The relation between the energy and the amplitude is,
The energy is directly proportional to the amplitude of the wave.
Thus, increasing the amplitude of the wave will increase the energy of the wave.
Hence, the option A is the correct answer.
condition necessary for thermodynamic equilibrium
Answer:
For a thermodynamic system to be in equilibrium, all intensive (temperature, pressure) and extensive thermodynamic properties (U, G, A, H, S, etc) must be constants. Hence, the total change in any of those properties (dℑ ) must be zero at equilibrium.
Explanation:
hope it helps :)
Answer: For a thermodynamic system to be in equilibrium, all intensive (temperature, pressure) and extensive thermodynamic properties (U, G, A, H, S, etc) must be constants. Hence, the total change in any of those properties (dℑ ) must be zero at equilibrium.
Explanation:
When a skater pulls her arms in, it
reduces her moment of inertia from
2.12 kg m² to 0.699 kg-m². If she was
initially spinning 3.25 rad/s, what is
her final angular velocity?
The skater's final angular velocity is approximately 9.86 rad/s.
The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:
L = Iω
where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
Initially, the skater has an angular momentum of:
L_initial = I_initial * ω_initial
Substituting the given values:
L_initial = 2.12 kg m² * 3.25 rad/s
The skater's final angular momentum remains the same, as angular momentum is conserved:
L_final = L_initial
The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:
L_final = I_final * ω_final
0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s
Solving for ω_final:
ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²
Hence, the skater's final angular velocity is approximately 9.86 rad/s.
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What is the flow rate of water in a pipe flowing full with an area of 0.3 m2 and velocity of 2.5 m/s?
Answer:
0.75 m³/s
Explanation:
Applying,
Q = vA.................... Equation 1
Where Q = flow rate of the water, v = velocity of the water, A = area of the pipe.
From the question,
Given: v = 2.5 m/s, A = 0.3 m²
Substitute these values into equation 1
Q = 2.5(0.3)
Q = 0.75 m³/s
Hence the flow rate of water in the pipe is 0.75 m³/s
A person standing at the edge of a seaside cliff kicks a rock horizontally of the cliff from a
height of 52 m and it lands a distance of 35 m from the base of the cliff. What is the speed at
which the rock was initially kicked?
The time will be the same for both horizontal and vertical component. The initial speed is 10.7 m/s
What is Speed ?Speed is a distance travel per time taken. It is a scalar quantity and it is measured in m/s
Given that a person standing at the edge of a seaside cliff kicks a rock horizontally of the cliff from a height of 52 m and it lands a distance of 35 m from the base of the cliff.
The rock will move vertically downward with initial velocity = 0. The time taken will be constant. That is, same horizontally.
Let us first calculate the time by using the formula
h = ut + 1/2gt²
Where
h = 52 mu = 0Range R = 35 mg = 9.8 m/s²Substitute all the necessary parameters into the formula
52 = 0 + 1/2 × 9.8 × t²
52 = 4.9t²
t² = 52/4.9
t² = 10.6
t = √10.6
t = 3.26 s
The speed at which the rock was initially kicked can be found by
R = Ut
35 = U × 3.26
U = 35/3.26
U = 10.7 m/s
Therefore, rock was initially kicked at a speed of 10.7 m/s
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How much net- work is required to accelerate a 1200-kg car from 25 m/s to 45 m/s?
The net-work required to accelerate the car of mass 1200 kg is 840000 J.
What is work done?Work can be deifned as the product of force and distance.
To calculate the amount of net-work required to accelerate 1200 kg car from 25 m/s to 45 m/s, we use the formula
Formula:
W' = m(v²-u²)/2............ Equation 1Where:
W' = Net-work required to accelerate the carm = Mass of the carv = Final velocityu = Initial velocityFrom the question,
Given:
m = 1200 kgv = 45 m/su = 25 m/sSubstitute these values into equation 1
W' = 1200(45²-25²)/2W' = 1200×1400/2W' = 840000 JHence, the net-work required is 840000 J.
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In the event of a car collision, car 1 (m=1300 kg, v=12.5 m/s) collides with a stationary car (m=1500 kg). The two cars slide off with a velocity of 6.3 m/s, how much energy is lost to friction, sound, etc., during the collision?
*
The amount of energy lost to friction, sound, and other factors during the collision is 48620.15 J.
In the event of a car collision, the momentum of the two vehicles changes as a result of the impact, and energy is transferred from one vehicle to the other.
The impact will result in a loss of energy due to friction, sound, and other factors. Therefore, to calculate the amount of energy lost during the collision, we need to determine the total kinetic energy of the system before and after the collision, and the difference between the two is the energy lost.
To calculate the initial kinetic energy, we need to use the formula 1/2mv², where m is the mass of the object and v is its velocity. Therefore, the initial kinetic energy of car 1 is:KE1 = 1/2 x 1300 kg x (12.5 m/s)² = 101562.5 J The stationary car has no initial kinetic energy since it is at rest.
The total initial kinetic energy of the system is therefore: KE initial = KE1 + KE2 = 101562.5 J To calculate the final kinetic energy, we need to use the velocity of the two cars after the collision.
The problem states that the two cars slide off with a velocity of 6.3 m/s. Therefore, the final kinetic energy of the system is: KE final = 1/2 x (1300 kg + 1500 kg) x (6.3 m/s)² = 52942.35 J.
The energy lost during the collision is the difference between the initial and final kinetic energy: Energy lost = KE initial - KE final = 48620.15 J.
Therefore, the amount of energy lost to friction, sound, and other factors during the collision is 48620.15 J.
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Can someone tell me what a free fall is
Answer:
free fall is any motion of a body where gravity is the only force acting upon it. In the context of general relativity, where gravitation is reduced to a space-time curvature, a body in free fall has no force acting on it
Explanation:
hope this helped
Answer:A freefall is what you experience when you go skydiving and that is because you are falling out of the sky
Explanation:
Coach Wilkins drops a football from the top of the home bleachers at Tiger Stadium. If the stadium is 40.6 meters tall, how long did it take the ball to fall?
Answer:70.6 meters
Explanation:
A different group is worried that the motion detector will not
effectively track the falling object, so they decide to roll a round
object down a ramp instead of dropping it. They measure the initial
height to calculate gravitational potential energy, use the motion
detector to track the final velocity, and calculate the kinetic energy of
the object at the end.
Despite all their careful measurements, it appears that energy is not
conserved! The object is not moving as fast at the bottom as the
initial gravitational potential would have led them to predict. Which
of the following suggestions is possible? Select all that apply.
The energy is not conserved because:
1. Energy may still be leaving the system through friction.
2. There could be measurement error that account for the missing energy
Given that a different group roll a round object down a ramp instead of dropping it. They measure the initial height to calculate gravitational potential energy, use the motion detector to track the final velocity, and calculate the kinetic energy of the object at the end.
Despite all their careful measurements, it appears that energy is not
conserved because
1. Energy may still be leaving the system through friction. In which the energy lost will be converted to thermal energy
2. There could be measurement error that account for the missing energy. The may occur due to systematic error or parallax error
The object is not moving as fast at the bottom as the initial gravitational potential would have led them to predict. This is not as a result of rotational energy. There is nothing like rotational energy.
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8. Aunt Barbara sets a full 2.0 kg milk carton on the kitchen table for breakfast. After the family has eaten, she pours herself a cup of coffee, sits down, and picks up the milk carton, only to find that the 20 N force she exerts accelerates the carton upward at a surprising 50 m/s². Calculate and describe why the milk carton accelerates up faster than Aunt Barbara expect
5. Apply Concepts A heat engine has an energy input of 300 J. Its output of use-
ful energy is 150 J. What is the total output of non-useful energy from the heat
engine? Explain how you know.
Given the data from the question, the total output of non-useful energy from the heat engine is 150 J
What is a heat engine?A heat engine is a device / equipment that can convert or transfer thermal energy into useful-work. Some examples of heat engines include
refrigeratorsInternal combustion Thermal power stationfirearms heat pumpsHow to determine output non-useful energyFrom the question given above, the following data were obtained:
Input energy = 300 JOutput (useful) = 150 JOutput (non-useful) =?Output (non-useful) = Input – Output (useful)
Output (non-useful) = 300 – 150
Output (non-useful) = 150 J
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(11) The speed of radio waves is 300 000 000 m/s.
A radio wave has a frequency of 31 MHZ.
what is wavelength of this radio wave.
Answer:
Wavelength = 9.68 meters
Explanation:
Given the following data;
Speed = 300,000,000m/s
Frequency = 31 Megahertz to Hertz = 31 * 10⁶ Hz
To find the wavelength;
Wavelength = speed/frequency
Wavelength = 300,000,000/31,000,000
Wavelength = 9.68 meters
Voltage
Depends on the amount of resistance
Depends on the amount of current
Is the measurement of electrical pressure
All of the above
Voltage depends on the amount of resistance, current according to the Ohm's law, and, by definition, is the measurement of electrical pressure.
According to the Ohm's Law, the current through a conductor between two points is directly proportional to the voltage across the two points.
Mathematically,
V ∝ I
V = IR
where, R is the resistance of the conductor and I is the current flowing in the conductor. So, the voltage depends on the amount of resistance and current.
Also, Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.
Hence All of the above option in the given question are true.
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How do a parachutes work??4-5 sentences plsss help rn
Answer:
Explanation:
A parachute works by forcing air into the front of it and creating a structured 'wing' under which the canopy pilot can fly. Parachutes are controlled by pulling down on steering lines that change the shape of the wing, cause it to turn. The main forces acting on a parachute are gravity and drag. When you first release the parachute, the force of gravity pulls it downward, and the parachute speeds toward the ground. The faster the parachute falls, though, the more drag it creates.
When looking at a sample of potatoes, what biomolecule would there be a lot of?
Potatoes mostly consist of starch, a complex carbohydrate produced by plants as a means of storing energy.
Are potatoes proteins or lipids?As starch accounts for the majority of potatoes' calories, they are categorised as a carbohydrate vegetable rather than a lipid. Potatoes, like the majority of foods, are a balance of fat, protein, and carbohydrates.
What biomolecule is the most prevalent in living things?The most prevalent biomolecules on earth are carbohydrates, which include cellulose, starch, creatine, glucose, fructose, and others. Through the process of photosynthesis, carbohydrates are created by reducing the carbon dioxide in the atmosphere with the aid of light energy.
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A car is moving north at 5.2 m/s². Which type of motion do the SI units in this value express?
A. Displacement
B. Velocity
C. Speed
D. Acceleration
A car is moving north at 5.2 m/s². SI unit in this value is m/s² (meter per second square), expressing Acceleration. Thus, Option D is the correct answer.
Here Acceleration of any object is given by the Rate of change in velocity in relation to time.
\(Acceleration = \frac{velocity}{time}\) ............(i)
The standard Indian (SI) unit of Acceleration is meter per second square(m/s²).
The velocity of any object is displacement per unit time.
\(velocity = \frac{Displacement}{Time}\)............(ii)
The standard Indian (SI) unit of Velocity is meter per second(m/s)
The Displacement of any object is the shortest distance covered by any object considering the direction of motion also.
The standard Indian (SI) unit of displacement is meter(m).
The standard Indian (SI) unit of Time is Second(s).
We can find standard Indian (SI) unit of Acceleration using formula as follows:
\(Acceleration= \frac{Velocity}{time*time}\) (we got this formula from (i), (ii) )
The standard Indian (SI) units of acceleration are \(=\frac{m}{s*s}\)
\(=m/s^{2}\)
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Physics question, vectors
The typical canoeist can paddle at about 2.6 knots, or 3 mph (ca. 5 km/h), when paddling without stopping and in calm, quiet water. Obviously, the length of time depends on the weather, the person's health, and the speed of the canoe.
What speed of canoe with respect to water and shore?The typical canoeist can paddle at about 2.6 knots, or 3 mph (ca. 5 km/h), when paddling without stopping and in calm, quiet water. Obviously, the length of time depends on the weather, the person's health, and the speed of the canoe.
Therefore, When the medium is deepest, water waves propagate more quickly. Water waves will therefore slow down as they go from deep to shallow water.
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Which two waves combine to form a surface wave?
a transverse wave and a light wave
two transverse waves
two longitudinal waves
a transverse wave and a longitudinal wave
Answer:
i beilieve that the answer is a transverse wave and a longitudinal wave
Explanation:
i dont really have an explanation
The two waves combine to form the surface wave will be the transverse wave and the longitudinal waves.
What are surface waves?Surface waves are generated from the point of the earthquake inside the earth. There are generally three types of waves are generated primary, secondary, and surface waves.
Now this surface wave is the slowest wave which reach to the surface of earth very slowly and is the most destructive wave.
The surface waves travel both in the vertical as the well horizontal direction along their direction of flow.
An example of surface waves is the car park in the parking that goes up down just like the waves in the oceans.
Thus the two waves combine to form the surface wave will be the transverse wave and the longitudinal waves.
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i'd like you to explain this to me, I don't have a clue on how to do this
1. I would like you to then go into detail as to why this is an important discovery or application of this scientific principle.
2. Then I would like you to explain how this applies to what we have learned.
"discovery" - Spanish flu
scientific concept/principle - exponential growth
thank you!
Answer:
Explanation:
The Spanish flu pandemic of 1918, the deadliest in history, infected an estimated 500 million people worldwide about one-third of the planet’s population and killed an estimated 20 million to 50 million victims, including some 675,000 Americans. The 1918 flu was first observed in Europe, the United States and parts of Asia before swiftly spreading around the world. At the time, there were no effective drugs or vaccines to treat this killer flu strain. Citizens were ordered to wear masks, schools, theaters and businesses were shuttered and bodies piled up in makeshift morgues.
Does this sound familiar?
Its the same thing but with a different name called the Corona virus pandemic the same thing happened in 1918 and now it is happening again in 2020 , but in in 2020 there are far less people infected by the Corona virus as compared to the Spanish flu the numbers approximate around 70 million infected and deaths are around 2 million.
The rapid spread of Spanish flu in the fall of 1918 was at least partially to blame on public health officials unwilling to impose quarantines during wartime. The public health response to the crisis in the United States was further hampered by a severe nursing shortage as thousands of nurses had been deployed to military camps and the front lines. But one of the chief reasons that the Spanish flu claimed so many lives in 1918 was that science simply didn’t have the tools to develop a vaccine for the virus. Microscopes couldn’t even see something as incredibly small as a virus until the 1930s.
That is why the Spanish Flu claimed so many lives in 1918 and the Corona Virus didn't claim that many.
The Corona Virus patients with respect to Spanish Flu patients exponentially decreased because in 2020 we had the specific tools to fight the virus and since mankind was aware when the world engrossed into the pandemic 100 years before the new the risks that it could impose on the world , People started to Quarantine themselves, more nurses/doctors are available rather than in the era of the 19th century.
Mathematically we would say that the exponential growth would be:
\(y=ab^x\)
This is an exponential function, which means as you increase x , y increases exponentially, and where a is the initial value and b is the growth factor.
For example:
There are 100,000 cases of Coronavirus when the virus outbroke. If the number of cases doubles every week then how many cases would be there in 10 weeks?
So the solution would be
\(y=ab^x\\y=100000(2)^{10}\\y=102400000\)
Which means people infected with the virus would be approximate 102.5 million. But since this kind of pandemic already broke out in 1918 called the Spanish flu mankind was wise and controlled its growth factor (b) by Quarantining people , shutting down businesses, schools and implying them to work from home , closing off cafeteria's restaurants for dine in purposes and just allowing take away to reduce human contact, and since 1918 we have more doctors and nurses to treat the infected in 2020 we reduced the outbreak to 70 million in about 10 months other wise it could have been 100 million in just 2.5 months as we can see.
So guys stay indoors just go out if you REALLY need something, avoid meeting others , wear masks and gloves :)
Consider the circuit in Figure 5 with e(t) = 12sin(120pit) V. When S1 and S2 are
open, i leads e by 30°. When SI is closed and S2 is open, i lags e by 30°. When S1 and S2 are closed, i has an amplitude 0.5A. What are R, L, and C?
Based on the information, it should be noted that the resistance R is 0.5 Ω.
How to calculate the resistanceWhen S1 and S2 are open, i leads e by 30°. In this case, the circuit consists of only the inductor (L) and the capacitor (C) in series. Therefore, the impedance of the circuit can be written as:
Z = jωL - 1/(jωC)
Since i leads e by 30°, we can express the phasor relationship as:
I = k * e^(j(ωt + θ))
Z = jωL - 1/(jωC) = j(120π)L - 1/(j(120π)C)
Re(Z) = 0
By equating the real parts, we get:
0 = 0 - 1/(120πC)
Let's assume that there is a resistance (R) in series with the inductor and capacitor. The impedance equation becomes:
Z = R + jωL - 1/(jωC)
Z = R + jωL
Im(Z) = ωL > 0
Substituting the angular frequency and rearranging the inequality, we have:
120πL > 0
L > 0
This condition implies that the inductance L must be greater than zero.
When S1 and S2 are closed, i has an amplitude of 0.5 A. In this case, the impedance is:
Z = R + jωL - 1/(jωC)
Since the amplitude of i is given as 0.5 A, we can express the phasor relationship as:
I = 0.5 * e^(j(ωt + θ))
By substituting this phasor relationship into the impedance equation, we can determine the value of R. The real part of the impedance must be equal to R:
Re(Z) = R
Since the amplitude of i is 0.5 A, the real part of the impedance must be equal to 0.5 A: 0.5 = R
Therefore, the resistance R is 0.5 Ω.
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A soccer ball is kicked with an initial horizontal velocity of 11 m/s and an initial vertical velocity of 17 m/s.
1)what is the initial speed of the ball?20.25 m/s
2)what is the initial angle 0 of the ball with respect to the ground? 57.09 degrees
3)what is the maximum height the ball goes above the ground? 14.74m
I need help with 4,5 and 6
4)How far from where it was kicked will the ball land?
5) what is the speed of the ball 2.5 second after it was kicked?
6)how high above the ground is the ball 2.5 seconds after it is kicked?
The answers are 4. The distance from where the ball was kicked is 38.06 meters, 5. The speed of the ball 2.5 seconds after it was kicked is 13.82 m/s, and 6. The ball is 21.88 meters above the ground 2.5 seconds after it is kicked.
4) To calculate the distance from where the ball was kicked, we need to find the time it takes to reach the ground. We can use the fact that the vertical displacement of the ball is zero at the highest point. Using the formula vf = vi + at, the time it takes to reach maximum height is t = vf / g where g is the acceleration due to gravity which is -9.8 m/s² since it is downward and vf is the final velocity which is 0 because the ball comes to rest at the highest point. t = 17 / 9.8 = 1.73 s. This means the total time for the ball to hit the ground is 2 x 1.73 = 3.46 s. Using the formula for horizontal distance traveled d = vt, we get d = 11 x 3.46 = 38.06 m. So, the distance from where the ball was kicked will be 38.06 meters.5) To calculate the speed of the ball 2.5 seconds after it was kicked, we need to find the horizontal and vertical components of the velocity of the ball at 2.5 seconds. The horizontal component is constant, so it will still be 11 m/s. To find the vertical component, we use the formula vf = vi + at where vi is initial velocity, a is acceleration due to gravity which is -9.8 m/s² and t is the time which is 2.5 seconds. vf = 17 + (-9.8 x 2.5) = -7.5 m/s. Since the ball is moving downward, the velocity is negative. Therefore, the speed of the ball 2.5 seconds after it was kicked is sqrt(11² + (-7.5)²) = 13.82 m/s.6) To calculate how high above the ground is the ball 2.5 seconds after it is kicked, we use the formula for the displacement of an object in the vertical direction y = vi*t + (1/2)*a*t² where vi is initial velocity, a is acceleration due to gravity which is -9.8 m/s² and t is the time which is 2.5 seconds. y = 17*2.5 + (1/2)*(-9.8)*(2.5)² = 21.88 m. So, the ball is 21.88 m above the ground 2.5 seconds after it is kicked.For more questions on speed
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Calculate the mass in kg of a ball at a height of 3m above the ground with a potential energy of 120J.
The mass of the ball at a height of 3m above the ground with a potential energy of 120J can be calculated using the equation:
Mass = Potential Energy/Gravity * Height
Mass = 120J/(9.81m/s² * 3m)
Mass = 4.1 kg
Answer:
4 kg
Explanation:
Using,
Energy/ Work done = Force x Distance (Height)
E = F • s
But recall, that F = mg
Therefore,
E = m • g • s
Making mass (m), the subject of the formula
m = E / (g • s)
m = 120 / (10 • 3)
m = 120 / 30
m = 4 kg
But if g = 9.8 ms-¹
Then,
m = 120 / (9.8 • 3)
m = 120 / 29.4
m = 4.08 kg
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Manganese-52 has a half-life of 6 days. How many days would a scientist have to wait for the radioactivity to be 12.5% the starting amount?
Answer:
Let N = N0 where N0 is the number of atoms originally present.
In 6 days N = N0 / 2
In 12 days N = N0 / 4
In 18 days N = N0 / 8 = .125 N0
So it would take 18 days.
Manganese-52 has a half-life of 6 days. a scientist has to wait 18 days for the radioactivity to be 12.5% of the starting amount
What is radioactivity?The ability of some unstable atoms to emit nuclear radiation spontaneously, typically in the form of alpha or beta particles frequently accompanied by gamma rays, is known as radioactivity. This radiation is released when a nucleus undergoes radioactive decay and transforms into a different isotope that may be radioactive (unstable) or non-radioactive depending on the number of neutrons and protons in the nucleus (stable).
As given in the problem statement Manganese-52 has a half-life of 6 days. this means after 6 days Manganese-52 will reduce to its half value
similarly, after 12 days it further reduces to 50% of the previous value which would be 25 %
Similarly, after 18 days, it will reduce 50% from the previous value which comes out to be 12.5 %
Thus, The half-life of manganese-52 is 6 days. It takes 18 days for the radioactivity to drop to 12.5% of the initial level.
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A Student 330 m 990m from another tall flip between the the Student stands Sound Interval beteeen cliff is cliff from of 1 st and 630 tall Hip which speed of 330 if the 330 m/s 2nd eh what is echo?
The interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.
To determine the interval between the first and second echo, we need to consider the time it takes for sound to travel from the student to the first cliff, and then from the first cliff to the second cliff, and finally back to the student.
Let's break down the distances and calculate the time for each part of the journey:
Distance from the student to the first cliff: 330 meters
Time taken: t₁ = distance / speed = 330 m / 330 m/s = 1 second
Distance from the first cliff to the second cliff: 990 meters
Time taken: t₂ = distance / speed = 990 m / 330 m/s = 3 seconds
Distance from the second cliff back to the student: 990 meters
Time taken: t₃ = distance / speed = 990 m / 330 m/s = 3 seconds
Now, we can calculate the total interval between the first and second echo by adding up the individual times:
Interval between first and second echo = t₁ + t₂ + t₃ = 1 s + 3 s + 3 s = 7 seconds
Therefore, the interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.
It's important to note that this calculation assumes a straight path for the sound waves and neglects factors such as air temperature and wind that can affect the speed of sound. Additionally, it assumes perfect reflection of sound waves off the cliffs, which may not be the case in real-world scenarios.
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Note the complete questions is:
A student stands 330m from a tall cliff which is 990m from another tall cliff. If the speed of sound between the cliffs is 330m/s.What is the interval between the first and second echo?
Hi I need the answer to this please
Answer:
its A
Explanation:
because that's how reality works
Answer:
B
Explanation:
thermal energy (heat) flows from a highest to lowest
Fe + Br2 --> FeBr3
How many atoms of iron (Fe) are in the reactants?
How many atoms of bromine (Br) are in the reactants?
How many molecules of bromine are in the reactants?
How many atoms of iron (Fe) are in the products?
How many atoms of bromine (Br) are in the products?
How many particles of iron (III) bromide are in the products?
Is this equation balanced?
If the equation is not balanced, then balance it below :
__Fe + __Br2 ——-> __FeBr3
Explanation:
121134No2Fe+3Br2-->2FeBr3URGENT!! A 0.057 kg tennis ball and a tennis racket collide. The racket has an initial
momentum of -2.80 kg m/s and a final momentum of -1.97 kg-m/s. The ball
has an initial momentum of 0.02565 kg-m/s. If you assume the collision is
elastic, what is the final velocity of the ball?
O A. -83.26 m/s
O B. -0.80 m/s
O C. -14.11 m/s
O D. -4.75 m/s
Answer:
-14.11
Explanation:
A 2.60 kg lion runs at a speed of 5.00 m/s until he sees his prey. The lion then speeds up 8.00 m/s to catch it. How much work did do after he speeds up?
Answer: 50.7 J
Explanation:
Given
mass of lion is \(m=2.6\ kg\)
The initial speed of the lion is \(v_1=5\ m/s\)
increased speed of lion is \(v_2=8\ m/s\)
Initially, its kinetic energy is \(K_1=\frac{1}{2}mv_1^2\)
Final kinetic energy \(k_2=\frac{1}{2}mv_2^2\)
work did by lion after speed up is \(k_2-k_1\)
\(\Rightarrow W=\dfrac{1}{2}\times 2.6[8^2-5^2]\\\\\Rightarrow W=1.3\times [39]=50.7\ J\)
The accepted measurement of the volume of a liquid
sample is 15.20 mL. If the student's measurement is
14.80 mL. What is the percentage of error?
A-(4.25%
B-(1.75%)
C-(3.50%)
D-(2.63 %)
Answer:
D-(2.63 %)
Explanation:
Percentage Error
Is the difference between the approximate and the exact or accepted value of a measurement, as a percentage of the exact or accepted value.
The formula is:
\(\displaystyle \delta=\left |\frac{va-ve}{ve} \right |\cdot 100\%\)
The accepted value of the volume of a liquid sample is va=15.20 ml and the student's measurement is ve=14.80 ml. The percentage of error is:
\(\displaystyle \delta=\left |\frac{15.20-14.80}{15.20}\right |\cdot 100\%\)
\(\displaystyle \delta=\left |\frac{0.4}{15.20}\right |\cdot 100\%\)
\(\delta=2.63\%\)
Correct choice: D-(2.63 %)
Light from a He-Ne laser of wavelength 633 nm passes through a circular aperture. It is observed on a screen 4.0 m behind the aperture. The width of the central maximum is 1.1 cm. What is the diameter of the hole
Answer:
The diameter of the hole is 5.6164 μm
Explanation:
Given the data in the question;
wavelength λ = 633 nm = 633 × 10⁻⁹ m
L = 4.0 M
width of the central maximum D = 1.1 cm.
Now,
Y = D / 2
Y = 1.1 / 2 = 0.55 cm
So diameter of the aperture will be;
α = 1.22λ / ( Y / L )
we substitute in our values;
α = ( 1.22 × (633 × 10⁻⁹ m)) / ( 0.55 / 4.0 )
α = 0.00000077226 / 0.1375
α = 5.6164 × 10⁻⁶ m
α = ( 5.6164 × 10⁻⁶ × 10⁶ ) μm
α = 5.6164 μm
Therefore, the diameter of the hole is 5.6164 μm