Answer:
To solve this problem, we can use the equations of motion for projectile motion:
- Vertical displacement: Δy = v₀sinθt - 1/2gt²
- Vertical velocity: v = v₀sinθ - gt
- Time of flight: T = 2v₀sinθ/g
- Horizontal displacement: Δx = v₀cosθt
where v₀ is the initial speed, θ is the angle of projection, g is the acceleration due to gravity (9.81 m/s²), t is the time of flight, and Δy and Δx are the vertical and horizontal displacements, respectively.
First, we can find the maximum height by using the equation for vertical displacement:
Δy = v₀sinθt - 1/2gt²
At the maximum height, the vertical velocity is zero, so we can find the time of flight by setting the vertical velocity equation to zero:
v = v₀sinθ - gt = 0
Solving for t, we get:
t = v₀sinθ/g
Substituting this into the equation for vertical displacement, we get:
Δy = v₀sinθ(v₀sinθ/g) - 1/2g(v₀sinθ/g)²
Simplifying, we get:
Δy = (v₀²sin²θ)/(2g)
Substituting the given values, we get:
Δy = (23²sin²25)/(2*9.81) ≈ 29.4 m
So the maximum height is approximately 29.4 meters.
Next, we can find the time of flight using the equation for time of flight:
T = 2v₀sinθ/g
Substituting the given values, we get:
T = 2*23*sin25/9.81 ≈ 3.5 s
So the time of flight is approximately 3.5 seconds.
Finally, we can find the horizontal displacement using the equation for horizontal displacement:
Δx = v₀cosθt
Substituting the given values, we get:
Δx = 23*cos25*3.5 ≈ 64.3 m
So Kelly needs to be approximately 64.3 meters away to catch the ball.
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
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:
(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.
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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An engine using 1 mol of an ideal gas initially at 18.7 L and 370 K performs a cycle
consisting of four steps:
1) an isothermal expansion at 370 K from
18.7 L to 33 L ;
2) cooling at constant volume to 209 K ;
3) an isothermal compression to its original
volume of 18.7 L; and
4) heating at constant volume to its original
temperature of 370 K .
Find its efficiency. Assume that the
heat capacity is 21 J/K and the universal gas constant is 0.08206 L · atm/mol/K =
8.314 J/mol/K
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
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 particle carries electric charge between your body and carpet when you experience static electricity?
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.
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.
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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write any two difference between watt and pascal
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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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.
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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A generator that is not producing voltage or current may have an open stator winding. True or False?
define boiling point
Answer: boiling point is when the object of a liquid is hot enough to start to boil and create bubbles, and even start to evaporate into gas.
Explanation:
Radar; atomic & molecular research, microwave ovens, cell phones are possible because of which type of wave? Pic attached below
Radar; atomic & molecular research, microwave ovens, cell phones are possible because of microwaves.
What are microwaves?Microwave is described as a form of electromagnetic radiation with wavelengths ranging from about one meter to one millimeter corresponding to frequencies between 300 MHz and 300 GHz respectively.
In conclusion, Microwave radiation has its effects as it can heat the body tissue the same way it heats food. Uneccessary exposure to high levels of microwaves can cause a painful burn.
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Why might earthquakes be much more intense closer to the initial disturbance than they are further away
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.
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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This model shows DNA, chromosomes, and genes. If B is a cell and C is the nucleus, what is A?
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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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
The force
Answer: .
Explanation: .
can someone please explain Question 1 a and e go to me :) ?
i have the answers. i just don't understand why the answers are what they are.
In the context of a scientific investigation, it is often important to provide accurate measurements. In this particular case, the mass of water used in the investigation is 0.05 kg.
How to calculate the massEnergy transferred = mass × specific heat capacity × temperature change
E = m × c × ΔT
We can rearrange this equation to solve for the mass of water:
m = E / (c × ΔT)
Substituting the given values, we get:
m = 1050 J / (4200 J/kg·°C × 0.6 °C) = 0.05 kg
Therefore, the mass of water used in the investigation is 0.05 kg.
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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 = _______________________
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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what is screw guage how does it work
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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An electric golf cart develops 1.25 kW of power while moving at a constant speed: (a) Express its power in horsepower: (b) If the cart travels 200 m in 35.0 %, what force is exerted by the cart?
a) The power of the electric golf cart is approximately 1.674 horsepower.
b) The force exerted by the electric golf cart is approximately 2182.5 Newtons.
Power and force in the Electric golf cart(a) To convert 1.25 kW to horsepower, we can use the conversion factor:
1 horsepower = 0.746 kW
So, 1.25 kW = (1.25/0.746) horsepower = 1.674 horsepower (approximately)
Therefore, the power of the electric golf cart is approximately 1.674 horsepower.
(b) To calculate the force exerted by the cart, we can use the following formula:
force = power / velocity
where power is in watts, velocity is in meters per second, and force is in Newtons.
First, we need to convert the power of the cart from 1.25 kW to watts:
1 kW = 1000 watts
So, 1.25 kW = 1250 watts
Now, we need to convert the distance traveled by the cart from meters to kilometers, and the time taken from seconds to hours:
200 m = 0.2 km
35.0% = 0.35 hours
Using the formula, we can calculate the force exerted by the cart as:
force = power / velocity
force = 1250 / (0.2/0.35)
force = 1250 / 0.5714
force = 2182.5 N (approximately)
Therefore, the force exerted by the electric golf cart is approximately 2182.5 Newtons.
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Sonography uses infrasonic waves to create images of objects found inside other objects.
True
False
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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Researchers want to assess your intelligence. To do so, they have you
complete a short survey on which you indicate your favorite color. They ask
you to complete this survey multiple times, and you always answer the same
color. Unfortunately, one's favorite color has nothing to do with one's
intelligence. This research survey is best defined as:
This research survey is an example of a flawed or invalid measure of intelligence.
The research survey that is shown in this question can be defined as a poor measurement tool for assessing intelligence. One can easily identify that the researchers are measuring intelligence by asking about the favorite color of the personnel, which has nothing to do with the intelligence of the person. This survey lack validity which is essential to measure the intelligence of any personnel through a survey.
The survey also lacks reliability as it can't provide consistent results. If the intelligence of any personnel is somehow related to the intelligence of the person, answering the survey multiple times must give the same answer. This doesn't provide consistent result and lack reliability and realism.
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list 5 importance of energy
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.
3-Calculate the total electric current of this circuit:
( ) 10.2 A
( ) 3.45 A
( ) 5.5 A
( ) 7.5 A
Answer :
7.5 A is the required electric currentStep-by-step explanation:
We are given with 4 resistors which are connected in parallel.
Let
R_1 =10Ω
R_2 = 12Ω
R_3 = 15Ω
R_4 = 20 Ω
First let's calculate the total resistance.
Since the resistors are connected in parallel, Total resistance will be,
[tex]{\boxed{ \implies {\sf {\dfrac{1}{R_{(total)} }= \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3} + \dfrac{1}{R_4}}}}} \\ [/tex]
Plugging in the required values,
[tex]\implies \sf \dfrac{1}{R_{(total)}} = \dfrac{1}{10} + \dfrac{1}{12} + \dfrac{1}{15} + \dfrac{1}{20} \\ \\\implies \sf \dfrac{1}{R_{(total)}} = \dfrac{6 + 5 + 4 + 3}{60} \\ \\ \implies \sf \dfrac{1}{R_{(total)}} = \frac{18}{60} \\ \\ \implies \sf R_{(total)} = \frac{60}{18} \\ \\ \implies \sf R_{(total)} = 3.33 [/tex]
Hence, The total resistance is 3.33 Ω
Now,
[tex] \implies \sf I = \dfrac{V}{R}[/tex]
Where,
I is currentR is resistanceV is voltagePlugging the required values
[tex] \implies[/tex] I = 25/3.33
[tex] \implies[/tex] I = 7.5 A
Therefore, The total current in the circuit is 7.5 A
Answer:10.2
Explanation:
what is the net charge when you rub a plastic ruler with fur
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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PLEASE HELP!!! 25 points
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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Identify how each machine changes the way work is done so as to be useful.
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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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?
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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An electric field of 2250 N/C is produced by a charge of 4.82 x 10^-11 C. For this field strength, what is the distance to the charge? (Kc = 8.99 x 10^9 NM^2 / C^2 )
Answer:
1.77 cm
Explanation:
The electric field strength produced by a point charge can be calculated using the equation:
E = k * Q / r^2
where E is the electric field strength, k is Coulomb's constant (k = 8.99 x 10^9 N m^2 / C^2), Q is the charge, and r is the distance between the charge and the point where the field is being measured.
Rearranging this equation to solve for r, we get:
r = sqrt(k * Q / E)
Substituting the given values, we get:
r = sqrt((8.99 x 10^9 N m^2 / C^2) * (4.82 x 10^-11 C) / (2250 N/C))
r = 0.0177 m or 1.77 cm
Therefore, the distance to the charge is 1.77 cm for this electric field strength.
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
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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