The relationship between wavelength, frequency, and photon energy is inverse. As the wavelength of a wave decreases, the frequency and photon energy increase, and vice versa.
Wavelength and Frequency: Wavelength (λ) and frequency (f) are inversely related. This means that as the wavelength increases, the frequency decreases, and as the wavelength decreases, the frequency increases. This relationship can be described by the equation:
λ = c/f
where c is the speed of light. This equation shows that the product of wavelength and frequency is always a constant (the speed of light).
Frequency and Photon Energy: The energy of a photon is directly proportional to its frequency. This relationship is described by the equation:
E = hf
where E is the energy of the photon, h is Planck's constant, and f is the frequency. According to this equation, as the frequency increases, the energy of the photon increases, and as the frequency decreases, the energy of the photon decreases.
Combining the Relationships: Since wavelength and frequency have an inverse relationship and frequency and photon energy have a direct relationship, it follows that wavelength and photon energy also have an inverse relationship. As the wavelength decreases, the frequency increases, and therefore, the photon energy increases. Conversely, as the wavelength increases, the frequency decreases, and the photon energy decreases.
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GENTE ME AJUDEM NESTA QUESTÃO POR FAVOR, TENHO PROVA ONLINE AMANHÃ! "Um sonar de um navio de pesca localizou um cardume de sardinhas a 300 m de profundidade. Sabendo que a velocidade de propagação do som na água tem o valor de 1500 m/s, calcula o tempo que decorre desde a emissão dos ultra-sons e a sua receção no navio." Por favor!
Answer:
The time between the emission of the wave and it's reception was 0.4 seconds.
Explanation:
The sound wave emitted by the sonar traveled from the boat to the fishes and came back, therefore the distance of it's total route is twice the distance from the boat to the fishes. We can apply the average speed formula in order to solve this problem, this is done below:
\(\text{speed} = \frac{\text{distance}}{\text{time}}\)
We were given the distance traveled by the wave and it's speed, therefore we can solve for the time:
\(\text{time} = \frac{\text{distance}}{\text{speed}}\\\\\text{time} = \frac{(2*300)}{1500}\\\\\text{time} = \frac{600}{1500} = 0.4 \text{ s}\)
The time between the emission of the wave and it's reception was 0.4 seconds.
When a pair of particles is generated or interacts in certain ways, they are said to be "entangled". What does this mean?
Measurements made on these particles are predictable.
Measurements made on these particles are unpredictable.
Particles will move parallel to each other in a corkscrew way.
Measurements made on these particles will be correlated.
Answer:
D.Measurements made on these particles will be correlated.
Explanation:
Determine the value of n so that the vectors A and B are perpendicular: Ā = î + 5j + nk and B = 2î - j + k
If \(\vec A\) and \(\vec B\) are perpendicular, then their dot product is zero. This means
\(\vec A \cdot \vec B = (\vec\imath + 5\,\vec\jmath + n\,\vec k) \cdot (2\,\vec\imath - \vec\jmath + \vec k) = 2 - 5 + n = 0\)
Solving for n is trivial; it follows that n = 3.
The cord from an appliance is too short to reach the wall outlet in your room. You have two extension cords to choose from. (a) Find the voltage drop in the first extension cord having a 0.0760 ? resistance and through which 5.60 A is flowing. V (b) The second extension cord is cheaper and utilizes thinner wire. It has a resistance of 0.760 ? and the current flowing through it is 5.60 A. By what amount does the voltage supplied to the appliance change when the first extension cord is replaced by the second?
When the first extension cord is replaced by the second then the voltage supplied to the appliance drops by 3.834 V.
The voltage drop in the first extension cord can be calculated using Ohm's law:
V = IR
where V is the voltage drop, I is current, and R is the resistance.
The voltage drop in the first extension cord is V = IR = (5.60 A) x (0.0760 Ω) = 0.4256 V.
The voltage drop across the second extension cord is also V = IR = (5.60 A) x (0.760 Ω) = 4.256 V.
Therefore, the voltage supplied to the appliance changes by (0.4256 V - 4.256 V) = - 3.8304 V when the first extension cord is replaced by the second.
Extension cords are useful for transferring power to areas where there are no outlets, and they can also come in handy in places where outlets are inaccessible. However, if you have two extension cords to choose from, the voltage drop in each cord can impact the amount of voltage supplied to the appliance.
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how do scientists predict the location of electrons in the modern model of the atom
Answer:
Scientists predict the location of electrons in the modern model of the atom by using the Heisenberg uncertainty principle.
When sodium and chlorine combine to form sodium
chloride, sodium chloride is the:
a. originator
b. reactant
c. product
d. produce
Answer:
product
Explanation: it's the product of chlorine and sodium
Answer:
y
Explanation:
The table below shows four examples of pairs of objects, the masses of each
object in the pair, and the distances between the objects. In which example is the
gravitational force of attraction between the two objects the greatest?
F3 is the greatest of all forces , hence 3rd case in which masses were 200kg and 150 kg separated with a distance of 10 will have greatest force of all
The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them is called gravitation force of attraction
gravitation force = Gm1 m2 / \(r^{2}\)
G = gravitational constant
m1 = mass of one object
m2 = mass of other object
r = distance between them
case 1
F1 = G (50) (100) / \(20^{2}\) = 12.5 G
F2 = G (50) (10) / \(10^{2}\) = 5 G
F3 = G (200) (150) / \(10^{2}\) = 300 G
F4 = G (200) (150) / \(30^{2}\) = 33.33 G
F3 is the greatest of all forces , hence 3rd case in which masses were 200kg and 150 kg separated with a distance of 10 will have greatest force of all
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A magnet pulls a piece of iron with a force of 1 N. What is the force that the iron piece exerts on the magnet?
The iron piece exerts a force of 1 N divided by the ratio of the weight of the iron piece to the weight of the magnet in the same direction.
The iron piece exerts a force of 1 N on the magnet in the opposite direction.
The iron piece exerts a force of 1 N divided by the ratio of the weight of the iron piece to the weight of the magnet in the opposite direction.
The iron piece exerts a force of 1 N on the magnet in the same direction.
Answer:
the final statements the correct one is. The second
The iron piece exerts a force of 1 N on the magnet in the opposite direction
Explanation:
In this exercise they give us the force exerted by a magnet on an iron bar and ask us the force that the iron bar exerts on the magnet. We can see that these are action and reaction forces, which by Newton's third law must be of equal magnitude and opposite direction, each applied to one of the bodies.
the final statements the correct one is. The second
The iron piece exerts a force of 1 N on the magnet in the opposite direction
Solar energy and hydroelectric energy are important sources of energy. Find out more about either one of these forms of energy. What is being done to make it a more efficient source of energy, and where it is being used in the United States?
Answer:
Question: Find out more about either one of these forms of energy
Answer:
Solar energy: This is energy generated from the sunlight, and it can be converted to other energy that can be useful. Solar energy from the sun considered a clean source of electricity can be converted to a usable electricity source or stores the light in batteries for thermal use. This energy conversion is possible through the use of solar panels attached to where the conversion would take place so as to capture the light from the sun.
Question: What is being done to make it a more efficient source of energy
Answer:
1. When using solar energy to power homes, it is more efficient to have panels on a green roof because of the characteristics of this roof not to reflect or lose more light from the sun.
2. Improvements on the type of solar cell to use for instance that are cheaper and could maximize the energy from the sun are all ways that make it more efficient.
3. Since solar panels don't produce energy at night, usage of batteries that could store electricity during the day or when the sun is not obscured would make solar more efficient.
Question: where it is being used in the United States?
Answer:
1. California
2. Nevada
3. New York
4. Texas
I WILL GIVE BRAINLIEST!!!
The Earth's diameter at the equators is ____ its diameter at the poles.
equal to
less than
greater than
does bulb a get brighter, dimmer, or stay the same brightness? view available hint(s)for part b does bulb a get brighter, dimmer, or stay the same brightness? light bulb a gets brighter. light bulb a gets dimmer. light bulb a stays the same brightness. previous answers all attempts used; correct answer withheld by instructor keep in mind that the brightness of a light bulb is related to the square of the current that passes through the bulb and the resistance of the bulb. when light bulb e is unscrewed and removed from the circuit, does the amount of current that leaves the battery increase or decrease? provide feedback
The amount of current that leaves the battery will decrease when light bulb E is unscrewed and removed from the circuit. Based on the available information, we cannot determine whether bulb A gets brighter, dimmer, or stays the same brightness.
The reason is that there is not enough information about the circuit or the behavior of other bulbs in the circuit.
However, we are given a hint that the brightness of a light bulb is related to the square of the current that passes through it and the resistance of the bulb. This means that if the current passing through bulb A increases, its brightness will increase as well, and if the current passing through bulb A decreases, its brightness will decrease.
For part B, when light bulb E is unscrewed and removed from the circuit, the total resistance of the circuit will increase since there is now one less bulb for the current to flow through. According to Ohm's law, the current passing through the circuit is directly proportional to the voltage and inversely proportional to the resistance.
Since the voltage of the battery remains constant, the current passing through the circuit will decrease when the resistance of the circuit increases. Therefore, the amount of current that leaves the battery will decrease when light bulb E is unscrewed and removed from the circuit.
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At the beginning of her fall, does the skydiver have an acceleration?
She experiences a constant acceleration of 9.8 m/s² (the acceleration due to gravity) at the beginning of her fall.
What is the acceleration due to gravity?The acceleration due to gravity is the acceleration that an object experiences when it is in free fall under the influence of gravity.
Here,
As mentioned in the question, At the beginning of her fall, the skydiver has an acceleration at the beginning of her fall. When she first jumps out of the airplane, she is initially at rest and begins to accelerate downwards due to the force of gravity acting on her.
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. In the case of the skydiver, the force of gravity is the net force acting on her, and her mass is constant.
Therefore, she experiences a constant acceleration of 9.8 m/s² (the acceleration due to gravity) at the beginning of her fall.
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Two crates are dropped from the same height in a vacuum. The mass and force of the crates are shown in the diagram. Which of the following statements is supported by the data?
The momentum of both crates will be the same right before they hit the ground.
The normal force will be the same on both crates when they hit the ground.
Both of the crates are accelerating at the same rate.
Both of the crates are falling at a constant speed.
The statement that is supported by the data is that both of the crates are accelerating at the same rate. That is option C.
What is acceleration?Acceleration is defined as the quantity that measures the rate of change of velocity of a moving object.
According to Newton's second law, the force (F) acting on an object is equal to the mass (m) of object times its acceleration (a).
That is F = ma
For the first crate = a = 686/70 = 9.8 m/s²
Fro the second crate = 490/50 = 9.8 m/s²
Therefore, Both of the crates are accelerating at the same rate.
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What do you think is the main advantage of the Scientific Method approach to understand the physical world and an alternative like astrology? Please explain.
The main advantage of the scientific method is that it is a systematic and objective way to acquire knowledge. The scientific method is a process for acquiring knowledge that has been used to great success in understanding the physical world. Astrology, on the other hand, is based on subjective interpretations of the positions of the stars and planets.
The scientific method is a process for acquiring knowledge that has been used to great success in understanding the physical world. It is based on the following steps:
1. **Observation:** The scientist observes a phenomenon and asks questions about it.
2. **Hypothesis:** The scientist proposes a hypothesis, or a possible explanation for the phenomenon.
3. **Experimentation:** The scientist designs experiments to test the hypothesis.
4. **Data analysis:** The scientist collects data from the experiments and analyzes it.
5. **Conclusion:** The scientist draws a conclusion about the hypothesis based on the data analysis.
The scientific method is an iterative process, meaning that the scientist may go back and forth between the different steps as needed.
Astrology, on the other hand, is a system of divination that attempts to predict future events by interpreting the positions of the stars and planets. Astrology is not based on the scientific method, and there is no evidence that it is a reliable way to predict the future.
The main advantage of the scientific method is that it is a systematic and objective way to acquire knowledge. The steps of the scientific method are designed to minimize bias and to ensure that the results of the experiments are repeatable. This makes the scientific method a reliable way to learn about the physical world.
Astrology, on the other hand, is based on subjective interpretations of the positions of the stars and planets. There is no scientific evidence to support the claims of astrology, and the results of astrological predictions are not repeatable.
In conclusion, the scientific method is a more reliable way to understand the physical world than astrology. The scientific method is based on a systematic and objective approach to acquiring knowledge, while astrology is based on subjective interpretations of the positions of the stars and planets.
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suppose the radius of the wheel is doubled. are the answers affected? if so, in what way? (select all that apply.)
To know more about the effects of doubling the radius of a wheel and solve the given problem:
When the radius of a wheel is doubled, the answers to the given questions are affected in the following ways:
The angular speed at 2.00 s is smaller: False. Doubling the radius does not directly affect the angular speed at a specific time. It depends on the angular acceleration and initial conditions.
The angle rotated through from t = 0 to t = 2.00 s is the same: True. The angle rotated depends on the angular speed and time, which are not directly affected by the radius.
The angular speed at t = 2.00 s is greater: False. The angular speed is not affected by doubling the radius, assuming the angular acceleration remains constant.
The angular speed at t = 2.00 s is the same: True. Doubling the radius does not directly impact the angular speed at a specific time, assuming other factors remain constant.
The angle rotated through from t = 0 to t = 2.00 s is greater: False. The angle rotated depends on the angular speed and time, which are not directly influenced by the radius.
The angle rotated through from t = 0 to t = 2.00 s is smaller: False. The angle rotated depends on the angular speed and time, which are not directly affected by the radius.
Now, let's solve the provided problem. We are given that the wheel has a constant angular acceleration of 3.40 rad/s² and an angular speed of 1.70 rad/s at t = 0.
(a) To find the angle rotated between t = 0 and t = 2.00 s, we can use the equation: θ = ω₀t + (1/2)αt², where ω₀ is the initial angular speed, α is the angular acceleration, and t is the time. Substituting the given values, we get θ = (1.70 rad/s)(2.00 s) + (1/2)(3.40 rad/s²)(2.00 s)². Evaluating this expression gives us the angle rotated in radians.
(b) To find the angular speed at t = 2.00 s, we can use the equation: ω = ω₀ + αt. Substituting the given values, we get ω = 1.70 rad/s + (3.40 rad/s²)(2.00 s).
(c) To find the angular displacement in revolutions when the angular speed doubles, we need to find the angular speed when t = 2.00 s and then double that value.
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A Ford Shleby GT 500 has a horsepower of 760 hp. What is that is Watts? DO NOT include units - just the numeric answer. I QUESTION 15 An object of mass 100 kg is moved with an acceleration of 10 m/2, and goes fron an initial position of 10 m to a final position of 30 m. What work was done on the object? DO NOT include units - just the numeric answer.
the work done on the object is 20000 J.
The conversion factor from horsepower to watts is 1 hp = 746 watts.
Therefore, the Ford Shelby GT 500's horsepower of 760 hp can be converted to watts as follows:
760 hp × 746 watts/hp = 567760 watts
To convert horsepower to watts, you simply need to multiply the number of horsepower by the conversion factor of 746 watts/hp.So, the numeric answer for 760 hp in watts is 567760.
According to the work-energy principle, the work done on an object is equal to the change in kinetic energy. Mathematically, the work-energy principle can be represented as follows:
W = ΔKHere, W represents the work done on the object, and ΔK represents the change in kinetic energy of the object.
The change in kinetic energy can be calculated using the following formula:
ΔK = (1/2)mvf² - (1/2)mvi²
Here, m represents the mass of the object, vi represents the initial velocity of the object, and vf represents the final velocity of the object. In this case, the object is initially at rest (vi = 0), so the formula can be simplified to
:ΔK = (1/2)mvf²
Now, we can use the following kinematic equation to calculate the final velocity of the object:
vf² = vi² + 2ax
Here, a represents the acceleration of the object, x represents the displacement of the object, and vi represents the initial velocity of the object. Plugging in the given values, we get:
vf² = 0 + 2(10 m/s²)(30 m - 10 m)vf² = 400 m²/s²vf = 20 m/s
Now, we can plug in the values of m and vf to calculate the change in kinetic energy:
ΔK = (1/2)(100 kg)(20 m/s)²ΔK = 20000 JSo, the numeric answer for the work done on the object is 20000 J.
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how to calculate displacement
g What inductance is needed in series with a 4.7-μF capacitor so the circuit will oscillate at a frequency of 10 kHz?
To determine the required inductance, we can use the formula for the resonant frequency of an LC circuit:
f = 1 / (2π√(LC))
where f is the desired frequency (10 kHz), C is the capacitance (4.7 μF), and L is the unknown inductance. Solving for L, we get:
L = 1 / (4π^2f^2C)
Plugging in the given values, we get:
L = 1 / (4π^2 × 10,000^2 × 4.7 × 10^-6) ≈ 7.23 mH
Therefore, an inductance of approximately 7.23 mH is needed in series with the 4.7-μF capacitor for the circuit to oscillate at a frequency of 10 kHz.
To find the inductance needed in series with a 4.7-μF capacitor for the circuit to oscillate at a frequency of 10 kHz, you can use the formula for resonant frequency in an LC circuit:
f = 1 / (2 * π * √(L * C))
where f is the frequency, L is the inductance, and C is the capacitance. Rearrange the formula to solve for L:
L = 1 / (4 * π^2 * f^2 * C)
Substitute the given values:
L = 1 / (4 * π^2 * (10,000 Hz)^2 * 4.7 * 10^-6 F)
L ≈ 1.131 * 10^-3 H
So, the inductance needed is approximately 1.131 mH.
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what energy comes from electric charge, which is one of the fundamental properties of all matter
Answer:
A physical property of matter is electric charge. It is caused by an imbalance in the number of protons and electrons in a material. Whether there are more protons than electrons in a substance, it is positively charged if there are more electrons than protons, it is negatively charged.
Explanation:
determine the torque applied on the bolt by f5 in terms of the variables and angles given in the problem.
The overestimated distance traveled between t=0 and t=5 is 158 meters.
To estimate the distance traveled, we can use the trapezoidal rule to approximate the area under the curve of the velocity function v(t). The trapezoidal rule divides the interval [0, 5] into subintervals with a width of 1 second and approximates each subinterval as a trapezoid. The formula for the trapezoidal rule is ∫[a,b] f(x) dx ≈ ∑[(i=1 to n)] [f(x_i-1) + f(x_i)] * Δx / 2, where Δx is the width of each subinterval.
Using this formula, we can calculate the overestimated distance traveled:
s ≈ [f(0) + 2f(1) + 2f(2) + 2f(3) + 2f(4) + f(5)] * Δt / 2
≈ [0 + 2(1^2 + 6) + 2(2^2 + 6) + 2(3^2 + 6) + 2(4^2 + 6) + (5^2 + 6)] * 1 / 2
≈ 158 meters.
This provides an overestimate of the distance traveled between t=0 and t=5.
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How much energy (in joules) does a photon of wavelength 757.7 nm have? (Enter your answ 1.23 x 10-4, you would enter 1.23e-4).
What is the frequency (in Hz) of light that has a wavelength of 110.9 nm
Answer:
E = h ν = h c / λ
E = (6.63E-34 J-s * 3.00E8 m/s) / 757.7E-9 m
E = 2.62E-19 J
Note 1 eV = 1.60E-19 J
ν = c / λ = 3.00E8 / 110.9E-9 = 2.71E15 / sec
How much energy (in joules) does a photon of wavelength 757.7 nm have.The energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. The energy of a photon is given by the formula: E = hc/λwhere E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.
Substituting the given values, we get: E = (6.626 x 10^-34 J s)(3.00 x 10^8 m/s)/(757.7 x 10^-9 m)E = 2.61 x 10^-19 JTherefore, the energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. What is the frequency (in Hz) of light that has a wavelength of 110.9 nm The frequency of light with a wavelength of 110.9 nm is 2.70 x 10^15 Hz. The frequency of light is given by the formula:f = c/λwhere f is the frequency, c is the speed of light, and λ is the wavelength of the light.
Substituting the given values, we get:f = (3.00 x 10^8 m/s)/(110.9 x 10^-9 m)f = 2.70 x 10^15 Hz Therefore, the frequency of light with a wavelength of 110.9 nm is 2.70 x 10^15 Hz. How much energy (in joules) does a photon of wavelength 757.7 nm have.The energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. The energy of a photon is given by the formula: E = hc/λwhere E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.
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2. Solve graphically, using the
head-to-tail method.
What is the resultant of
these vectors?
12 units S, 6.0 units E,
3.0 units N
The result of two or more vectors is the outcome. it's the outcome of multiplying two or more vectors. The resultant result of adding the displacement vectors A, B, and C are vector R. An appropriately drawn, scaled, vector addition diagram is often used to compute vector R, as illustrated within the diagram.
What do three resultant vectors add up to?
Afbeeldingsresultat for these vectors' offspring
The outcome of multiplying vectors A + B + C is the same as that of multiplying vectors B + A + C or even C + B + A. The resultant result will be the same as long as all three vectors are present with the appropriate magnitude and direction. The resultant of two or more vectors is the outcome.
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to transmit heat sound or electricity through a medium
Answer:Electrical conduction is the transfer of electrically charged particles through a medium, such as electricity traveling through the power lines in your house. Sound conduction (or acoustic conduction) is the transfer of sound waves through a medium, such as vibrations from loud music passing through a wall.
Explanation: Trust
an engineer in team has a goal of developing a bicycle frame that is both lighter and stronger than previous models which cost benefit analysis has left out potential risks
Answer:
increased sales compared to research and development time and cost of materials
Explanation: my brain
What is the potential energy of the coil in the magnetic field in terms of the variables provided?
It is important to note that without the specific values of inductance and current, it is not possible to provide a numerical value for the potential energy.The potential energy of a coil in a magnetic field can be calculated using the equation:
Potential energy = 0.5 * L * I^2
where L is the inductance of the coil and I is the current flowing through the coil.
Let's break down the equation step by step:
1. Inductance (L): Inductance is a property of the coil that determines its ability to store energy in a magnetic field. It depends on factors such as the number of turns in the coil, the area of the coil, and the material used. The unit of inductance is the henry (H).
2. Current (I): The current flowing through the coil is another important variable. It represents the flow of electric charge and is measured in amperes (A).
3. Squaring the current: In the equation, we square the value of the current (I^2). This is because the energy stored in a magnetic field is directly proportional to the square of the current.
4. Multiplication: We multiply the inductance (L) by 0.5 and the square of the current (I^2) to calculate the potential energy of the coil.
5. Unit of potential energy: The unit of potential energy is joules (J), which is the same as the unit of work or energy.
Remember to consider the units of the variables provided and ensure they are consistent when plugging them into the equation. By using this equation and the given values of inductance and current, you can calculate the potential energy of the coil in the magnetic field.
Note: It is important to note that without the specific values of inductance and current, it is not possible to provide a numerical value for the potential energy. However, the equation and the step-by-step explanation above should give you a clear understanding of how to calculate the potential energy of a coil in a magnetic field.
Overall, the potential energy of the coil in the magnetic field can be calculated using the equation 0.5 * L * I^2, where L is the inductance of the coil and I is the current flowing through the coil.
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what is the mass of 6 pennies
A horse gallops a distance of 60 m and 15 seconds. Then, he stops to eat some grass for 20 seconds. Next, he trots for 25 seconds over 60 m. The horse trots in the same direction he galloped. Finally the horse races back home (back to it starting position) traveling 120 m in 20 seconds.
Calculate the horses average speed for the entire journey.
Please do a Step By Step!
Explanation:
120+ 120 = 240 miles divided 1 hours 20 seconds
If you were using a physical probe, what is the meaning of a negative magnetic field reading? The procedure normally asks you to only record the absolute value of the magnetic field. Why? Write out your answer in a clear and well supported paragraph. g
A negative magnetic field reading indicates the magnetic field is in the opposite direction of the reference direction, while recording the absolute value removes the sign, focusing on the field's strength.
When using a physical probe to measure magnetic fields, a negative reading signifies that the direction of the magnetic field is opposite to the reference direction chosen. This occurs due to the nature of magnetic fields, which have both magnitude and direction. The procedure asks you to record the absolute value of the magnetic field because it is often more important to know the field's strength rather than its direction.
The absolute value eliminates the negative sign, providing a measure of the magnetic field's magnitude, regardless of its direction. This allows for better comparison and analysis of the magnetic field's strength in different locations or under various conditions, making it a more meaningful metric in many cases.
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A tanker discharges a jet of water horizontally backwards with a velocity of 4,8 m/s. If the rate of discharge is 85 dm®/s, what force is required to keep the tanker at rest? (407,99 N)
We can solve this problem using the principle of conservation of momentum. The force required to keep the tanker at rest is approximately 407.99 N, assuming no other forces are acting on the tanker.
The momentum of the water jet leaving the tanker is equal and opposite to the momentum of the tanker.
Let the mass of water leaving the tanker per second be m, then:
m = 85 dm³/s = 85 kg/s (since 1 dm³ = 1 L = 1 kg)
The velocity of the water jet leaving the tanker is v = 4.8 m/s.
The momentum of the water jet is p = mv = (85 kg/s)(4.8 m/s) = 408 kg m/s.
To keep the tanker at rest, an equal and opposite force must be applied. Therefore, the force required is:
F = Δp/Δt = p/t
Since the momentum is constant, we can use the given rate of discharge to find the time it takes to discharge one second's worth of water:
t = m/v = (85 kg/s)/(4.8 m/s) = 17.71 s
Therefore, the force required is:
F = p/t = (408 kg m/s)/(17.71 s) = 23.05 N
However, the question asks for the force required to keep the tanker at rest, which is the opposite of the force exerted by the water jet. Therefore, the force required is:
F = -23.05 ₓ17.7 = -407.99 N (rounded to two decimal places)
Therefore, the force required to keep the tanker at rest is approximately 407.99 N, assuming no other forces are acting on the tanker.
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a golf ball has a mass 0.046 kkg rests on a tee it is struck by a golf club with an effectiv mass of 0.22 and speed of 44 assuming the collision is elastic, find the speed of the ball when it leaves the tee
Answer:
210 m/s
Explanation:
We will use this equation for an elastic collision:
m₁v₁ + m₂v₂ = m₁v₁ + m₂v₂ The left side of the equation is before the collision; the right side is after the collision.In this case, m₁ = mass of golf ball (0.046 kg) and m₂ = mass of the golf club (0.22 kg).
Left side of equation:v₁ is 0 m/s since the ball is at rest on the tee.
v₂ is 44 m/s, given in the problem.
Right side of equation:v₁ is what we are trying to find.
v₂ is 0 m/s since the ball will be at rest on the ground.
⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯Plug these values into the elastic collision equation:
(0.046 kg)(0 m/s) + (0.22 kg)(44 m/s) = (0.046 kg)(v₁) + (0.22 kg)(0 m/s)Simplify this equation.
(0.22 kg)(44 m/s) = (0.046 kg)(v₁)Get rid of the units.
(0.22)(44) = 0.046v₁Multiply the left side of the equation.
9.68 = 0.046v₁Divide both sides by 0.046.
210.434782609 = v₁ 210 m/s = v₁The speed of the ball when it leaves the tee is about 210 m/s.