The work done by the given force field for an object moving across a path that is the boundary of the region bounded is 10 JOULE
To find the work done by a force field for an object moving across a path that is the boundary of a region, we can use the following equation:
W = ∫F(r)⋅dr
where W is the work done, F(r) is the force field acting on the object, and r is the position vector of the object. The integral is taken over the path of the object.
In this case, the path of the object is the boundary of the region bounded by the upper semicircle centered at the origin with radius 2 and the x-axis. The orientation of the path is counterclockwise. The force field acting on the object is given by:
F(r) = E
where E is a constant force field.
To find the work done by the force field, we can substitute the form of the force field and the path of the object into the work equation and evaluate the integral:
W = ∫E⋅dr
= ∫10⋅dr
= 10 ∫dr
The path of the object is the boundary of the region bounded by the upper semicircle centered at the origin with radius 2 and the x-axis. We can parameterize this path by expressing the position vector r in terms of a parameter t:
r = xi + yj
where x and y are functions of t and i and j are unit vectors in the x and y directions, respectively.
Substituting the parameterized form of the position vector into the work equation, we get:
W = 10 ∫(xi + yj)⋅dr
= 10
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Explain the relationships you see in your data tables, and whether they agree with Newton’s Second Law of Motion (Fnet=ma).
3rd and 6th row in second table do not agrees with the equation ( Force = mass * acceleration ) , rest follows the equation
There is a relation between force , mass and acceleration of the body , in a such a way that it agrees with newton's third law which is Force = mass * acceleration
All the given data in the table follows this relation except where
mass = 150 kg
a = 0.67 \(m/s^{2}\)
F (given ) = 100 N
calculated force = ma = 150 * 0.67 = 100.5 N
mass = 300 kg
force (given) = 100 N
a = 0.33 \(m/s^{2}\)
calculated force = ma = 300 * 0.33 = 99 N
rest of the data completely follow the equation F = ma
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Explain what is force constant of a spiral spring.
Answer:
The value of spring constant K ( = 4π2/m ) of the helical spring can be calculated from the slope (m) of the straight line graph.
If Earth shrank to a smaller radius but kept the same mass, the gravitational force between Earth and the Moon would Choose one: A. stay the same. B. increase. C. decrease.
stay the same -Gravitational force relies only upon distance and the masses - not their sizes. A shorter Earth (of the same mass) would not exert a different force on the Moon.
What is Gravitational force?
The gravitational force exists as a force that attracts any two objects with mass. We reach the gravitational force attractive because it always attempts to pull masses together, it never makes them apart. In fact, every object, including you, lives pulling on every other object in the whole universe!
The gravitational force on Earth stands equivalent to the force the Earth exerts on you. At rest, on or around the surface of the Earth, the gravitational force equals your weight.
stay the same -Gravitational force relies only upon distance and the masses - not their sizes. A shorter Earth (of the same mass) would not exert a different force on the Moon.
Hence, Option A. staying the same is correct.
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Calculate the mass (in kg) of 54.3 m³ of granite. The density of granite is 2700 kg/m³. (Remember: density = mass / volume)
To determine the mass of granite, we must first understand the definition of density. Density is defined as the amount of matter present in a substance per unit volume.
We use the formula: density = mass/volume to calculate the mass of a substance given its density and volume. To calculate the mass of 54.3 m³ of granite, we use the following steps:
Given Density of granite = 2700 kg/m³Given volume of granite = 54.3 m³Let us substitute the values in the formula of density:density = mass/volume Solving for mass, we get:mass = density × volume Substitute the given values of density and volume into the formula:mass = 2700 kg/m³ × 54.3 m³
The m³ unit in the volume cancels out, leaving us with kg as the unit for mass.
We then solve the equation to get the mass:mass = 146,610 kg
Therefore, the mass of 54.3 m³ of granite is 146,610 kg.
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Question 5: Calculate the average speed of the train as it moves from position x = 70m to x = 55m. What does the sign of the average velocity during this time interval represent?. Question 6: What is the displacement of the train from time t = Os until t = 50s?. Question 7: What is the total distance traveled by the train from time t = Os until t = 50s? Question 8. What is the slope of the line during the time interval t = 45 to t = 50?
Question 5: The average speed of the train as it moves from position x = 70m to x = 55m can be calculated by dividing the total distance traveled by the time taken.
Question 6: The displacement of the train from time t = 0s until t = 50s can be found by subtracting the initial position from the final position.
Question 7: The total distance traveled by the train from time t = 0s until t = 50s can be determined by summing up the magnitudes of all displacements.
Question 8: The slope of the line during the time interval t = 45s to t = 50s represents the velocity of the train during that time interval.
Question 5: To calculate the average speed, we divide the total distance traveled by the time taken. In this case, the total distance traveled is the difference between the initial position x = 70m and the final position x = 55m. The time taken is the duration of the motion.
Question 6: The displacement of the train is the change in its position from time t = 0s to t = 50s. It is given by the difference between the final position and the initial position.
Question 7: The total distance traveled by the train is the sum of the magnitudes of all the displacements during the time interval from t = 0s to t = 50s. This includes both the forward and backward motions.
Question 8: The slope of a line represents the rate of change of the dependent variable with respect to the independent variable. In this case, the line represents the position of the train as a function of time. The slope during the time interval t = 45s to t = 50s represents the velocity of the train during that interval.
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What is a supply chain designed to optimize both forward and reverse flows?
a. open-loop supply chain
b. closed-loop supply chain
c. bullwhip-loop supply chain
d. reverse-loop supply chain
The correct option is b. closed-loop supply chain
Closed-loop supply chain is designed to optimize both forward and reverse flows.
What is closed-loop supply chain?Businesses recycle their waste volume to make new products in such a closed-loop supply chain. This method of resource conservation and energy conservation is sustainable.
Some characteristics of closed-loop supply chain are-
Although there are many natural resources on the planet, such as freshwater and oil, they are limited and will eventually run out. Fortunately, numerous governments all across the world have created and put into effect ways to lessen resource waste.Likewise, companies can contribute to the preservation of natural resources by implementing the closed-loop supply chain (CLSC). The appeal of a CLSC or negligible supply chain is that it centers on material reuse, composting, and recycling. As a result, the closed-loop supply chain encourages manufacturers to come up with creative uses for End-of-Life (EOL) products rather than disposing of them in landfills.To know more about supply chain, here
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You throw a stone upwards from a tower 400 feet high on the moon. Its height after t seconds is h(t)=400+60t−6t^2. At what time t is the velocity 0?
The velocity of the stone is 0 after 5 seconds
We have the function h(t) = 400 + 60t - 6t^2 that gives the height of the stone at time t.
To find the time t at which the velocity is 0, we need to find the derivative of h(t) which will give us the velocity function.
So we have;h(t) = 400 + 60t - 6t^2
h'(t) = 60 - 12t
To find the time t at which the velocity is 0, we solve
h'(t) = 0 for t;
60 - 12t = 0
⇒ 12t = 60
⇒ t = 5 s
Therefore, After 5 seconds, the stone's velocity is 0.
Hence, the answer is "t = 5"
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An object of mass 10 kg is placed on a frictionless incline of 25°. Deduce how many seconds it would take to travel down a 5.0 m incline from rest.
MAIN ANSWER- \(5/\sqrt{21} sec\)
supporting answer-When a body is moving, it experiences resistance because it interacts with its surroundings. This resistance is a friction force. Friction opposes relative motion between systems in contact but also allows us to move, a concept that becomes obvious if you try to walk on ice. Friction is a common yet complex force, and its behavior still not completely understood. Still, it is possible to understand the circumstances in which it behaves.
body of the answer- a block of mass m with 10kgs is sliding on a inclined plane with frictionless surface
final answer- \(5/\sqrt{21} sec\)
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The diagram pictured shows a loop of wire being rotated at a constant rate about an axis in a uniform magnetic field.
Axis of
rotation
N
S
Wire
loop
Which of the following would increase the current induced in the loop of wire ?
decrease the number of loops in the coil of wire
reverse the direction of the batteries
o increase the speed of rotation of the loop of wire
decrease the strength of the magnetic field
a train slows down as it rounds a sharp horizontal turn, going from 82.0 km/h to 52.0 km/h in the 18.0 s that it takes to round the bend. the radius of the curve is 160 m. compute the acceleration at the moment the train speed reaches 52.0 km/h. assume the train continues to slow down at this time at the same rate. magnitude incorrect: your answer is incorrect. your response differs from the correct answer by more than 10%. double check your calculations. m/s2 direction ° backward (behind the radial line pointing inward)
The acceleration at the moment the train speed reaches 52.0 km/h is approximately 2.53 m/s² backward (behind the radial line pointing inward).
To calculate the acceleration of the train, we can use the centripetal acceleration formula:
a = (v_f² - v_i²) / (2r)
where:
a is the acceleration,
v_f is the final velocity,
v_i is the initial velocity,
r is the radius of the curve.
Given that the train slows down from 82.0 km/h to 52.0 km/h, we convert these velocities to m/s:
v_f = 52.0 km/h = (52.0 * 1000) / 3600 = 14.44 m/s
v_i = 82.0 km/h = (82.0 * 1000) / 3600 = 22.78 m/s
The radius of the curve is given as 160 m. Substituting the values into the formula, we can calculate the acceleration:
a = (14.44² - 22.78²) / (2 * 160) ≈ -2.53 m/s²
The negative sign indicates that the acceleration is directed backward, opposite to the radial line pointing inward. This means the train is decelerating or slowing down as it rounds the curve. The magnitude of the acceleration is 2.53 m/s².
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A car drives in a circle at 56 km/hr. Which of
the following accurately describes the
motion of the car? The car's -
speed and velocity are both constant.
velocity is constant but speed is changing.
speed is constant but velocity is changing.
speed and velocity are both changing.
Answer:
Speed is constant but velocity is changing
Explanation:
Speed is a scalar quantity, meaning magnitude only. Velocity is a vector quantity, meaning magnitude and direction. If you're moving in a circle at a constant speed, the speed is constant but the direction is constantly changing. Therefore, the speed is constant but velocity changes.
Which of the following is NOT considered electromagnetic radiation? x-rays radio waves cosmic rays ultraviolet light
Answer:
Cosmic ray is not considered electromagnetic radiation.
Explanation:
Electromagnetic radiation refers to
It is Radiation that has both electric and magnetic fields and travels in waves.Electromagnetic radiation can vary in strength from low energy to high energy.X rays are the rays produced when a negatively charged electrode is heated by electricity and electrons are released, thereby producing energy. It is a type of radiation called EM waves.
Radio wave are wave from the portion of the electromagnetic spectrum at lower frequencies than microwaves. It is an EM wave.
Ultraviolet wave Invisible rays that are part of the energy that comes from the sun. It is an example of EM wave.
Cosmic ray is a high-speed particle either an atomic nucleus or an electron that travels through space.
Cosmic ray is not an electromagnetic wave.
Hence
Cosmic ray is not considered electromagnetic radiation
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why do we need to follow the suggested activities given in the philippines physical activity guided (PPAP)
The PPAG recommends a variety of physical activities, such as aerobic exercises, muscle-strengthening exercises, and flexibility exercises. It also includes recommendations for the frequency, intensity, and duration of physical activity for various age groups and skill levels.
Individuals can ensure that they are getting the right amount and type of physical activity for their health and well-being by following these guidelines.
The Philippines Physical Activity Guidelines (PPAG) provide evidence-based physical activity recommendations to improve health and well-being. Following the PPAG's suggested activities can provide numerous benefits, including:
Improving overall health: Physical activity is linked to a lower risk of chronic diseases like heart disease, stroke, diabetes, and certain types of cancer. It can also aid in the management of chronic conditions like high blood pressure, high cholesterol, and obesity.
Physical activity has been shown to reduce symptoms of depression and anxiety, as well as improve overall mood and emotional well-being.
Improving physical function: Regular physical activity can help improve strength, flexibility, balance, and coordination, lowering the risk of falls and improving overall physical function.
Physical activity is an important component of a healthy weight management plan because it helps burn calories and maintain muscle mass.
Increasing social connections: Physical activities can provide opportunities to connect with others and build social support networks.
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If a tsunami is travelling at 970 km/h with a wavelength of 450 km, what is the frequency of the wave
Answer:
Frequency of wave = 2.16 Hz (Approx)
Explanation:
Given:
Speed of tsunami = 970 km/h
Wavelength = 450 km
Find:
Frequency of wave
Computation:
Frequency = Speed / Wavelength
Frequency of wave = Speed of tsunami / Wavelength
Frequency of wave = 970 / 450
Frequency of wave = 2.16 Hz (Approx)
What is the current in a 160V circuit if the resistance is 10Ω?
Hello!!
For this, use the formula:
\(\boxed{I=V/R}\)
\(\textbf{Being:}\)
\(\sqrt{}\) \(I = Current = ?\)
\(\sqrt{}\) \(V = Voltage = 160 \ V\)
\(\sqrt{}\) \(R = Resistance = 10\ \varOmega\)
\(\textbf{If we replace and resolve it}\)
\(I = 160\ V / 10\ \varOmega\)
\(I = 16\ A\)
\(\text{The current of that circuit is \textbf{16 Amperes}}\)
Does applying force on a body mean that it has to become faster or
slower?? Explain on the basis of circular motion
Answer:
it means it will become faster because more force are applied. This means that if you get pushed, the harder you are pushed, the faster you'll move (accelerate). The bigger you are, the slower you'll move.
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Beko and Dila race to the top of the stairs. Compare Beko and Dila's power. 60 kg He takes 12 seconds Dila Beko 50 kg (9) He takes 10 seconds 20 m
The ratio of power of Beko and Dila are in the ratio of 1:1. The power of both of them are equal.
What is Power?Power is the amount of energy which is transferred or converted per unit time. The SI unit of power is the watt (W), which is equal to one joule per second. In older works, power is sometimes also called as activity.
P ∝ m/t
P₁ = 60/ 12
P₂ = 50/ 10
P₁/ P₂ = 5/ 5
The ratio of the powers of Beko and Dila is 1. This mean that the power of both of these people are equal.
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Find the voltage of a telephone circuit that draws 0.017amperes through a resistance of
15,000 ohms?
A point 017 into 15000 is 55 volts. that we may write. Voltage is therefore applied as a result. It has a 250 volt voltage.
What is the meaning of voltage?Voltage is the pressure from the power source of an electrical circuit that drives charged electrons (current) across a conducting loop, allowing them to perform tasks like lighting a lamp. Briefly stated, voltage equals pressure and is measured in volts.
Why is it called voltage?Electric potential, voltage, & electromotive force are all denoted by the volt (symbol: V). The volt was created by the Italian scientist Alessandro Marsala (1745–1827), who may have created the first electrochemical battery with the voltaic pile.
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if you know the amplitude of a wave, you know the distance from?
Answer:
As waves travel, they set up patterns of disturbance. The amplitude of a wave is its maximum disturbance from rest (its undisturbed position). It is important to note that the amplitude is not the distance between the top and bottom of a wave but is always measured from the rest position. This is a common exam mistake.
Explanation:
the best defensive driving technique for windy conditions is driving _____________.
One of the best defensive driving techniques for windy conditions is driving with both hands on the steering wheel.
When driving in windy conditions, it is essential to take some safety precautions to avoid accidents and maintain control over the vehicle. A vehicle's stability and safety depend on the driver's ability to control it, especially in extreme weather conditions. Driving with both hands on the steering wheel is the most recommended defensive driving technique to stay in control of the vehicle during windy conditions. Besides driving with both hands on the steering wheel, it's essential to maintain a slow and steady speed, pay attention to the wind direction, and stay focused on the road. The strong wind can cause vehicles to drift, sway, or even flip, so it's necessary to keep a safe distance from other vehicles, especially large trucks or buses. When driving on a windy day, it's crucial to remain calm and avoid panic. Sudden movements and reactions can cause the driver to lose control of the vehicle, which could result in a severe accident. Therefore, it's best to stay alert, keep both hands on the steering wheel, and maintain a slow and steady speed to stay safe in windy conditions.
In conclusion, the best defensive driving technique for windy conditions is driving with both hands on the steering wheel, maintaining a slow and steady speed, and keeping a safe distance from other vehicles. Stay focused, stay calm, and stay safe. The answer to the question is: driving with both hands on the steering wheel.
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how can the conductivity of a semiconductor be increased?
Examine the Porter's 5 forces and explain how the forces are interconnected? Use examples to explain your answers. No less than 100 words
Porter's Five Forces is a framework used to analyze the competitive intensity and attractiveness of an industry. The five forces are: Threat of New Entrants, Bargaining Power of Suppliers, Bargaining Power of Buyers, Threat of Substitute Products or Services and Intensity of Competitive Rivalry.
Threat of New Entrants: This force considers the ease or difficulty for new competitors to enter an industry. It includes barriers to entry such as high capital requirements, economies of scale, brand loyalty, and government regulations.
Example: The airline industry is known for its high barriers to entry due to the significant capital required to purchase aircraft, establish routes, and secure necessary licenses and permits. Additionally, established airlines often have loyal customer bases and strong brand recognition, making it challenging for new entrants to compete effectively.
Bargaining Power of Suppliers: This force assesses the power suppliers have over the industry in terms of pricing, quality, and availability of inputs. It considers factors such as the concentration of suppliers, uniqueness of their products, and their ability to forward integrate.
Example: In the smartphone industry, major suppliers of components like microchips and display screens hold significant bargaining power. These suppliers provide essential inputs, and their products may have limited alternatives or require specialized manufacturing processes. As a result, smartphone manufacturers must negotiate favorable terms with these suppliers to ensure a reliable supply chain and competitive pricing.
Bargaining Power of Buyers: This force examines the power customers have in influencing prices, demanding better quality or service, and potentially switching to alternative products or suppliers. It considers factors such as buyer concentration, product differentiation, and switching costs.
Example: The retail industry experiences strong buyer power, particularly in highly competitive markets. Customers have access to various options, and their ability to compare prices and products easily through online platforms empowers them to demand competitive pricing, promotions, and high-quality products and services.
Threat of Substitute Products or Services: This force looks at the availability of alternative products or services that can satisfy customer needs. It considers factors such as price-performance trade-offs, switching costs, and customer loyalty.
Example: The rise of streaming services such as Netflix, Amazon Prime Video, and Hulu posed a significant threat to traditional cable and satellite TV providers. These streaming platforms offer a wide range of content at competitive prices, allowing customers to switch from traditional TV services to streaming options, resulting in a decline in subscriber numbers for traditional providers.
Intensity of Competitive Rivalry: This force evaluates the level of competition among existing firms in the industry. It considers factors such as the number and size of competitors, industry growth rate, product differentiation, and exit barriers.
Example: The soft drink industry, dominated by major players like Coca-Cola and PepsiCo, experiences intense competitive rivalry. These companies fiercely compete for market share through advertising campaigns, new product launches, pricing strategies, and distribution channels. The rivalry is further intensified by the high market saturation and the limited scope for differentiation among similar products.
The interconnection of these forces lies in their collective influence on the competitive dynamics and profitability of an industry. Changes in one force can trigger a chain reaction that impacts the others. For instance, a high threat of new entrants may lead to increased competitive rivalry as existing firms strive to defend their market share. Similarly, a strong bargaining power of buyers can limit the pricing power of suppliers and impact their profitability. Understanding these interconnections helps businesses assess the overall attractiveness and competitive landscape of an industry and develop appropriate strategies to thrive within it.
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An uncharged capacitor and a resistor are connected in series to a source of emf. If e m f = 10.0 V, C = 17.0 µF, and R = 100 Ω, find the following.
(a) the time constant of the circuit
(b) the maximum charge on the capacitor
(c) the charge on the capacitor at a time equal to one time constant after the battery is connected
A) The time constant of the circuit is 1.7 milliseconds. B) The maximum charge on the capacitor is 170 microcoulombs. C) The charge on the capacitor at a time equal to one time constant after the battery is connected is 87.4 microcoulombs.
The time constant of the circuit, denoted by the Greek letter tau (τ), is given by: τ = RC Substituting the given values, we have: τ = (100 Ω) x (17.0 µF) = 1.7 ms The maximum charge on the capacitor, denoted by Q max, is given by: Q max = CV
where C is the capacitance of the capacitor and V is the voltage across the capacitor. Since the capacitor is uncharged initially, V is equal to the emf of the source, which is 10.0 V. Substituting the given value of C, we have: Q_max = (17.0 µF) x (10.0 V) = 170 µC
The charge on the capacitor at a time equal to one time constant after the battery is connected, denoted by Q(τ), is given by: \(Q(τ) = Q_max x (1 - e^(-τ/RC))\) Substituting the given values of Qmax, τ, R, and C, we have:
\(Q(τ) = (170 µC) x (1 - e^(-1)) = 87.4 µC.\) Therefore, the charge on the capacitor at a time equal to one time constant after the battery is connected is 87.4 microcoulombs.
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A 0.15 kg baseball is dropped from a height of 10.0 meters and falls through the air to the ground. The kinetic energy of the ball is 12.0 joules the instant before the ball strikes the ground.
How much energy was lost due to external work done by air resistance/friction?
The amount of energy lost due to external work done by air resistance/friction is 0.13515 kJ.
When a 0.1 kg object is thrown from a height of 10 m, what happens?Before the body hits the earth, it has a kinetic energy of 9.8 joules. Solution, The conservation of energy causes the body's potential energy at height h to be transformed into kinetic energy during contact.
The baseball's combined potential and initial kinetic energies add up to its entire mechanical energy before it is dropped:
Ei = mgh + 0.5mv²
Plugging in the given values, we have:
Ei = (0.15 kg)(9.81 m/s²)(10.0 m) + 0.5(0.15 kg)(0 m/s)²
= 0.14715 kJ
The baseball's kinetic energy and final mechanical energy are equal before it strikes the ground:
Ef = 0.5mv²
where v denotes the baseball's final speed just before it strikes the ground.
By plugging in the specified kinetic energy number, we obtain:
Ef = 0.5mv² = 12.0 J
Solving for v, we have:
v = sqrt(2Ef/m) = sqrt(2(12.0 J)/(0.15 kg)) = 7.75 m/s
Utilizing the work-energy concept, we can determine the work generated by air resistance and friction.
W = Ef - Ei = 12.0 J - 0.14715 kJ
= -0.13515 kJ
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differences between fundamental unit and derived unit (any two)
Answer:
Fundamental units are the units of the fundamental physical quantities in SI system. They are not formed from other units. There are a total of seven fundamental units such as meter, kilogram, ampere, and second. Derived units are those units that are used for derived quantities.
Explanation:
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The ____ is a line drawn at a right angle to a barrier. a. normal c. node b. ray d. wave front
Answer:
a. normal
Explanation:
In the field of physics the normal is a line drawn at a right angle to a barrier. In other words the normal line is the line that is drawn perpendicular (right angle, 90 degrees) to the reflective surface of a mirror, or the particular boundary in which refraction occurs at the point of incidence of a light ray. This can be seen in the picture attached below.
what is the work done in lifting an object called
The tail of a comet always points Select one: a. in the direction of the comet's motion. b. away from the Sun and becomes longest and brightest at perihelion. c. toward the Sun and disappears at perihelion. d. away from the Sun and disappears at perihelion. e. toward Earth and never varies.
sound and waves plz help
Answer:
A. f = 8 Hz
B. T = 0.125 s
C. λ = 0.0166 m = 16.6 mm
D. d = 7.98 m
Explanation:
A.
The frequency of the wave can be given as:
\(f = \frac{n.\ of\ waves}{time}\\\\f = \frac{360}{45\ s}\\\)
f = 8 Hz
B.
The time period will be:
\(T = \frac{1}{f}\\\\T = \frac{1}{8\ Hz}\\\)
T = 0.125 s
C.
The wavelength is given as:
\(\lambda = \frac{c}{f}\\\\\lambda = \frac{0.133\ m/s}{8\ Hz}\)
λ = 0.0166 m = 16.6 mm
D.
The distance traveled in 1 minute can be found out as follows:
\(c = \frac{d}{t}\\\\d = c\ t\\d = (0.133\ m/s)(60\ s)\)
d = 7.98 m
You see a plane directly overhead at 1622 m.3.51 seconds later, you hear the sonic boom. The speed of sound is 344
s
m
How fast is the plane traveling? Round your answer to 2 decimal places.
s
m
What is the Mach Number for the plane? Round your answer to 2 decimal places.
The Mach number for the plane is approximately 3.51.
To find the speed of the plane, we can use the equation:
Speed of sound = Speed of the plane / Time taken
Given: Speed of sound (v) = 344 m/s
Time taken (t) = 3.51 seconds
Let's calculate the speed of the plane:
Speed of plane = Speed of sound × Time taken
Speed of plane =\(344 m/s * 3.51 s\)
Speed of plane ≈ 1206.44 m/s
Rounded to 2 decimal places, the speed of the plane is approximately 1206.44 m/s.
To find the Mach number of the plane, we need to divide the speed of the plane by the speed of sound:
Mach number = Speed of plane / Speed of sound
Mach number ≈ \(1206.44 m/s / 344 m/s\)
Mach number ≈ 3.51
Rounded to 2 decimal places, the Mach number for the plane is approximately 3.51.
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