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Related Questions
A ball of mass 200g falls freely under gravity from a height of 50m. find the time taken to fall through a distance of 30m. given that the acceleration due to gravity g = 10m/s^2.
Answers
The time taken by the ball to fall through a distance of 30m is, 2 seconds
To calculate the time taken to fall through a distance of 30m, we have given data as,
mass of ball = 200g
g = 10 m/s^2
Initial height = 50 meter
Final height = 30 meter
So by the laws of motion, we have,
Δh = (ut) + (at²/2)
where, (u = initial velocity), and (t = time)
So,
50-30 = (0.t) + [10 x t²)/2]
20 = 5t²
Therefore, t = ± (2 seconds)
On eliminating the negative value as time can`t be negative here, we get
t = 2 seconds
Therefore, the time taken by the ball to fall through a distance of 30m is, 2 seconds
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Two billard balls with identical mass move toward each other, with the positive x-axis to the right. Assume that the collision between them is elastic. If the initial velocities of the balls are +40.0 cm/s and -30.0 cm/s, what are the velocities of the balls after the collision? Assume friction and rotation are unimprotant.
Answers
The velocities of the two balls after the collision are +70.0 cm/s to the right for both balls.
What is velocity?Velocity is described as the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.
The initial momenta of the two balls are:
p1 = mv1 = m(+40.0 cm/s) = +40m
p2 = mv2 = m(-30.0 cm/s) = -30m
m= mass of each ball.
We know that by the conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision.
p1 + p2 = mv1' + mv2'
mv1 + m(-v2) = mv1' + mv2'
We then Substitute the values for the momenta and solving for v1 and v2
v1 = (-v2) + v1 = (-(-30.0 cm/s)) + (+40.0 cm/s) = +70.0 cm/s
v2 = v1 - v2 = (+40.0 cm/s) - (-30.0 cm/s) = +70.0 cm/s
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How many centimeters is half of a 87.3 km road?
Your result must be in multiples of 108 cm. That means if, for example, you get a result of a
9.2200x108 just type 9.2200 in the answer box. Include four digit after the decimal point and
maximum of 1% of error is accepted in your answer.
Answers
Half of 87.3 km is 43.65 km.
To convert km to cm, we need to multiply by 100,000 (since there are 100,000 cm in 1 km).
So, 43.65 km = 43.65 x 100,000 = 4,365,000 cm.
To express the answer in multiples of 108 cm, we need to divide by 108 and round to four decimal places.
4,365,000 cm ÷ 108 = 40,416.6667
Rounding to four decimal places gives us 40.4167.
Therefore, half of an 87.3 km road is approximately 40.4167 x 108 cm.
What particle carries electric charge between your body and carpet when you experience static electricity?
Answers
Answer:
an electron.
Explanation:
When you walk on a carpet, some of the electrons from the atoms in the carpet are transferred to your body, giving you a negative charge. The electrons are then transferred back to the carpet when you touch a conductor, such as a doorknob, which can give you a shock due to the discharge of the static electricity.
list 5 importance of energy
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1. Powering our daily lives: Energy is essential for our daily lives, from lighting our homes to powering our electronic devices and transportation. Without energy, modern life as we know it would not be possible.
2. Economic growth: Energy is a critical driver of economic growth and development. The availability and affordability of energy sources can have a significant impact on a country's economic productivity and prosperity.
3. Environmental sustainability: Energy sources can impact the environment in different ways. The use of renewable and clean energy sources such as solar, wind, and hydroelectric power can help reduce greenhouse gas emissions and promote environmental sustainability.
4. Health and wellbeing: Access to energy can improve the health and wellbeing of individuals and communities. For example, the use of clean cooking fuels and electricity can help reduce indoor air pollution, which is a significant health hazard in many developing countries.
5. National security: Energy security is an essential aspect of national security. A country that is heavily dependent on foreign energy sources may be vulnerable to supply disruptions or price shocks. Therefore, developing domestic energy sources and promoting energy efficiency can enhance a country's energy security and reduce its dependence on foreign sources.
Answer:
1. Energy powers our homes and businesses.
2. Energy is necessary for transportation.
3. Energy is required for manufacturing and industrial processes.
4. Energy is essential for agriculture and food production.
5. Energy is needed for healthcare and medical equipment.
6. Energy is critical for national defense and security.
7. Energy is required for communication and technology.
8. Energy is vital for education and research.
9. Energy is necessary for entertainment and leisure activities.
10. Energy is fundamental for maintaining a high standard of living.
11. Energy is necessary for economic growth and development.
12. Energy is essential for reducing poverty and improving quality of life.
13. Energy is required for environmental protection and sustainability.
14. Energy is critical for disaster relief and emergency response.
15. Energy is needed for space exploration and research.
16. Energy is important for cultural preservation and heritage.
17. Energy is necessary for water treatment and distribution.
18. Energy is required for waste management and recycling.
19. Energy is vital for public safety and law enforcement.
20. Energy is necessary for aviation and air travel.
21. Energy is essential for shipping and transportation of goods.
22. Energy is required for mining and natural resource extraction.
23. Energy is critical for oil and gas production.
24. Energy is needed for renewable energy research and development.
25. Energy is important for alternative fuel sources and technology.
26. Energy is necessary for energy storage and distribution.
27. Energy is essential for energy efficiency and conservation.
28. Energy is required for climate change mitigation and adaptation.
29. Energy is vital for international cooperation and diplomacy.
30. Energy is necessary for transportation infrastructure development.
31. Energy is required for public transportation systems.
32. Energy is critical for rural and remote communities.
33. Energy is needed for urban development and growth.
34. Energy is important for public health and sanitation.
35. Energy is necessary for disaster preparedness and response.
36. Energy is essential for emergency services and first responders.
37. Energy is required for military operations and equipment.
38. Energy is critical for scientific research and innovation.
39. Energy is needed for space heating and cooling.
40. Energy is important for water heating and distribution.
41. Energy is necessary for appliance and electronic usage.
42. Energy is essential for lighting and electricity.
43. Energy is required for cooking and food preparation.
44. Energy is critical for refrigeration and food storage.
45. Energy is needed for laundry and cleaning.
46. Energy is important for personal hygiene and grooming.
47. Energy is necessary for entertainment and leisure activities.
48. Energy is essential for sports and recreation.
49. Energy is required for tourism and travel.
50. Energy is critical for the arts and culture.
51. Energy is needed for social and community events.
52. Energy is important for festivals and celebrations.
53. Energy is necessary for religious and spiritual practices.
54. Energy is essential for personal communication and relationships.
55. Energy is required for social media and online interactions.
56. Energy is critical for telecommuting and remote work.
57. Energy is needed for internet connectivity and usage.
58. Energy is important for e-commerce and online shopping.
59. Energy is necessary for financial transactions and banking.
60. Energy is essential for education and online learning.
61. Energy is required for healthcare and telemedicine.
62. Energy is critical for legal and government services.
63. Energy is needed for transportation and delivery services.
64. Energy is important for customer service and support.
65. Energy is necessary for manufacturing and supply chain management.
66. Energy is essential for research and development.
67. Energy is required for data centers and cloud computing.
68. Energy is critical for cybersecurity and privacy protection.
69. Energy is needed for artificial intelligence and machine learning.
70. Energy is important for autonomous vehicles and drones.
71. Energy is necessary for robotics and automation.
72. Energy is essential for virtual and augmented reality.
This graph is a combination of atmospheric carbon dioxide measurements taken from ice cores in Antarctica and air samples atop Mauna Loa. The graph BEST shows how the atmosphere has been affected by an increase in
Responses
Industrial activity
Industrial activity
Photosynthesis
Photosynthesis
Sea Levels
Sea Levels
Ozone Layer
Answers
Industrial activity
This model shows DNA, chromosomes, and genes. If B is a cell and C is the nucleus, what is A?
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Based on the information, we can infer that A. represents a Mitochondria.
What is a mitochondria?Mitochondria is a term to refer to the eukaryotic cell organelles responsible for supplying most of the energy necessary for cell activity through the process called cellular respiration.
Based on the information, we can infer that the element that is labeled with the letter A is a mitochondrion because its location is that of a mitochondrion. In this case, the mitochondria is red, although in other models it can be represented with another color. In general, it is given this shape and this color to distinguish it from other elements of the cell.
Note: This question is incomplete. Here is the complete information:
Attached image
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What is the S-P difference (sec)?
What is the amplitude (mm)?
What is the distance (km)?
What is the magnitude (M)?
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Amplitude is the maximum vertical displacement of the seismic waves on the Seismogram. As evident from the graph, it is 60 mm.
What is the Time?1. Time at which P waves arrive- 0 sec
Time at which S waves arrive- 18 sec
S-P interval= Time at which S wave arrive- Time at which P wave arrive
S-P interval= 18-0= 18 sec
2. Amplitude is the maximum vertical displacement of the seismic waves on the Seismogram. As evident from the graph, it is 60 mm.
3. The distance is around 150 km and is evident on the Distance/S-P bar chart.
4. The magnitude is about 4 and can be found by joining S-P interval (18 sec) with the Amplitude i.e., 6 mm. The point of intersection of the line to the magnitude line gives the magnitude, i.e., 4.
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a) Two asteroids collide and stick together. The first asteroid has mass of 18 × 10^3 kg and is initially moving at 780 m/s. The second asteroid has mass of 23 × 10^3 kg and is moving at 1050 m/s. Their initial velocities made an angle of 15° with respect to each other. What is their final speed and direction with respect to the velocity of the first asteroid?
Answers
The final velocity's angle with regard to the first asteroid's velocity is the same as the angle of the first asteroid's beginning velocity, which is 15° with respect to the x-axis.
How to determine final speed and direction?To solve this problem, using the law of conservation of momentum, the two asteroids stick together, so consider them as a single system.
Let's start by finding the initial momentum of the system:
p₁i = m₁v₁i = (18 × 10³ kg)(780 m/s) = 1.404 × 10⁷ kg⋅m/s
p₂i = m₂v₂i = (23 × 10³ kg)(1050 m/s) = 2.415 × 10⁷ kg⋅m/s
The initial momentum of the system is the vector sum of these momenta:
pi ni = p₁i + p₂i = (1.404 + 2.415) × 10⁷ kg⋅m/s = 3.819 × 10⁷ kg⋅m/s
Find the final velocity and direction of the system. Since the two asteroids stick together, final mass is the sum of their initial masses:
mf = m₁ + m₂ = (18 × 10³ kg) + (23 × 10³ kg) = 41 × 10³ kg
To find the final velocity, using the law of conservation of momentum again:
pf in = mf vfin
Since momentum is conserved:
pfin = pini
Therefore:
mf vfin = pini
vfin = pini / mf = (3.819 × 10⁷ kg⋅m/s) / (41 × 10³ kg) = 930.49 m/s
To find the direction of the final velocity, using trigonometry, define the x-axis to be parallel to the initial velocity of the first asteroid, and the y-axis to be perpendicular to the x-axis. Initial velocity of first asteroid has components:
v₁ix = v₁i cos(15°) = 758.19 m/s
v₁iy = v₁i sin(15°) = 199.78 m/s
Similarly, the initial velocity of the second asteroid has components:
v₂ix = v₂i cos(-15°) = 1041.02 m/s
v₂iy = v₂i sin(-15°) = -269.41 m/s
(Note that we use -15° for the second asteroid since its velocity makes an angle of 165° with respect to the x-axis.)
The total momentum of the system has components:
pfinx = pini = 3.819 × 10⁷ kg⋅m/s
pfiny = 0
Therefore, the final velocity of the system makes an angle θ with respect to the x-axis, where:
tan θ = pfiny / pfinx = 0
Since the y-component of the final velocity is zero, the final velocity is parallel to the x-axis.
Therefore, the direction of the final velocity with respect to the velocity of the first asteroid is the same as the direction of the initial velocity of the first asteroid, which is 15° with respect to the x-axis.
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what is screw guage how does it work
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Answer:
A screw gauge, also known as a micrometer screw gauge, is a precision measuring instrument used to measure small distances with high accuracy. It consists of a calibrated screw and a calibrated thimble with a spindle and an anvil face. The spindle is attached to the screw, and the anvil face is fixed to the body of the instrument.
To use a screw gauge, the object being measured is placed between the spindle and the anvil face, and the screw is turned until the spindle makes contact with the object. The thimble is then turned, which moves the spindle and the screw, until the spindle is firmly in contact with the object. The reading on the scale of the thimble is then taken, which gives the distance between the spindle and the anvil face, with a high degree of precision.
Screw gauges are commonly used in a variety of fields, including engineering, machining, and scientific research, where accurate measurements are required.
Screw gauge measures diameter with high accuracy using a screw and nut mechanism. It has a pitch and graduated thimble.
A screw check is an estimating instrument used to gauge the width of items, particularly wires and chambers, with high exactness. It deals with the rule of a screw and nut component.The screw measure comprises of a U-molded outline with a screw toward one side and a thimble at the other.
The screw has a pitch, which is the distance gone by the screw in one complete turn. The pitch is as a rule of the request for 0.5 mm. The thimble is graduated into 50 or 100 equivalent parts. The roundabout scale on the thimble must be changed to such an extent that the zero of the scale matches with the zero of the pitch scale.
To utilize the screw check, the item whose width is to be estimated is set between the iron block and the shaft. The screw is turned until the shaft simply contacts the item. The pitch scale perusing is noted.
The thimble is then turned until the zero of the thimble scale concurs with the middle line of the pitch scale. The thimble scale perusing is then noted. The breadth of the item is then determined by adding the pitch scale perusing and the thimble scale perusing.
Along these lines, a screw check can gauge widths to an exactness of 0.01 mm or better. It is broadly utilized in designing, fabricating, and logical applications.
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from time 15 seconds to 32 s the path of a car is part of a circle. For this motion the state the direction of the resultant force on the car and what happens to the velocity of the car
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Since the car is moving in a circular path, it is undergoing centripetal acceleration toward the center of the circle. This acceleration is caused by a net force directed towards the center of the circle, which is the resultant force on the car. This force is known as the centripetal force.
Centripetal force is the net force that acts on an object moving in a circular path, directed towards the center of the circle. This force is responsible for the object's centripetal acceleration and is necessary to keep the object moving in a circular path.
According to Newton's second law of motion, F=ma, where F is the net force, m is the mass of the object, and a is the acceleration of the object. Since the car is experiencing centripetal acceleration, which is perpendicular to its velocity, the direction of the net force is also perpendicular to the velocity.
As a result, the direction of the net force on the car is towards the center of the circle. If the net force were to suddenly disappear, the car would move off in a straight line tangent to the circle.
Therefore, Since the net force on the car is constantly changing the direction of the car's velocity, the velocity is also changing. Specifically, the velocity is changing in direction, but not in magnitude, since the car is moving at a constant speed along the circular path. This change in the direction of the velocity is what causes the acceleration, and therefore the centripetal force.
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what is the net charge when you rub a plastic ruler with fur
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The net charge when you rub a plastic ruler with fur would be infinitesimal or zero
How to detect the net chargeThe effect of friction between a plastic ruler and fur is evident when electrons are transferred from the hairy surface to the ruler's plane, ending with the ruler possessing a negative charge while the fur taking on a positive one.
As a result, the whole system presents with a net charge that is negative it converges due to the excess electrons now found on the ruler. However, occasionally, the magnitude of this charge is very small, consequently making it difficult to probe without reliable technology or instruments.
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(i) The car starts from rest. From time = 0 to time = 15 s, the car has a constant acceleration to a speed of 28 m/s. From time = 15 s to time = 32 s, the car has a constant speed of 28 m/s. From time = 32 s, the car has a constant deceleration of 2.0 m/s² until it comes to rest. On Fig. 1.1, draw the graph, using the space below for any calculations.
Answers
The total distance covered during all three phases is approximately 882.375 m.
How to solveThe car undergoes three phases: initial acceleration, constant speed, and deceleration.
In the first phase, it accelerates at 1.8667 m/s² for 15 seconds, covering 210.375 m.
In the second phase, it travels at a constant 28 m/s for 17 seconds, covering 476 m.
In the final phase, it decelerates at 2 m/s² for 14 seconds, covering 196 m.
The total distance covered during all three phases is approximately 882.375 m.
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Identify how each machine changes the way work is done so as to be useful.
Answers
The machine changes how work is done, by making the process easier and increasing output with less effort.
What is a machine?Any device that uses energy to carry out a task is a machine. Machines can be simple, like a lever or pulley, or complex, like a computer or a car engine. The purpose of a machine is to make work easier, faster, or more efficient than it would be without the machine. Different types of energy, including human power, electricity, and fuel, can be used to power machines.
Bicycle: A bicycle is a human-powered machine that allows people to move faster and with less effort than walking or running. A person can travel farther distances faster and with less physical effort by turning the wheels and shifting gears with their pedaling motion.
Ax blade: An ax blade is a cutting tool used for chopping wood. It facilitates the process of splitting wood by utilizing a sharp metal blade to cut through the wood fibers, rather than depending exclusively on physical power to break the wood apart.
Car jack: A car jack is a mechanical device used to lift a car off the ground. A person can raise the car to access the underside for repairs or maintenance by pulling a lever and applying hydraulic pressure. Compared to attempting to lift the car manually, this makes maintenance and repairs easier and safer.
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apart from inital temperature and room temperature suggest any other factor that should be kept the same to ensure that similar temperature readings are obtained
Answers
Answer: the quantity of the substance being measured and make sure to stir the substance before taking the readings, also make your eyesight perpendicular to the scale reading to avoid parallax error
Explanation:
4.
Large speaker cones produce deeper frequencies than small speaker cones.
O True
MacBook Air
False
Answers
The given statement that Large speaker cones produce deeper frequencies than small speaker cones is true.
What is the justification?The frequency response of a speaker refers to its ability to reproduce sound across different frequencies. In general, larger speaker cones are capable of moving more air and producing lower frequencies than smaller cones. This is because the size of the speaker cone affects the amount of air it can displace and the amount of force it can generate.
Low-frequency sounds require more movement of air to be heard, and larger cones are better suited to move the necessary amount of air. However, it's worth noting that there are other factors that can affect a speaker's frequency response, such as the design of the speaker cabinet, the materials used in the speaker cone, and the quality of the electronics used to power the speaker.
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What evidence supports the idea that the universe is expanding in all
directions?
O A. Cosmic background radiation
OB. Nuclear fusion in stars
O C. Nucleosynthesis
D. Redshift
Answers
Answer:
D. red shift
Explaination: if the spectral lines of galaxy are shifted towards the red end of spectrum (red shift) it means the galaxy is going away from earth!
A generator that is not producing voltage or current may have an open stator winding. True or False?
Answers
Sonography uses infrasonic waves to create images of objects found inside other objects.
True
False
Answers
The statement that Sonography uses infrasonic waves to create images of objects found inside other objects is false.
What is Sonography?Sonography, also known as ultrasound imaging, uses high-frequency sound waves (not infrasonic waves) to create images of objects found inside other objects. These sound waves are emitted by a transducer, which is placed on the skin or inserted into a body cavity, and are reflected off internal structures such as organs, tissues, and fluids.
The reflected sound waves are then detected by the transducer and used to create a real-time image of the internal structures.Ultrasound waves are typically in the range of 2 to 18 megahertz (MHz), which is above the range of human hearing.
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PLEASE HELP!!! 25 points
Answers
The statement that is true regarding the circuit shown in the question is I₁ > I₃ > I₂ (last option)
How do i know which statement is true?To know the true statement, we shall determine the current flowing through each resistance. Details below:
For resistor 1
Resistance (R₁) = 2 Ω Voltage (V) = 12 V Current (I₁) =?Voltage (V) = Current (I) × resistance (R)
12 = I₁ × 2
Divide both sides by 2
I₁ = 12 / 2
I₁ = 6 A
For resistor 2
Resistance (R₂) = 8 Ω Voltage (V) = 12 V Current (I₂) =?Voltage (V) = Current (I) × resistance (R)
12 = I₂ × 8
Divide both sides by 8
I₂ = 12 / 8
I₂ = 1.5 A
For resistor 3
Resistance (R₃) = 5 Ω Voltage (V) = 12 V Current (I₃) =?Voltage (V) = Current (I) × resistance (R)
12 = I₃ × 5
Divide both sides by 5
I₃ = 12 / 5
I₃ = 2.4 A
From the above calculation, we can see that I₁ > I₃ > I₂.
Thus, we can conclude that the true statement is I₁ > I₃ > I₂ (last option)
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HELP!!! You have two substances, both of which have the same boiling point (or attraction between their molecules).
The first substance is made from molecules that are small (just a few atoms bonded together), and the second substance is made from mol that are larger (many atoms bonded together).
How can it be possible for two such different molecules to yield substances with the same boiling point? Describe the kinds of intermolecu attractions that must be involved and any other properties of the molecules that could cause this result.
Answers
The boiling point of a substance depends on the strength of the intermolecular forces between its molecules. In the case of the two substances you mentioned, even though they have different molecular sizes, they can still have the same boiling point if they have similar intermolecular attractions.
What is the boiling point about?For example, the smaller molecule may have a higher polarity due to the presence of polar bonds, which can result in dipole-dipole interactions between molecules. The larger molecule may have a similar dipole moment even though it has more atoms, or it may have a polar functional group that contributes to its intermolecular interactions.
In addition to dipole-dipole interactions, the molecules may also have London dispersion forces, which are present in all molecules due to the random fluctuations in electron density. These forces are proportional to the size of the molecule, so the larger molecule may have a stronger dispersion force even if it is less polar than the smaller molecule.
Therefore,, it is possible for two different molecules to have the same boiling point if they have similar intermolecular attractions, such as dipole-dipole interactions and London dispersion forces. The size of the molecule may also play a role in determining the strength of these forces, but it is not the only factor.
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write any two difference between watt and pascal
Answers
watt is a unit of power and pascal is unit of of pressure.
watt is J/s and pascal is N/m².
Pressure is defined as force per unit area. i.e. P = F/A it gives the force on unit area. its SI unit is Pascal (Pa) which is equal to N/m². is a scalar quantity. its dimensions are [M¹ L⁻¹ T⁻²].
Power is the rate of doing work. Power is also defined as work divided by time. i.e. Power = Work ÷ Time. Its SI unit is Watt denoted by letter W. Watt(W) means J/s or J.s-1. Something makes work in less time, it means it has more power. Work is Force times Displacement. Dimension of Power is [M¹ L² T⁻³]
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Ocean waves are observed to travel along the water surface during a developing storm. A Coast Guard weather station observes that there is a vertical distance from high point to low point of 2.2 meters and a horizontal distance of 4 meters between adjacent crests. The waves splash into the station once every 4 seconds. Determine the frequency and the speed of these waves.
Frequency= _________________________, speed = _______________________
Answers
The frequency of the waves is 0.25 Hz and the speed of the waves will be 1 m/s.
The distance between adjacent crests is called the wavelength, represented by the symbol λ. In this case, the wavelength is 4 meters.
The vertical distance between the high point (crest) and the low point (trough) is called the amplitude, represented by the symbol A. In this case, the amplitude is 2.2 meters.
The time it takes for one wave to pass a fixed point is called the period, represented by the symbol T. In this case, the period is 4 seconds.
The frequency of the waves is the number of waves that pass a fixed point in one second, represented by the symbol f. It is the reciprocal of the period, so:
f = 1 / T = 1 / 4 = 0.25 Hz
The speed of the waves can be calculated using the wave equation:
v = fλ
where v is the speed of the waves. Substituting the values we have:
v = (0.25 Hz)(4 m) = 1 m/s
Therefore, the frequency of the waves is 0.25 Hz and the speed of the waves is 1 m/s.
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Why might earthquakes be much more intense closer to the initial disturbance than they are further away
Answers
Earthquakes are typically more intense closer to the initial disturbance because the seismic waves generated by the earthquake lose energy as they travel through the Earth's crust. The energy of the seismic waves is dissipated as they encounter different layers of rock and other materials, causing the waves to become weaker and less intense.
Closer to the initial disturbance, the seismic waves encounter less material to pass through, and therefore experience less energy loss. As a result, the waves are more intense and can cause more damage to structures and the surrounding environment.
In addition to this, the type of rock and soil that the seismic waves pass through can also affect their intensity. Softer materials like sand and clay amplify the seismic waves, which can cause more damage in the nearby areas.
Therefore, the distance from the initial disturbance and the geological features of the region can both affect the intensity of an earthquake. Typically, the closer an area is to the epicenter of an earthquake, the more intense the shaking will be, and the further away an area is, the weaker the shaking will be.
A moving object of mass 0.01 kg experiences a drag force proportional to its speed square. The proportionality constant is C. If the object has an initial speed v = 10 m/s and after time T has energy 1/8 m v^2, then find C.
Answers
The proportionality constant of the moving object experiencing a drag force is 0.01875 Ns²/m².
How to calculate proportionality constant?The work-energy principle states that the work done on an object is equal to its change in kinetic energy. So, the work done by the drag force can be found as follows:
W = (1/8)mv² - (1/2)mv₀²
where m = mass of the object, v = final speed, and v₀ = initial speed.
The work done by the drag force is also given by the formula:
W = ∫F(x)dx
where F(x) = force function and x = position of the object.
In this case, the force function is F(x) = -Cv², since the drag force is in the opposite direction of motion. So:
W = ∫-Cv²dx
Since the force is proportional to v², rewrite this as:
W = -C∫v²dx
Integrating both sides with respect to x:
W = -(1/3)Cv³
So, equating the two expressions for W:
(1/8)mv² - (1/2)mv₀² = -(1/3)Cv³
Substituting m = 0.01 kg, v₀ = 10 m/s, and solving for C:
C = -(3/8) × (m/v₀³) × (v² - v₀²) = -(3/8) × (0.01/10³) × (1/8 × 10² - 10²) = 0.01875 Ns²/m²
Therefore, the proportionality constant is C = 0.01875 Ns²/m².
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3.
What is sonography?
using infrasonic waves to communicate long distances
through the ground
using ultrasonic waves to communicate and hunt for prey
MacBook Air
using infrasonic waves to create images of submerged
objects
using ultrasonic waves to create images of objects found
inside other objects
Answers
The correct answer is using ultrasonic waves to create images of objects found inside other objects.
What do the terms "infrasonic" and "ultrasonic" mean?Infrasonic Wave: An infrasonic wave is a longitudinal elastic wave whose frequency is lower than that of sound, or 20Hz. For instance: It typically occurs during an earthquake. Ultrasonic Wave: An ultrasonic wave is a longitudinal wave with a frequency greater than the threshold of human hearing, or 20 kHz.
What do ultrasonic and infrasonic waves consist of?The audible range of frequencies below 20 Hz is known as infrasonic. Volcanoes, earthquakes, and thunder all emit sound in the infrasonic range. Human ears cannot hear this sound, but elephants and whales can. Ultrasonic frequencies are those that are above 20,000 Hz.
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In a hydraulic lift, if the radius of the smaller piston is 2.0 cm and the radius of the larger piston is 20.0 cm.
a) What is the increase in pressure caused by the 250 N force on the small piston.
ANSWER: 2 x 10E5 Pa
^^^^^^^^^^^^^^^^^^^^^^^
b) If the larger piston moves 5 cm, how far does the smaller piston move?
ANSWER: 5m
^^^^^^^^^^^^^^^^^^
OR: F= 250* (20^2/2^2) =25000 N
P= 250/(area of small piston) = 7.85*10^7 Pa
h= 5*(20^2/2^2)= 500 cm
Answers
The pressure exerted on the fluid by the force applied on the small piston can be calculated using the formula:
P = F/A
where P is the pressure, F is the force, and A is the area on which the force is applied. Since the force is applied on the smaller piston, we need to use its area:
A_small = πr_small^2
where r_small is the radius of the smaller piston. Thus,
A_small = π(0.02 m)^2 = 1.2566 x 10^-3 m^2
The force applied on the small piston is 250 N. Thus,
P = F/A_small = 250 N / 1.2566 x 10^-3 m^2 = 1.989 x 10^5 Pa
Therefore, the increase in pressure caused by the 250 N force on the small piston is 1.989 x 10^5 Pa, which is approximately equal to 2 x 10^5 Pa (to two significant figures).
How far can the smaller piston moves when the larger piston moves 5 cm?b) We can use the principle of conservation of volume to determine how far the smaller piston moves when the larger piston moves 5 cm. The volume of the fluid in the hydraulic lift remains constant, so we have:
A_small × h_small = A_large × h_large
where h_small and h_large are the heights of the fluid columns above the smaller and larger pistons, respectively. Since the lift is filled with an incompressible fluid, the pressure is the same throughout the fluid. Thus,
P = F/A_small = F/A_large
Multiplying both sides of this equation by the areas of the pistons, we get:
F × A_small = F × A_large
Substituting the given values, we get:
250 N × (π(0.02 m)^2) = F × (π(0.20 m)^2)
Solving for F, we get:
F = 250 N × (0.02 m/0.20 m)^2 = 25 N
Now, we can use the force applied on the larger piston and the area of the smaller piston to calculate the force on the smaller piston:
F_small = F × (A_small/A_large) = 25 N × (1.2566 x 10^-3 m^2 / (π(0.20 m)^2)) = 0.1989 N
Using the formula for pressure, we can calculate the height of the fluid column above the smaller piston:
P = F_small/A_small = h_small × ρ × g
where ρ is the density of the fluid and g is the acceleration due to gravity. Since the density of the fluid and the acceleration due to gravity are constants, we can simplify this equation to:
h_small = F_small/(A_small × ρ × g)
Substituting the given values, we get:
h_small = 0.1989 N / (1.2566 x 10^-3 m^2 × 1000 kg/m^3 × 9.81 m/s^2) = 0.0159 m
Therefore, the smaller piston moves 0.0159 m (or approximately 1.6 cm) when the larger piston moves 5 cm.
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A car travels 200 km in the first 2.5 hour then stop for half hour then travels the final speed of 200 km in 2 hours find the average speed of a car
Answers
A car travels 200 km in the first 2.5 hour then stop for half hour then travels the final speed of 200 km in 2 hours. The average speed of the car is 80 km/hour.
To find the average speed of the car, we need to calculate the total distance traveled and the total time taken.
In the first 2.5 hours, the car travels 200 km.
Then, it stops for half an hour.
After that, the car travels another 200 km in 2 hours.
So the total distance traveled is 200 km + 200 km = 400 km.
The total time taken is 2.5 hours + 0.5 hours + 2 hours = 5 hours.
Therefore, the average speed of the car is:
Average speed = total distance / total time
= 400 km / 5 hours
= 80 km/hour.
So the average speed of the car is 80 km/hour.
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A rifle with a weight of 30 N fires a 5.0-g bullet with a speed of 300 m/s. (a) Find
the recoil speed of the rifle. (b) If a 700-N man holds the rifle firmly against his
shoulder, find the recoil speed of man and rifle.
Answers
The recoil speed of the rifle is 0.5 m/s.
Weight of the rifle, W = 30 N
Mass of the rifle, M = W/g = 30/10 = 3 kg
Mass of the bullet, m = 5 g = 5 x 10⁻³kg
Speed of the bullet, v = 300 m/s
a) The expression for the recoil speed of the rifle is given by,
v(r) = mv/M
v(r) = 5 x 10⁻³ x 300/3
v(r) = 0.5 m/s
b) Weight of the man, W' = 700 N
Mass of the man, M' = W'/g = 700/10 = 70 kg
So, the combined mass of the man and the rifle,
M₁ = M + M'
M₁ = 3 + 70
M₁ = 73 kg
Therefore, the recoil speed of man and rifle,
v(r)' = mv/M₁
v(r)' = 5 x 10⁻³ x 300/73
v(r)' = 0.0205 m/s
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draw the magnetic field lines inside and outside on the solenoid
Answers
Answer:
U Can check it out
Explanation:
the wire wound in a form of loop forms a coil or solenoid .when an electric current is passed through a coil or solenoid the resultant magnetic field is similar to that of a bar magnet .One end of the solenoid is North N-pole and other is S-pole like bar magnet .Since the field lines cannot cross each other, the Field lines are packed closer together inside. Therefore the field is stronger and uniform inside and weaker outside the coil.