will affect how much the frequency changes.
Although the waves move at the same speed, the frequency that is observed is affected by any relative movement between the source and the observer. The wavelength changes along with the observed frequency. When an observer and a source are moving in the same direction, the frequency rises and the wavelength falls.
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oe balances a stationary coin on the tip of his finger 2 m from the top of the floor. how much work is joe doing?
The work done by Joe is 0J in balancing a stationary coin 2 m from the top of the floor.
The work is done when an object is raised to a height against gravity. Work done depends on force and displacement caused by that force.
W = F. S
Where,
W = work done
F = Force and,
S = displacement caused in an object in the direction of the force.
Since the object has not been raised against gravity, there is no force against which work has been done.
F = 0 N, S = 2 m
W = 0× 2 J
= 0 J
The work done is 0J
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which type of lens (converging or diverging) will be able to focus an image on a screen? explain your answer.
On the same side as the object, a diverging lens constantly creates a virtual, erect, decreased, and in-between focus and lens.
What does the lens do?A lens is a sheet of transparent material that is typically round in form with two clean lines that are either concave (bulging) or concave on one or both sides (depressed). In other words, the radii is constant since the curves are virtually always spherical.
Briefing:A convergent lens is also known as a convex lens. An accurate, reversed image is produced by a convex lens. When the material is located between the focusing F1 and also the ocular center O, an upright, virtual image is created.
Concave lenses are sometimes known as diverging lenses. A virtual, upright image is always produced by a concave lens.
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If the orbit of a rocket is a circle around the earth with a radius
= 8 x 105
m, and the mass of the earth is 5.97 x 1024 kg while
that of the rocket is 0.5 x 10% kg, then what is the speed of the
rocket under uniform circular motion (in m/S, G = 6.67 x 107 N
(m/kg) ?)
Speed of the rocket under uniform circular motion is 4.97 * 10^13 m/s.
We know that the orbital speed of a satellite is given by:
[tex]v_{0} = \sqrt{GM/r}[/tex]
Where, G = gravitational constant = 6.67 * 10^7 N
M = mass of earth = 5.97 * 10^24 Kg
r = distance of satellite from earth = 8 * 10^5 m
Putting these given values in above equation, we get
[tex]v_{0} = 4.97 * 10^{13} m/s[/tex]
The orbital speed does not depend upon the mass of object.
So the speed of the rocket under uniform circular motion around earth is
4.97 * 10^13 m/s.
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A student determines the centre of mass of a piece of card. Fig. 3.1 shows the equipment the student uses.
Describe how the student determines the centre of mass of the card using the equipment in Fig. 3.1.
Based on the fact that the center of mass and the center of gravity in the parallel gravity field close to the earth's surface are the same. The experimental measurement of a body's center of mass makes use of gravity forces on the body.
What determine the center of mass of a piece of card?The center of mass is a point determined with respect to an object or group of objects. It shows the system's average location, weighted by the mass of each component.
The center of mass will always rest immediately underneath a shape if it is suspended from a single point.
Therefore, the center of mass is where two lines that are drawn down downward from two different places on a shape (one at a time) intersect.
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A cup of coffee is on a table in an airplane flying at a constant altitude and a constant velocity. The coefficient of static friction between the cup and the table is 0. 30. Suddenly, the plane accelerates forward, its altitude remaining constant. What is the maximum acceleration that the plane can have without the cup sliding backward on the table?.
Therefore, the maximum acceleration the plane can experience without the cup sliding off the table backwards is 0.30g.
What is the static friction?A force that holds an object at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across. When there is no relative motion between the object and the surface, static friction is a form of friction force that acts on the body. So, even when the body is moving, it can still act, but there shouldn't be any relative motion.
What is an example of a static friction?Consider moving a large, hefty box across the floor. You exert increasing pressure until the box begins to slide. The box is maintained in place by the static friction force. The static friction force pushes back slightly when you push it.
Briefing:The cup is not moving, therefore The cup has no net force. So, in the x direction, you have the following.
0 = ma - fs
Where an is the plane's acceleration less the static fiction force, and m is the mass of the cup. The static fiction force is zero because there isn't an inclination.
Fs = mus × m × g
Because mus is the coefficient of static friction (provided as 0.30), m is the mass of the cup, and g is gravity at the plane's altitude, rearranging the two equations and finding a should result in the desired result.
a = 0.30g
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as the glacier melts, water travels toward the ocean along the geological feature labeled x. when water erodes soil along this feature, the feature will most likely become —
As the glacier melts, water travels toward the ocean along the geological feature labeled x. when water erodes soil along this feature, the feature will most likely become wider.
What transpires as soil erodes?Reduced soil fertility due to erosion can have a detrimental impact on agricultural output. Additionally, it pushes soil-saturated water downstream, which may result in thick layers of sediment that obstruct rivers and streams from flowing freely and finally cause flooding. The likelihood of soil erosion reoccurring increases after it occurs.
How can water destroy soil?When rain or snowmelt shifts the soil on the ground, water erosion occurs. More soil is moved or transported away when there is more water running across the ground. Water erosion is particularly dangerous on bare land, including farm areas that have been cleared of crops after harvest.
What consequences does water erosion have?For instance, water erosion leads to soil structure loss, surface crusting, waterlogging, a decrease in organic content, and the dissolution of stable aggregates. Soil resources quickly degrade in the face of such a barrage. Farming gets increasingly expensive and complex.
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A crate is pulled by a force (parallel to the incline) up a rough incline. The crate has an
initial speed shown in the figure below. The crate is pulled a distance of 9.01 m on the
incline by a 150 N force. The acceleration of gravity is 9.8 m/s^2 a) What is the change in kinetic energy of the crate? Answer in units of J..
The change in kinetic energy of the box be 33.47 Joule.
What is friction?The resistance provided by surfaces in touch as they move past one another is known as friction.
To walk without slipping, traction is provided by friction. In most situations, friction is advantageous. They do, however, give a strong amount of opposition to the move. Additionally, around 20% of an automobile's engine power is used to overcome frictional forces in the moving parts.
Net force acting on the box = 150 N - (mgcos32° + μmgsin32°) N = 35.90 N.
Work done by this force = fs = 35.90 × 9.01 = 323.47 Joule.
Hence, the change in kinetic energy = 33.47 Joule.
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Pt 1
A neutron in a reactor makes an elastic head on collision with the nucleus of an atom initially at rest assume the mass of the atomic nucleus is about 12.5 the mass of the neutron. What fraction of the neutrons kinetic energy is transferred to the atomic nucleus
Pt2
If the initial kinetic energy of the neutron is 4.31x10^ -13 J find it's final kinetic energy answer in units of J
Conservation of momentum states that the momentum remains constant within the problem region. Momentum is neither created nor destroyed, it is changed only by the action of force in the sense of Newton's laws of motion.
For head on elastic collision both momentum and energy are conserved.
Initial Momentum = Final Momentum
v = mv₁ + 12.5mv₂
m = mass of neutron
v = final velocity of neutron after collision
v₁ = initial velocity of neutron
v₂ = velocity of atom
v = v₁ + 12.5v₂
Energy before = energy after
½ m v² = ½ m v₁² + ½ (12.5m) v₂²
v² = v₁² + 12.5 v₂²
We want to find the fraction of the neutron's kinetic energy is transferred to the atomic nucleus.
KE/KE = (½ (12.5m) v₂²) / (½ m v²)
KE/KE = 12.5 v₂² / v²
KE/KE = 12.5 (v₂ / v)²
We need to find the ratio v₂ / v.
Solve for v₁ in the momentum equation and substitute into the energy equation.
v₁ = v − 12.5 v₂
v² = (v − 12.5 v₂)² + 12.5 v₂²
v² = v² − 25 v v₂ + 156.25 v₂² + 12.5 v₂²
0 = -25 v v₂ + 168.75 v₂²
0 = -25 v + 168.75 v₂
25 v = 168.75 v₂
v₂ / v = 25 / 168.75
v₂ / v = 0.148
Hence, the fraction of the kinetic energy transferred is:
KE/KE = 14.1 (0.148)²
KE/KE = 0.296
Part 2/2
If a fraction of 0.296 of the initial kinetic energy is transferred to the atomic nucleus, the remaining 0.704 fraction must be in the neutron.
Therefore, the final kinetic energy is:
KE = 0.704 (4.31 ×10⁻¹³ J)
KE = 3.034 × 10⁻¹³ J
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The period, T of a simple pendulum depends on the length of the pendulum,the mass of the pendulum and the acceleration due to gravity. Determine the actual equation.
The period of a simple pendulum is T = 2π√l/g and T = 2π√m/k
What is the period of a simple pendulum?The time period of a simple pendulum is equal to the time it takes to complete one Oscillation. The period of a simple pendulum depends on the length of the string, and acceleration due to gravity. In simple pendulum , the mass of the pendulum does not after the period.
But in spiral spring, the period depend on the elastic constant 'k' and mass of the load.
Therefore the period of a simple pendulum is can be given in two forms:
T = 2π√l/g and
T = 2π√m/k
where m is the mass of the load
l is the length of the spring and g is the acceleration due to gravity.
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how much heat is required to completely melt a 4.6-kg block of ice having a temperature of 252.2 k? cice
The heat required to completely melt the block of ice is 15.18 * [tex]10^{5}[/tex] J
What is the heat required for melting?The mass of ice = m = 4.6 kg
The Latent heat = [tex]L_{f}[/tex] = 3.3 *[tex]10^{5}[/tex] J/kg
Heat required to melt the ice =Q
[tex]Q = mL_{f}\\ Q = 4.6 * 3.3 * 10^{5} \\ Q =15.18 * 10^{5}J[/tex]
What is Latent heat?Latent heat is energy that a body or thermodynamic system releases or absorbs during a constant-temperature process, typically a first-order phase transition. Latent energy and heat of transformation are other names for it.Latent heat can be thought of as energy that is provided or removed in a concealed form in order to alter a substance's state without altering its temperature. Latent heat of fusion and latent heat of vaporization, which are involved in phase shifts when a substance condenses or vaporizes at a particular temperature and pressure, are two examples. In contrast to latent heat, sensible heat is energy that is conveyed as heat and causes a change in a body's temperature.To learn more about Latent heat, refer:
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A kid rides a scooter down the sidewalk with an constant speed of 3.0 m/s for 7.0 seconds, then uniformly increases speed to 9.0 m/s in 5.0 seconds. What is the kid's total displacement? (How far along the sidewalk did the kid travel?)
The kid's total displacement is 66m.
What is distance?The formula for calculating distance, d = st, or "distance equals speed times time," can be used. Because they both refer to the amount of movement per unit of time, such as miles per hour or kilometers per hour, speed and rate are comparable. The equation r = s = d/t holds if speed s = rate r.
In first case
Distance = speed × time
Distance = 3×7
Distance = 21m
In second case
Distance = speed × time
Distance = 9×5
Distance = 45m
Total displacement = 21+45
Total displacement = 66m.
So, the kid's total displacement is 66m.
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What is the pressure exerted on the ground by a 5-kg box that has a width of 5 m and a length of 10 m?
The speed of sound wave in a medium is 1481m/s. If the wavelength of the sound is 23 m, calculate the frequency of the sound wave.
Answer: For a sound wave with a speed 1481 m/s and wavelength of 23 m, the frequency is 64.391 Hz
Explanation:
We know that v = λ x f
where v ⇒ velocity of the wave
λ ⇒ wavelength
f ⇒ frequency
Here, λ = 23 m and v = 1481 m/s
Hence,
f = v / λ
f = (1481 / 23) Hz
f = 64.391 Hz
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when the temperature of a 3.0-l sample of a gas is dropped from 200°c to 100°c, what will be the final volume of the gas sample?
The gas has a final volume of 2.4L.
What is the text of Lussac's law?According to Gay Lussac's Law, a gas's pressure is precisely proportional to its Kelvin temperature when maintained at a low volume. The molecule of a gas receive more energy when heated, causing them to move more quickly. This results in increased pressure and more blows on the container's walls.
Briefing:
Given, Initial Volume of the sample = 3L
Initial temperature of the sample, T₁ = 200° C
= 200 + 273
= 473 K
Final temperature of the sample, T₂ = 100° C
= 100 + 273
= 373 K
By Gay-Lussac's Law is a variant of the general gas equation,
From the above relation,
[tex]\frac{V_{1} }{T_{1} } = \frac{V_{2} }{T_{2} }[/tex]
[tex]V_{2} = \frac{V_{1}*T_{2} }{T_{1} }[/tex]
Substituting values,
[tex]V_{2}[/tex]= (3x 373) / 473
= 1119/473
= 2.4L
Hence ,it is found that the final volume of the gas is 2.4L
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how big aforce wiil achare of+2c expreiance if placed bin anelectric field of strenght18n/c?
The magnitude of force experienced by the charge is 36 N.
What is electric field?The force per unit charge exerted on a positive test charge that is at rest at a given position is the force per unit charge that is used to define the electric field analytically.
Electric charge or magnetic fields with variable amplitudes can produce an electric field. The attraction forces that keep together atomic nuclei and electrons at the atomic scale are brought on by the electric field.
Given that:
Amount of charge: q = + 2 C
Magnitude of electric field strength: E = 18 N/C.
So, Magnitude of force applied on the charge: F = qE = +2 ×18 N = 36 N.
So, The magnitude of force experienced by the charge is 36 N.
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nuclear decay occurs according to first-order kinetics. scandium-43 decays with a rate constant of 0.178 days–1. after 15.0 days, a sample has a mass of 1.73 g. what was the original mass of the sample?
According to the given statement 25 grams was the original mass of the sample.
What is mass in physics with example?The mass of matter that makes up every object or body is the greatest way to understand mass. Everything that we can see has mass. Examples of objects with mass include a table, a chair, an bed, a baseball, or glass, and even air. The mass of a thing determines whether it is light or heavy.
Briefing:The first order kinetics rate rule has the following expression:
Where k = rate constant = 0.178 days, t = 2.303/k * log(a/(a - x))
15 days have passed since the sample began, so t 1
a = the reactant's original or initial amount; a - x = the amount left over after the decay process; 1.73g
After plugging in all the values, we get 15=(2.303/0.178) A/1.73 = 10 * log (a/1.73) log (a/1.73) = 15 * 0.178/2.303 ( 15*0.178/2.303)
a = 1.73 * 10^( 2670/2303)\sa
= 1.73 * 10^(1.15935736)\sa
= 1.73 * 14.433024871\sa
= 24.9691330268
Consequently, a weighs about 25 grams.
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if a car engine has a thermal efficiency of 50% and it does 500 j of work in one cycle, how much energy input does it require each cycle?
A automobile engine that performs 500 j of effort in one cycle and has a thermal performance of 50% needs 1000 j of energy for input each cycle.
Energy in Example: What is it?Energy can take on a variety of shapes. Energy can take many different forms, such as light, heat, mechanical, electrical, acoustic, chemical, nuclear, or atomic energy.
Can you break energy?Energy can only be converted or moved through one form to another; it cannot be created or destroyed. For instance, kinetic energy is produced from chemical energy.
Briefing:Efficiency = (E out / E in) × 100%
E in = (E out / 50) × 100
E in = (500 / 50) × 100
E in = 1000j
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