can someone please simplify and explain what displacement and instantaneous and also scientific notation and velocity to me in a clear, simplified way basically how you'd explain it to a 5th grader
thanks in advance
Displacement and instantaneous:
Displacement is the distance vector that the object has displaced from its initial position. It is calculated from the starting point to the endpoint in the journey of the object in question. The displacement can be understood as the straight line joining the points mentioned above. Keep in mind that the actual path taken by the object is not related to the displacement. The exact route is the average distance.
Velocity is the speed in a particular direction. If I say the speed of the car was 10mph than it would be speed, but if I say the speed was 10mph in the right direction than it would be velocity. So, the Directional speed is velocity. Velocity is a vector quantity and follows the rules of vector algebra and cannot be added or subtracted. The notation of velocity is a v with an arrow on the top. The arrow just tells that the quantity in question is a vector.
A 75 kg pilot flies a plane in a loop. At the top of the loop, where the plane is completely
upside down for an instant, the pilot hangs freely in the seat and does not push against the
seat belt. The airspeed indicator reads 120 m/s. What is the radius of the planes loop?
Answer:
1.47 km
Explanation:
When the pilot hangs freely in the seat and does not push against the seat belt, his centripetal acceleration would counter balance gravitational acceleration g = 9.81m/s2 = a
We can calculate the radius of the loop using velocity v = 120m/s and a
[tex]a = \frac{v^2}{r}[/tex]
[tex]r = \frac{v^2}{a} = \frac{120^2}{9.81} = 1467.89 m[/tex] or 1.46 km
The radius of the plane's loop is approximately 1469.4 meters. This is determined by equating the centripetal force and gravitational force at the top of the loop and solving for radius.
Explanation:The question is about determining the radius of a plane's loop while considering the gravitational force and centripetal acceleration. At the top of the loop, the pilot is not pushed against the belt, which means the gravitational force is providing the necessary centripetal force. We can use the equation of motion for circular motion to solve the problem.
Given that the mass (m) of the pilot is 75 kg and he is travelling with a speed (v) of 120 m/s, and the acceleration due to gravity (g) is approximately 9.8 m/s². Centripetal force (mv²/r) is equal to the gravitational force (mg), hence we can equate mv²/r= mg. The unknown here is r (radius), which we can solve for by rearranging the equation to: r = v²/g. Plugging in the given values gives r = (120 m/s)² / 9.8 m/s² = approximately 1469.4 meters.
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an experiment was done to see which colored sand would heat up the most when placed in the sun. The sand samples were white, red, green, and black. allsamples were the same amount placed in independent containers left in the sun the same amount of time and the temperature was measured with the same thermometer. what is the independent variable the dependent variable the control and the constant?
In which of the following conditions does
the car not accelerate?
A) A car moves at 80 km/h on a flat,
straight highway.
B) The car slows from 80 km/h to 35 km/h
C) The car turns a corner.
D) The car speeds up from 35 km/h to
80 km/h.
Answer:
The answer is A
Explanation:
If it goes 80km/h on a flat highway than it is not going any faster or slower.
When a car moves at 80 kilometers / hour on a flat, straight highway then the car would not accelerate, therefore the correct answer is option A.
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object.
As per the second option when the car slows from 80 km/h to 35 km/h, then it would accelerate with negative acceleration.
When the car turns in the corner car would accelerate because there is a change in the velocity of the motion.
Similarly in the last option when a car speeds up from 35 km/h to
80 km/h, then it would generate acceleration because there is a change in the velocity with respect to the time.
The first option is the tye only case when the car would not accelerate because there is no change in the velocity of the car, thus the correct answer is option A.
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refractive index of Glass sample is 1.52 and date of Ruby is 1.71 if the speed of light in vacuum b 3 into 10 to the power 8 metre per second find the speed of light in glass in Ruby and also calculate the refractive index of air with respect to glass
The speed of light in glass [tex]1.97 \times 10^{8}\ \mathrm{m} / \mathrm{s}[/tex]
The speed of light in Ruby is [tex]1.75 \times 10^{8} \mathrm{m} / \mathrm{s}[/tex]
The refractive index of air with respect to glass is 0.666
Explanation:
The refractive index is the degree of diffraction of a light beam passing from one medium to another. It can also be defined as the ratio of the speed of light in an empty space to the speed of light in a material. The equation is given as
[tex]\text {refractive index, n\ or } \mu=\frac{\text c}{\text {v}}[/tex]
Given data:
[tex]\mu_{\text {glass}}=1.52[/tex]
[tex]\mu_{r u b y}=1.71[/tex]
Velocity of light in vacuum, c = [tex]3 \times 10^{8} \mathrm{m} / \mathrm{s}[/tex]
We need to find velocity of glass, ruby and refractive index ratio of air and glass
To find velocity of glass,
[tex]1.52=\frac{3 \times 10^{8}}{\text {velocity of glass}}[/tex]
[tex]\text {velocity of glass}=\frac{3 \times 10^{8}}{1.52}=1.97 \times 10^{8} \mathrm{m} / \mathrm{s}[/tex]
To find velocity of ruby,
[tex]1.71=\frac{3 \times 10^{8}}{\text {velocity of Ruby}}[/tex]
[tex]\text {velocity of Ruby}=\frac{3 \times 10^{8}}{1.71}=1.75 \times 10^{8}\ \mathrm{m} / \mathrm{s}[/tex]
To calculate the refractive index of air with respect to glass: = [tex]\frac{\mathrm{n}_{\text {air}}}{\mathrm{n}_{\text {glass}}}[/tex]
We know, the value of the refractive index of air is 1
The value of the refractive index of glass is 1.5
So, the ratio of them should be [tex]\frac{1}{1.5}=0.666[/tex]
The three classes of rocks are sedimentary, metamorphic, and igneous. How are rocks classified into one of these three groups?
Answer:
according to the method of their formation
Explanation:
In a model ensemble system, what do meteorologists change each time they run a simulation of the same model?
a) the predicted forecast
B) the mathematical equations used
c) the initial conditions
D) the range of possible outcomes
Answer:
the initial conditions
Explanation:
The rest of the answers are
the duration of seasons on Earth
turn left toward the coast, turn right and head out to sea (in that order)
a warm, dry air mass moving over an area.
The two models assimilate data differently using different equations.
changes in ocean currents
In a model ensemble system, meteorologists change the initial conditions each time they run a simulation of the same model.
What is Ensemble modelling?Ensemble modelling is a process in which multiple diverse models are created to predict an outcome, either by employing a variety of modelling algorithms or by employing a variety of training data sets. The ensemble model then aggregates each base model's prediction, yielding a single final prediction for the unseen data.
The goal of using ensemble models is to reduce prediction generalization error. When the ensemble approach is used, the prediction error of the model decreases as long as the base models are diverse and independent. In making a prediction, the approach seeks the wisdom of the crowds.
Hence, in a model ensemble system, meteorologists change the initial conditions each time they run a simulation of the same model. Option(c) is correct.
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By what mechanical adjustments can you speed up or slow down an old-fashioned grandfather
pendulum clock?
A)By changing the elongation angle of the pendulum
B) By giving the pendulum a slight nudge into or against its motion direction
C) By altering the length of the pendulum
D)
Either of the above works
E) None of the above works
C) By altering the length of the pendulum
Explanation:
The period of a simple pendulum is given by the equation
[tex]T=2\pi \sqrt{\frac{L}{g}}[/tex]
where
L is the length of the pendulum
g is the acceleration due to gravity
In this problem, we are asked which adjustmenet can be done to speed up or slow down the pendulum clock: that means, which adjustment can be done in order to change the period of the pendulum.
From the equation above, we notice that the period of a pendulum depends only on its length (and the acceleration of gravity). Therefore, its period can be changed only by changing the length of the pendulum. And so, the only correct answer is
C) By altering the length of the pendulum
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2. A sailor pushes a 100.0 kg crate up a ramp that is 3.00 m high and 5.00 m long onto the deck of a ship. He
exerts a 650.0 N force parallel to the ramp. What is the mechanical advantage of the ramp? What is the
efficiency of the ramp? Your response should include all of your work and a free-body diagram.
Answer:
Mechanical advantage of the ramp = [tex]\frac{980}{650} = 1.51[/tex]
Efficiency of the ramp = [tex]\frac{Actual\hspace{0.1cm} work\hspace{0.1cm} done}{Work}[/tex] = [tex]\frac{100\times 9.8\times 3}{650\times 5} = \frac{2940}{3250} = 0.9046 = 90.46%[/tex]
Explanation:
i) Mechanical advantage of the ramp = [tex]\frac{980}{650} = 1.51[/tex]
ii) Efficiency of the ramp = [tex]\frac{Actual\hspace{0.1cm} work\hspace{0.1cm} done}{Work}[/tex] = [tex]\frac{100\times 9.8\times 3}{650\times 5} = \frac{2940}{3250} = 0.9046 = 90.46%[/tex]
The mechanical advantage and the efficiency of the ramp are respectively;
330 N and 90%
Mechanical advantage and EfficiencyI have drawn an image of the force diagram on the crate and attached it.
Applying Newton's second law to the force diagram attached, we have;
F_fric + F + N + mg = 0
Projecting forces gives us;
In the x-direction;
F = F_fric + mg*sin α
In the y-direction;
N - mg*cos α = 0
Also;
F_fric = μmg*cos α
Thus;
F = (μmg*cos α) + (mg*sin α)
Mechanical advantage is;
ΔF = mg - F
ΔF = mg - mg((μ cos α) + (sin α))
Since the ramp is 3 m high and 5 m long, then by trigonometric ratios;
(sin α) = 3/5
cos α = 4/5
But we are given that F is 650 N.
Thus;
ΔF = (100 × 9.8) - 650
ΔF = 330 N
Efficiency of the ramp is;
η = (mgh/Fl) × 100%
η = (100 × 9.8 × 3/(650 × 5)) × 100%
η ≈ 90%
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Solve for the missing values using the inverse square
law. Round to the thousandths (0.001) place.
50 pointssss!!!!
SHOW WORK PLS
Answer:
1 2 3 4 5
New force ( N ) 1.25 0.4166 48 175 150
Explanation:
We know that ,
Force ( f ) ∝ distance ( d )
1 )
initial distance =40 m
initial force = 5 N
F ∝ d
F = k d ( k = proportionality constant )
5 = k * 40
k = (1/8)
new distance = 10 m
new force = ( 1/8 ) * 10 = 1.25 N
2)
d = 72 m
F = 2.5 N
k = 2.5/72
new distance = 12 m
new force = ( 2.5/72 ) * 12 = 0.4166 N
3)
d = 12 m
F = 8 N
k = 2/3
new distance = 72 m
new force = ( 2/3 ) *72 = 48 N
4 )
d = 6 m
F = 25 N
k = 25/6
new distance = 42 m
new force = ( 25/6)*42 = 175 N
5)
d = 10 m
F = 50 N
k = 5
new distance = 30 m
new force = 5 * 30 = 150 N
These are equal and opposite forces that do not cause a change in position or motion.
Please answer quickly!
I'm big boi confused.
A beam of light traveling in air enters a substance. If the angle of incidence is 35 ∘ and the angle of refraction is 25 ∘ , what is the index of refraction of the substance?
n1sin(theta)1=n2sin(theta)2 So would it be like 1.008*sin(35)=n2*sin(25) ????
Explanation:
Correct. Air has an index of refraction of approximately 1, and the angle of incidence is 35°. The substance has an unknown index of refraction n, and the angle of refraction is 25°.
1 sin 35° = n sin 25°
n = 1.36
Explain why a law is accepted as fact, but a theory is not
In scientific discourse, a law is generally considered a descriptive generalization about how some aspect of the natural world behaves under stated circumstances. A theory, on the other hand, is a well-substantiated explanation of some aspect of the natural world that incorporates facts, laws, inferences, and tested hypotheses. The principal difference is that a law describes what happens and a theory explains why it happens.
Laws are accepted as fact because they are simple, true statements about how things occur in nature, usually summed up in a mathematical formula. They are typically based on empirical evidence from observations and experiments. For example, the Law of Gravity describes the attraction between two objects but doesn’t explain the mechanism. Theories, however, go through rigorous testing and are only sustained after consistent empirical support. They aim to provide the most reasonable explanation based on the evidence at hand. Consider the Theory of Evolution by Natural Selection - it explains the mechanisms behind the changes in species over time. Unlike a law, a theory can be adjusted or discarded if new evidence presents itself that doesn't align with the current theory. This flexibility is why theories, despite being well-supported, are not accepted as unchanging facts, but rather as the best explanations we have based on current knowledge.
2. Karen wants to know where in her garden a basil plant will grow the best. She thinks a basil plant will grow best in the corner of the garden that gets the most sunlight. To test her hypothesis, she decided to plant several groups of basil in her garden.
Which of the following variables should Karen change from one group of basil plants to the next?
A. the amount of water she gives the plants
B. the location of the plants
C. the height of the plants
D. the type of plants
Since she is testing where the plant would grow best, the type, height and amount of water does not help the original question. Only moving the plants will help her determine where to plant the basil plants. Option B. the location of the plants
Answer: C. the height of the plants
Explanation:
Specifically, I do not know the answer to 18, but if someone could tell me the answers to all of them that would be great.
Answer:
16. reflected
17. transmitted
18. refracted
Roberta's next door neighbor has a theory that the best time to wash your car is late in the afternoon on Sunday. Is this a scientific theory? A. No, it is an opinion and is not testable. B. Yes, the car will stay clean for more of the week. C. Yes, the neighbor might be a scientist. D. No, it is better to wash cars on Saturday.
Answer: no, it is an opinion and is not testable (a)
Explanation:
i just got this question on Study Island
Naomi has increased the pressure on a solution of liquid and gas in a closed container. This will _______
amount of gas held in her solution
the
Increase
Explanation:
Naomi increasing the pressure on a solution of liquid and gas in a closed container will increase the amount of gas held in her solution.
Increase in pressure increases the solubility of gases in a solution.
Originally, the gases have their particles far apart from one another They move randomly all about without staying in the solution. Increasing their pressure brings the gases into more frequent collision with the solution. This will lead to an increase in amount of gas held in a solution.learn more:
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Increasing the pressure on a solution of liquid and gas in a closed container will increase the amount of gas held in the solution.
Explanation:Increasing the pressure on a solution of liquid and gas in a closed container will increase the amount of gas held in the solution. This is because an increase in pressure will result in more collisions between gas particles and the container walls, leading to a greater force being exerted on the walls. As a result, the pressure inside the container increases.
A mechanical engineer launched an arrow with a speed of 800.0 m/s at an angle of 75.0 degree to the horizontal . If it landed on a target 450.0 m away at the same height from which it was fired , for how long was the arrow in the air ?
Answer: 2.17 s
Explanation:
The described situation is related to projectile motion (also known as parabolic motion). So, this kind of motion has a vertical component and a horizontal component; however, in this case we will only need the equation related to the horizontal displacement [tex]x[/tex]:
[tex]x=V_{o}cos \theta t[/tex]
Where:
[tex]x=45 m[/tex] is the arrow's horizontal displacement
[tex]V_{o}=800 m/s[/tex] is the arrow's initial velocity
[tex]\theta=75\°[/tex] is the angle
[tex]t[/tex] is the time the arrow is in the air
Isolating [tex]t[/tex]:
[tex]t=\frac{x}{V_{o}cos \theta}[/tex]
Solving with the given data:
[tex]t=\frac{45 m}{800 m/s cos(75\°)}[/tex]
[tex]t=2.17 s[/tex] This is the time the arrow is in the air
Calculate the force of gravity on a 5 kg mass at Earth's surface. The mass of the Earth is 6 x 1024 kg and its radius is
6.4 x 106 m. Do not use scientific notation. Round to a whole number (no decimal).
Force = 49 N
Explanation:
The gravitational force of attraction on the surface of earth F = G M m/R²
Here G = gravitational constant = 6.67 x 10⁻¹¹
M = mass of the earth and m = mass of the body on the surface of earth .
R = radius of earth
In this question
mass of earth = 6 x 10²⁴ kg and its radius = 6 x 10⁶ m
The values are substituted in the above equation
F = 6.67 x 10⁻¹¹ x 6 x 10²⁴ x 5 / ( 6 x 10⁶ )² = 49 N
The mass will be attracted by 49 N of force .
A cylinder at left has balls stacked near its bottom with an arrow leading to a cylinder at right with balls evenly spaced throughout the cylinder. Which change of state is shown in the model? condensation evaporation sublimation deposition
Answer:
SublimationExplanation:
Your description corresponds to the picture attached.
In that model, the spheres represent atoms or molecules (is the same) of a substace. You can call them particles.
The particles tightly packed inside the cylinder of the left represent a substance in solid state whose particles are in a fix position and cannot move freely.
The particles randomly distributed throughout the cylinder on the right model a substance is gas state, where the particles occupy the whole space, moving freely.
Thus, the image depicts the change of a substance from solid state to gaseus phase. Such change is defined as sublimation.
Therefor, the answer is the third choice of your list: sublimation.
The change observed is the process of sublimation in the model. The correct answer is (c) sublimation.
In that model, the spheres represent atoms or molecules (the same) of a substance. You can call them particles.
The particles tightly packed inside the cylinder on the left represent a substance in a solid state whose particles are in a fixed position and cannot move freely.
The particles are randomly distributed throughout the cylinder on the right model a substance is a gas state, where the particles occupy the whole space, moving freely.
Thus, the image depicts the change of a substance from a solid state to the gaseous phase. Such change is defined as sublimation.
Therefore, the answer is the third choice of your list sublimation. The correct answer is (c).
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The average speed of a train is 24.0km/hr. Suppose a train moving at this speed accelerates -0.20 m/s^2 until it reaches a speed of 8.0 km/hr. How long does it take the train to undergo this change in speed?
time = 2.2 sec
Explanation:
The initial speed of train = 24 km/hr = 24 x 1000/3600 = 20/3 m/sec
The final speed of train = 8 km/hr = 8 x 1000/3600 = 20/9 m/sec
The relation of motion
v = u + a x t
final velocity = initial velocity + acceleration x time
20/9 = 20/3 - 2 x t where t is time
Because the acceleration is negative
2 t = 20/3 - 20/9 = 40/9 or t = 20/9 sec = 2.2 sec
The time taken to decrease the speed from 24 km/hr to 8 km/hr is 2.2 sec approx
100 ml of water is initially at 20°C. 30,000 J of heat is added to the water. What is temperature change for the water?
Answer:
Therefore the new temperature of the water is 91.67°C
Explanation:
Specific heat of water = 4.186 joule /gram °C
The equation to calculate change of temperature
Q=s×m×ΔT
Q = the amount of heat = 30,000 J
s= Specific heat of water = 4.186 joule /gram °C
m = mass of the water = volume ×density=(100×1)gram =100 gram
ΔT = the change of temperature = (T-20)
Therefore,
30000= 4.186×100×(T-20)
⇔(T-20)= 71.67
⇔T = 71.67+20
⇔T = 91.67
Therefore the new temperature of the water is 91.67°C
which is is not an effective way to gain fitness
While pushing a refrigerator up a ramp, there would be less friction to overcome if you used a dolly because of the wheels. So the efficiency of the ramp would be ________________________ with the use of the dolly.
While pushing a refrigerator up a ramp, there would be less friction to overcome if you used a dolly because of the wheels. So the efficiency of the ramp would be greater with the use of the dolly.
Explanation:
The ramp provides for a wedge setup, so when the refrigerator is being pushed up the ramp, the friction on the ramp would equally distributed to the refrigerator when pushed wholly as the friction applied is a product of the coefficient of friction with the Normal reaction of the weight in contact with the surface.
Therefore, when the dolly is used, the surface in contact becomes divided and thus, the friction applied would become less due to though coefficient of friction remains the same, the normal reaction of the weight becomes small and so does the applied friction. Therefore, efficiency of the ramp increases as the friction is less and work done is more.
A real car moving at 10 km/h has more momentum than a toy car moving at the same speed because the real car ____.
A. generates less friction
B. has greater mass
C. has less mass
D. has greater forward motion
Answer:
The answer is B (has greater mass)
The real car has more momentum because it has greater mass.
Explanation:The correct answer is B. The real car has greater mass.
Momentum is defined as the product of an object's mass and its velocity. In this case, both the real car and the toy car are moving at the same speed of 10 km/h. However, since the real car has greater mass, it will have a greater momentum.
For example, let's say the real car has a mass of 1000 kg and the toy car has a mass of 100 kg. The momentum of the real car would be 1000 kg × (10 km/h) = 10,000 kg km/h, while the momentum of the toy car would be 100 kg × (10 km/h) = 1000 kg km/h. Therefore, the real car has more momentum than the toy car.
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When white light passes through a glass prism, it separates out into different colors. Which of the following best explains why this happens?
A. The light is circularly polarized, causing it to spread out when it passes through glass.
B. Different wavelengths of visible light refract at different angles when passing from air to glass.
C. The light passes through tiny holes in the molecules of glass, causing the light to diffract into different colors.
D. White light causes a chemical reaction when it enters glass, causing the glass to emit different colors.
Answer:
B
Explanation:
When a beam of light hits glass straight on it passes right through it. But the whites that make up the light actually get sloped down by the glass. And only go back to their normal speed when they come out the other side. That slowing down is what causes white light to split into a rainbow of color whenever it hits glass on an angle. it happens because glass slows some colors of light more than others and because slowing down on an angle causes them to slightly bend. All colors get bend somewhere in between. The reason that different colors get split is because they all have different wavelengths. The longest being red and violet being the shortest. The longer the wavelengths, the slower it is.
Different wavelengths of visible light refract at different angles when passing from air to glass.
What is the refraction of light?Refraction is the bending of light (it also happens with sound, water and other waves) as it passes from one transparent substance into another. This bending by refraction makes it possible for us to have lenses, magnifying glasses, prisms and rainbows.
When a beam of light hits glass straight on it passes right through it. But the whites that make up the light actually get sloped down by the glass. And only go back to their normal speed when they come out the other side.
That slowing down is what causes white light to split into a rainbow of color whenever it hits glass on an angle. it happens because glass slows some colors of light more than others and because slowing down on an angle causes them to slightly bend.
All colors get bend somewhere in between. The reason that different colors get split is because they all have different wavelengths. The longest being red and violet being the shortest. The longer the wavelengths, the slower it is.
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2. How does the medium vibrate in a transverse wave?
A at right angles to the direction the wave travels
B with half the force of the energy provided
C parallel to the direction the wave travels
D with twice the force of the energy provided
ANSWER :
(A) AT RIGHT ANGLES TO THE DIRECTION THE WAVE TRAVELS.
EXPLANATION :
TRANSVERSE WAVES IS THAT IN WHICH THE PARTICLES VIBRATE WITH AN UP-AND-DOWN MOTION. THE PARTICLES IN A TRANSVERSE WAVE MOVE ACROSS OR PERPENDICULAR TO THE DIRECTION THAT THE WAVE IS TRAVELING OR AT RIGHT ANGLES TO THE DIRECTION THE WAVE TRAVELS.
You pull a 100 N object up a ramp with only 20 N of force.
Find MA.
Mechanical advantage of the ramp is 5
Explanation:
The Mechanical Advantage (MA) of a simple machine represents the factor of multiplication of the input force applied in the machine; it represents the mechanical advantage of the machine taking into account the energy losses due to internal frictional forces.
It is given by
[tex]MA=\frac{Load}{Effort}[/tex]
where
Load is the force in output, which is the weight of the object moved
Effort is the input force applied to move the object
For the ramp in this problem, we have:
Load = 100 N
Effort = 20 N
Therefore, the mechanical advantage is
[tex]MA=\frac{100}{20}=5[/tex]
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A transverse wave on a long horizontal rope with a
wavelength of 8 m travels at 2 m/s. At t= 0, a
particular point on the rope has a vertical
displacement of +A, where A is the amplitude of
the wave. At what time will the vertical
displacement of this same point on the rope be -A ?
Answer:
2 seconds
Explanation:
The frequency of a wave is related to its wavelength and speed by the equation
[tex]f=\frac{v}{\lambda}[/tex]
where
f is the frequency
v is the speed of the wave
[tex]\lambda[/tex] is the wavelength
For the wave in this problem,
v = 2 m/s
[tex]\lambda=8 m[/tex]
So the frequency is
[tex]f=\frac{2}{8}=0.25 Hz[/tex]
The period of a wave is equal to the reciprocal of the frequency, so for this wave:
[tex]T=\frac{1}{f}=\frac{1}{0.25}=4 s[/tex]
This means that the wave takes 4 seconds to complete one full cycle.
Therefore, the time taken for the wave to go from a point with displacement +A to a point with displacement -A is half the period, therefore for this wave:
[tex]t=\frac{T}{2}=\frac{4}{2}=2 s[/tex]
The time taken by the wave to travel the vertical displacement from the point on the rope to -A is 2 seconds
Given to us:
wavelength λ = 8 m,
Velocity v = 2 m/s,
The frequency of a wave is given by:
[tex]frequency=\dfrac{Velocity}{wavelength}\\f=\dfrac{V}{\lambda}\\\\f=\dfrac{2}{8}\\\\f= 0.25\ \rm Hz[/tex]
Therefore, the frequency of the wave is 0.25 Hz.
The period of a wave is equal to the reciprocal of the frequency,
[tex]{\rm period\ of\ time}(T),\\T=\dfrac{1}{f}\\T=\dfrac{1}{0.25}\\\\T=4\ sec[/tex]
Therefore, It takes 4 seconds to complete one full cycle.
Hence, the time taken by the wave to travel the vertical displacement from the point on the rope to -A is 2 seconds as its is the half distance which is needed to be traveled by the wave.
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4. Elements that lie along the stair step line of the periodic table are
a. metals
c. liquids
b. metalloids
d. radioactive
The answer is B. metalloids
(boron, silicon, germanium, arsenic, antimony, tellurium, astatine, and polonium)
Final answer:
Elements along the stair step line of the periodic table are metalloids, with properties between those of metals and nonmetals. Metals are to the left and are conductive and malleable, while nonmetals are to the right and are typically poor conductors. Atomic radii decrease across a period and increase down a group. Option b
Explanation:
Elements that lie along the stair step line of the periodic table are known as metalloids. These elements exhibit properties that are intermediate between those of metals and nonmetals. Metals are typically found to the left of the metalloids, and they are generally malleable, shiny, and good conductors of heat and electricity.
On the other hand, nonmetals are located to the right of the metalloids and typically have opposite properties, such as being poor conductors of heat and electricity. The atomic radii of elements tend to decrease from left to right across a period because of the increasing positive charge in the nucleus, which pulls electrons closer. In contrast, atomic radii generally increase as you move down a group due to the addition of energy levels.