Answer:
Vibrating objects produce sound waves from pressure waves.
Explanation:
The sound produced is transmitted through pressure waves within the object. The object vibrating back and forth rapidly pushes air foward to make way for itself. When a force is officially applied on an atom, it continues to move from its original position and exerts a force on the adjacent atom.
An LRC ac series circuit has R-15 Ω, L-25 mH, and C-30 μF. The circuit is connected to a 120-V (rms) ac source with frequency 200 Hz. (a) What is the average power dissipated by the circuit? (b) What is the power factor for the circuit?
part a.
the average power dissipated by the circuit is 960 W.
part b.
the power factor for the circuit is 0.95.
What is power?Power is described as the amount of energy transferred or converted per unit time.
impedance Z = √(R² + (XL - XC)²
R = resistance,
XL= inductive reactance
XC = capacitive reactance.
XL = 2πfL = 2π(200 Hz)(25 mH) = 31.42 Ω
XC = 1/(2πfC) = 1/(2π * (200 Hz) * (30 μF)) = 26.53 Ω
Z = √(15² + (31.42 - 26.53)²) = 25.08 Ω
(a) The average power
P = V² / R
P = (120 V)² / 15 Ω
P= 960 W
(b) The power factor of the circuit :
PF = cos(θ) = R / Z
θ = phase angle
tan(θ) = (XL - XC) / R
θ = \(tan^{-1}\) ((XL - XC) / R)
θ =\(tan^{-1}\) ((31.42 - 26.53) / 15)
θ = 18.19°
power factor = cos(18.19°) = 0.95
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Imagine that person B is more massive than person A in the picture above. 3 points
If they push off of each other with the same amount of force, who will
have the greater acceleration? What law are you applying? Explain how
that law is being applied."
Answer:bight
Explanation:
15 centimeters 4 millimeters=
Answer:
what to do with that, I can't answer it
two kids are on a seesaw that is 4m long. if the one boy has a mass of 50kg and the other is 30kg. how far from the center should the bigger boy sit if the smaller one is 3.5 m from the far end of the seesaw?
Two kids are on a seesaw that is 4m long. if the one boy has a mass of 50kg and the other is 30kg. The bigger boy should sit 1.04 meters from the center if the smaller one is 3.5 m from the far end of the seesaw.
Let the bigger boy sit at x meters from the center.
Now, we can say that the smaller boy sits at (4 - 3.5) = 0.5 meters from the center.
The principle of moments states that the sum of moments acting on an object is equal to zero.
Hence, we can say that
(50)(x) = (30)(0.5) (4 - x)
Simplifying the above equation, we get:
50x = 60 - 7.5x
57.5x = 60
x = 60 / 57.5
x ≈ 1.04 meters
Hence, the bigger boy should sit 1.04 meters from the center.
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The Sun is composed entirely of oxygen and helium.
True
False
(for astronomy)
Answer:
It's true.
And this makes the state of the sun to be "plasma"
Answer: It is False.
Explanation: I am on my final test for Astronomy. And I study really hard and I know its the right answer.
A student attaches a rope to a box and pulls the box up a ramp as shown below. The ramp has a rough surface. When
drawing the free body diagram for the box, the friction force should be directed:
O up and to the right
down and to the left
up and to the left
to the left
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Calculate the gravitational potential energy of a 95 kg rock at the top of a 45 m cliff. The acceleration due to gravity is 9.8 m/s.
Answer:
41895 J
Explanation:
GPE= mgh
m=95
g=9.8
h=45
95*9.8*45
The gravitational potential energy of the rock at the top of the cliff is 41895 Joules.
What is gravitational potential energy?Gravitational potential energy is simply the potential energy an object possessse in relation to another object due to gravity.
It is expressed as;
U = mgh
Given the data in the question;
Mass m = 95kgHeight h = 45mAcceleration due to gravity g = 9.8 m/s²We substitute our values into the expression above.
U = mgh
U = 95kg × 9.8m/s² × 45m
U = 41895kgm²/s²
U = 41895J
Therefore, the gravitational potential energy of the rock at the top of the cliff is 41895 Joules.
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Help pls sand quickly plssssss
Answer:
The magnet produces an electric current in the wire
Explanation:
Answer: the first one is right
Explanation:
which processes might contribute to the addition of pollutants to rivers, lakes and oceans?how do these processes contribute
Answer:
Explanation:
8. Which process(es) of the water cycle—precipitation, evaporation, condensation, runoff, percolation or transpiration-might contribute to the addition of pollutants to rivers, lakes, and oceans? Why? Precipitation and runoff would be the most responsible processes.
The process that contributes to the addition of pollutants in the lakes and rivers is called the water cycle.
What are pollutants?The pollutant is a substance that has the ability to harm and despite the natural environment and enters the food chain through the runoff from the fields and urban regions.
The pollutant is a chemical that creates an undersized effect on the living being. The water cycle is known to speed the pollutant as water carries with it wastes that can affects larger water bodies.
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light will undergo total internal reflection only when it is
Total internal reflection occurs when a light ray hits a surface with a high refractive index at an angle larger than the critical angle. Thus, light will undergo total internal reflection only when it is refracted from a dense medium to a less dense medium at an angle greater than the critical angle.
The total internal reflection is when light waves are reflected back inside a medium instead of passing through it. The phenomenon occurs when the incident angle is greater than the critical angle that is required for the medium. Total internal reflection happens due to the changing of the speed of light when moving from one medium to another.
When a light ray goes from a more dense medium to a less dense one, it bends away from the normal, which is perpendicular to the surface. If the angle of incidence is too large, the ray never goes into the other medium but instead is reflected off the surface of the denser medium back into the original medium. This is referred to as total internal reflection.
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Why does An apple, potato, and onion all taste the same if you eat them with your nose plugged
what centripetal acceleration is needed to keep a 1 kg ball moving in a circle of radius 2 m at a speed of 5 m/s
We will have the following:
First, we know that the centripetal acceleration is given by:
\(a_c=\frac{v^2}{r}\)So, the centripetal acceleration is:
\(a_c=\frac{(5m/s)^2}{(2m)}\Rightarrow a_c=\frac{25}{2}m/s^2\)\(\Rightarrow a_c=12.5m/s^2^{}\)
set up the experiment as follows:
1. make a small hole in the cardboard. it should be 4 inch from one edge and centered.
2. pull the string or thread through the hole in the cardboard, and tie the ends together to form a loop.
3. slide a large paperclip onto the string, and bend one end out slightly to act as a hook.
4. place a nonbreakable object, such as a kitchen utensil, on the cardboard.
5. select two nonbreakable objects with holes that can be hung on the hook.
what two objects will you select to hang on the hook?
The two objects that I would select to hang on the hook are scissors and stainless-steel cup.
The concept of Balanced ForcesForce symmetry
Balanced forces are those that have opposing directions and equal sizes. One definition of equilibrium is a state of balanced forces.
When the forces are in balance, there is no change in direction.
The sum of balanced forces is always zero. Merging vectors
The momentum or direction of an object cannot be changed by balance forces.
A balanced force keeps an object moving at a steady speed. (Newton’s First Law of Motion)
The Concept of unbalanced forcesAsymmetry of forces
Forces that are not equal in size and differ in direction, always set something moving. (Can alter an object’s direction or speed)
The combined force is equal to the difference between two unbalanced forces acting in opposing directions.
The combined force is equal to the sum of the two unbalanced forces acting in the same direction.
The net force is equal to the resultant when the forces are at right angles.
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Answer:
Explanation:
The two objects that I would select to hang on the hook are scissors and stainless-steel cup.
The concept of Balanced Forces
Force symmetry
Balanced forces are those that have opposing directions and equal sizes. One definition of equilibrium is a state of balanced forces.
When the forces are in balance, there is no change in direction.
The sum of balanced forces is always zero. Merging vectors
The momentum or direction of an object cannot be changed by balance forces.
A balanced force keeps an object moving at a steady speed. (Newton’s First Law of Motion)
The Concept of unbalanced forces
Asymmetry of forces
Forces that are not equal in size and differ in direction, always set something moving. (Can alter an object’s direction or speed)
The combined force is equal to the difference between two unbalanced forces acting in opposing directions.
The combined force is equal to the sum of the two unbalanced forces acting in the same direction.
The net force is equal to the resultant when the forces are at right angles.
Express 48 m/s in terms of
1.km/h
2.m/min
3.km/s
4.km/minutes
48 m/s in terms of km/h is 720.8 km/h. In terms of m/min is 2880 m/min, in terms of km/s is 0.048 km/s and in terms of km/min is 2.88 km/min.
To solve this question, we need to understand some terms. The unit of velocity is measured in m/s. It can be expressed in different units of velocity.
1 km (kilometer) = 1000 meter
1 h (hour) = 3600 seconds
1 minutes = 60 seconds
To convert m/s into km/h,
48 m/s * 3600/1000 = 172.8 km/h
To convert m/s into m/min,
48 m/s * 60 = 2880 m/min
To convert m/s into km/s,
48 m/s ÷ 1000 = 0.048 km/s
To convert m/s into km/minutes,
48 m/s * 60 / 1000 = 2.88 km/min
Therefore, the 48 m/s expressed is 172.8 km/h, 2880 m/min, 0.048 km/s and 2.88 km/min.
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48 m/s is equivalent to 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.
To express 48 m/s in different units of velocity:
km/h (kilometers per hour):
To convert m/s to km/h, we can use the conversion factor of 3.6 since 1 m/s is equal to 3.6 km/h.
48 m/s * (3.6 km/h / 1 m/s) = 172.8 km/h
Therefore, 48 m/s is equivalent to 172.8 km/h.
m/min (meters per minute):
To convert m/s to m/min, we can use the conversion factor of 60 since there are 60 seconds in a minute.
48 m/s * (60 m/min / 1 s) = 2880 m/min
Therefore, 48 m/s is equivalent to 2880 m/min.
km/s (kilometers per second):
Since 1 kilometer is equal to 1000 meters, to convert m/s to km/s, we divide the value by 1000.
48 m/s / 1000 = 0.048 km/s
Therefore, 48 m/s is equivalent to 0.048 km/s.
km/minute (kilometers per minute):
To convert m/s to km/minute, we first need to convert m/s to km/s (as calculated in the previous step) and then multiply by 60 to convert seconds to minutes.
0.048 km/s * 60 = 2.88 km/minute
So, 48 m/s is equivalent to 2.88 km/minute.
Hence, 48 m/s is equivalent to approximately 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.
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What is the centripetal force on a car with a mass of 1,500 kg that is traveling in a circle with a radius of 19 m at a tangential velocity of 5 m/s?
The centripetal force on the car with a mass of 1500 kg is 1973.7N.
What is centripetal force?A centripetal force is a force that makes a body follow a curved path.
To calculate the centripetal force on a car, we use the formula below.
Formula:
F = mv²/r.............. Equation 1Where:
F = Centripetal forcem = Mass of the carr = radius of the circlev = Velocity of the car.Where:
m = 1500 kgv = 5 m/sr = 19 mSubstitute these values into equation 1
F = (1500×5²)/19F = 1973.7NHence, the centripetal force on the car is 1973.7N.
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sekazi is learning to ride a bike without training wheels. his father pushes him with a constant acceleration of 0.50 m/s2 for 6.0 s, and then sekazi continues at 3.0 m/s for another 6.0 s before falling. what is sekazi’s displacement?
we can state that Sekazi's displacement while learning to ride a bike without training wheels is 22.5 meters.
To find Sekazi's displacement, we can break down the problem into two parts: the time Sekazi's father pushes him and the time Sekazi continues on his own.
First, let's calculate the displacement when Sekazi's father pushes him.
We know that the acceleration is constant at 0.50 m/s² for 6.0 seconds. To find the displacement during this time, we can use the equation:
displacement = (initial velocity × time) + (0.5 × acceleration × time²)
Since Sekazi starts from rest, the initial velocity is 0 m/s. Plugging in the values, we get:
displacement = (0 × 6.0) + (0.5 × 0.50 × 6.0²)
displacement = 0 + (0.5 × 0.50 × 36.0)
displacement = 0 + (0.5 × 0.25 × 36.0)
displacement = 0 + (0.125 × 36.0)
displacement = 0 + 4.5
displacement = 4.5 meters
Now, let's calculate the displacement when Sekazi continues on his own at a constant velocity of 3.0 m/s for 6.0 seconds. Since the velocity is constant, the acceleration is 0. Using the equation:
displacement = (initial velocity × time) + (0.5 × acceleration × time²)
We know that Sekazi's initial velocity is 3.0 m/s and the time is 6.0 seconds. Plugging in the values, we get:
displacement = (3.0 × 6.0) + (0.5 × 0 × 6.0²)
displacement = 18.0 + (0 × 36.0)
displacement = 18.0 + 0
displacement = 18.0 meters
To find the total displacement, we add the displacement when Sekazi's father pushes him (4.5 meters) to the displacement when Sekazi continues on his own (18.0 meters):
total displacement = 4.5 + 18.0
total displacement = 22.5 meters
Therefore, Sekazi's displacement is 22.5 meters.
With the proper conclusion, we can state that Sekazi's displacement while learning to ride a bike without training wheels is 22.5 meters.
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assuming that the candle remains at a distance do from the mirror (the same distance found in part b), at what distance di from the mirror will its image form now?
The distance di from the mirror where the image of the candle will form now is 40/3 cm.
The distance of the image of a candle placed at a distance from the mirror can be calculated using the mirror formula. The formula for a concave mirror is given by:
1/f = 1/v + 1/u,
where, f is the focal length of the mirror
u is the distance of the object from the mirror
di is the distance of the image from the mirror
In this problem, the object is the candle and it is placed at a distance do from the mirror. The image will be formed at a distance di from the mirror. Since the candle is still at a distance do from the mirror, the distance of the object u remains the same.
Using the mirror formula and substituting the given values, we get:
1/f = 1/v + 1/u
Where, f = -20 cm (negative because it is a concave mirror)
u = do = 40 cm (same as part b)
We need to find di.
Substituting the values in the mirror formula, we get:
1/-20 = 1/di + 1/40
Solving for di, we get:
di = 40/3 cm
Therefore, the distance di from the mirror where the image of the candle will form now is 40/3 cm.
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A crane lifts a 75kg mass a height of 8 m. Calculate the gravitational potential energy gained by the mass (g = 9.8 N/kg.
1.What is light?
2.How light is being measured?
3.How light is being produced naturally and artificially?
4.How light is being detected?
5.What is the difference between light and ambient?
6.What are the modes of light sensors? Explain each.
Answer:
1. light is electromagnetic radiation within the portion of electromagnetic spectrum that is perceived by the human eye.
2. it's measured in footcandles or lux- it is the amount of light (lumens) falling on a Surface (over any given square foot or square meter). therefore, light intensity is measured in terms of lumens per square foot (footcandles) or lumens per square meter (lux).
3. natural light,, which produces heat and color comes from the radiation given off by the sun. It is then filtered through the Earth's atmosphere and absorbed by plants. Artificial light sources can consist of a filament that uses electricity or halogen gas to go or an electronic device that emits light.
4. most of our conscious vision stem from photoreceptors in the retina, the light-sensitive layer at the back of our eyeball. In animals with backbones (vertebrates) cells that detect light for vision are vaguely shaped like rods or cones giving them their familiar names.
5. there is a difference between ambient and task lighting. task lighting provides focus light so you can see better perform a certain task. while ambient fixtures offer general lighting for your home, distribute light evenly as well as helps create a mood.
6. what are the types of light sensors
• photoresistors (LDR)
• photodiode (how they look like)
• phototransistors
Explanation:
I hope this helped, I'm so sorry if it didn't .
When a hot object makes a cold object warmer what is it called
The process by which we detect physical energy from our environment and send the information to our brain is called __________.
The sensation is the mechanism by which we pick up physical energy from our surroundings and communicate it to our brains.
What procedure do we use to find physical energy?The process through which humans recognize environmental physical energy and encode it as brain signals is referred to as sensation. In this chapter, the senses of sight, hearing, taste, touch, smell, kinesthesis, and vestibular perception are discussed. Additionally, it displays the results of investigations on subliminal activation.
Where in the brain does sensory information get processed?The parieto-occipital sulcus, which is located behind the central sulcus, divides the parietal lobe from the occipital lobe. It houses the somatosensory cortex and is in charge of processing sensory data.
In what sense is the primary source of data for the brain?Sight. More than any other sense, a sight most likely reveals a lot about the world to us. On the retina, light that enters the eye creates an upside-down image. The retina converts light into nerve signals that the brain can understand.
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If you throw a 0.3kg ball straight up with an initial speed of 39m/s, how fast will it be moving when it’s 21m above the release point?
The question relies on conservation of energy
2 Energy equations:
Kinetic Energy = 1/2mv^2
Gravitational potential energy = mgh
Initial energy = final energy
1/2m(v0)^2 = mgh + 1/2m(vf)^2
Divide mass out to save time
1/2(v0)^2 = gh + 1/2(vf)^2
PLug in what we know:
v0 = 39 m/s
h = 21 meters
1/2(39)^2 = 9.8(21) + 1/2(vf)^2
1/2(39)^2 - 9.8(21) = 1/2(vf)^2
554.7 = 1/2(vf)^2
1109.4 = (vf)^2
vf = 33.3076 m/s
61) What is the efficiency of an ideal Carnot engine operating between a reservoir in which ice and water coexist, and a reservoir in which water and steam coexist? The pressure is constant at 1.0 atm for both reservoirs.
A) 27%
B) 0.27%
C) 100%
D) 1.0%
E) 15%
The efficiency of an ideal Carnot engine operating between a reservoir in which ice and water coexist, and a reservoir in which water and steam coexist is 27%.
The efficiency of an ideal Carnot engine depends only on the temperatures of the two heat reservoirs between which it operates, and is given by the expression: efficiency = 1 - (Tc/Th) where Tc is the temperature of the cold reservoir and Th is the temperature of the hot reservoir. In this case, the cold reservoir is at 0°C (273 K) and the hot reservoir is at 100°C (373 K), the maximum temperature at which water and steam coexist at 1.0 atm pressure. Therefore: efficiency = 1 - (273/373) = 0.267 or 26.7% (approximately).
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The mortality rate of DTs was as high as ___ % before the advent of intensive care modern pharmacotherapy (treatment with pharmacological drugs).
The mortality rate of DTs (delirium tremens) before the advent of intensive care and modern pharmacotherapy was indeed high, reaching as high as 35%. Delirium tremens is a severe form of alcohol withdrawal syndrome that typically occurs in individuals with a history of heavy and prolonged alcohol abuse.
During alcohol withdrawal, the abrupt cessation of alcohol consumption can lead to a variety of symptoms, including tremors, anxiety, agitation, hallucinations, confusion, and autonomic instability. Delirium tremens represents the most severe manifestation of alcohol withdrawal and is characterized by pronounced confusion, hallucinations, severe agitation, and potentially life-threatening physiological disturbances.
In the past, treatment options for delirium tremens were limited, and medical interventions were less advanced. Without access to modern intensive care units and pharmacotherapy, the mortality rate associated with delirium tremens was significantly higher. The lack of effective medications to manage the severe symptoms and complications of delirium tremens contributed to the increased mortality rate.
However, with the development of modern pharmacotherapy and the establishment of specialized intensive care units, the management of delirium tremens has significantly improved. Today, patients experiencing delirium tremens can receive medications such as benzodiazepines, which help control symptoms and prevent complications. Intensive care units provide close monitoring, supportive care, and interventions to stabilize vital signs and manage any associated medical issues.
The introduction of these advancements has led to a substantial reduction in the mortality rate associated with delirium tremens. While the specific mortality rate may vary depending on various factors such as the severity of symptoms, the overall improvement in medical care and treatment options has contributed to better outcomes for individuals experiencing delirium tremens.
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a government restricts the production of a certain chemical. this is an example of a(n) a economic failure. b marketing ploy. c economic incentive. d regulation.
Regulations are rules or laws that wave are set by governments in order to control certain aspects of the economy, such as the production of certain chemicals.
The correct answer is d) regulation.
An explanation of why this is a regulation is that the government is putting a limit on the production of a certain chemical, which is a form of control. This is likely being done to protect public health or the environment, which are both common reasons for government regulations.
A regulation refers to a rule or directive made and maintained by an authority, such as a government, to control or manage certain activities or processes. In this case, the government is imposing restrictions on the production of a specific chemical to ensure safety, environmental protection, or other reasons that serve the public interest.
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the speed an object needs to move away from the gravitational pull of the earth is called what?
The speed an object needs to move away from the gravitational pull of the earth is called escape velocity.
Escape velocity is defined as the minimum speed an object must reach to escape the gravitational pull of a celestial body. For example, the escape velocity from Earth is about 11.2 km/s (or 40,320 km/h or 25,022 mph).
This means that an object needs to reach a speed of at least 11.2 km/s to break free from the Earth's gravitational field and continue traveling into space. If an object does not reach escape velocity, it will either enter into orbit around the celestial body or will be pulled back down to the surface.
The concept of escape velocity is important in space exploration and is used to determine the trajectories of spacecraft and rockets.
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for a class C800 Current Transformer with a ratio of
1000/5 connected to a secondary burden of 100 ohms, how much
primary current would it take to saturate the CT?
No number one cutting-edge is required to saturate the class C800 Current Transformer in this scenario.
To determine the number one present-day required to saturate the class C800 Current Transformer (CT), we need to take into account its saturation traits. Typically, the saturation of a CT happens while the primary contemporary reaches a positive stage that causes the magnetic middle to saturate, ensuing in distorted output waveforms.
In this situation, the CT has a ratio of 100/5, which means that for every 1000Amps of number one contemporary, there could be 5Amps of secondary modern. The secondary burden is given as a hundred ohms.
To calculate the primary current required to saturate the CT, we want to consider the burden impedance, which is contemplated to the primary facet of the CT. The meditated burden impedance is calculated with the use of the turns ratio squared:
Reflected Burden Impedance = (Turns Ratio)² * Burden Impedance
In this example, the contemplated burden impedance is:
Reflected Burden Impedance = (1000/5)² * 100 = 400,000 ohms
Now, the number one modern required to saturate the CT can be determined by applying Ohm's Law:
Primary Current = Voltage / Impedance
Since the CT is connected to a present-day supply, the voltage can be taken into consideration as negligible. Therefore, the number one present-day required to saturate the CT is:
Primary Current = 0/ 400,000 = 0 Amps
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A subatomic particle that has a positive charge and that is located in the nucleus of an atom
Proton
Neutron
Electron
Nucleus
Answer:
c
Explanation:
Answer:
protons have a positive charge
Explanation:
neutrons have no charge
electrons have negative charge
how far is the motorcycle from the car when it reaches this speed?
The motorcycle is approximately 17.97 meters away from the car when it reaches the same speed as the car.
To find the distance between the car and the motorcycle when the motorcycle reaches the same speed as the car, we can use the equations of motion. Let's assume the initial position of both the car and the motorcycle is 0.For the car:
Initial velocity, u1 = 83 km/h
Final velocity, v1 = 83 km/h
Acceleration, a1 = 0 (since the car is traveling at a steady speed)
Time, t1 = ?
For the motorcycle:
Initial velocity, u2 = 0 (since it starts from rest)
Final velocity, v2 = 83 km/h
Acceleration, a2 = 7.4 m/s^2
Time, t2 = ?
Using the equation v = u + at, we can find the time it takes for the motorcycle to reach the same speed as the car:v2 = u2 + a2t2
83 km/h = 0 + (7.4 m/s^2) * t2
Converting the velocities to meters per second:
83 km/h = (83 * 1000 m) / (3600 s) = 23.06 m/s23.06 m/s = 7.4 m/s^2 * t2
t2 = 23.06 m/s / 7.4 m/s^2
t2 ≈ 3.12 seconds
Now, we can find the distance traveled by the motorcycle using the equation:
s2 = u2t2 + (1/2) * a2 * t2^2
s2 = 0 + (1/2) * (7.4 m/s^2) * (3.12 s)^2s2 ≈ 17.97 meters
Therefore, the motorcycle is approximately 17.97 meters away from the car when it reaches the same speed as the car.
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Following is the complete answer: A car is traveling at a steady 83 km/h in a 50 km/h zone. A police motorcycle takes off at the instant the car passes it, accelerating at a steady 7.4m/s2 . How far is the motorcycle from the car when it reaches this speed?
I need help w all a,b,c,d
A. The total force acting on the plane during take-off is 563,140 N. This is calculated by multiplying the thrust of each engine (281,570 N) by the number of engines (2).
What is engine?An engine is an mechanical device that converts energy into useful work, typically in the form of rotational force. Engines are used in a variety of applications, from cars and airplanes to power plants and generators.
b. The acceleration the plane experiences during take-off can be calculated using Newton's Second Law of Motion, which states that Force = Mass x Acceleration. Therefore, the acceleration is 563,140 N / 369,000 kg = 1.53 m/s2.
c. To calculate the time it takes the plane to reach take-off speeds, we can use the kinematic equation for average acceleration, which states that the time taken is equal to the change in velocity (76 m/s) divided by the acceleration (1.53 m/s2). Therefore, the time taken is 49.8 seconds.
d. Using the kinematic equation for displacement, we can calculate the displacement the plane covers during take-off. This equation states that displacement is equal to the initial velocity (0 m/s) multiplied by the time taken (49.8 seconds) plus one-half of the acceleration (1.53 m/s2) multiplied by the time taken squared (49.8 seconds x 49.8 seconds). Therefore, the displacement is 3,814.7 m.
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