Answer:
The answer is 8075 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × accelerationFrom the question
mass = 1.7 × 10³ kg = 1700 kg
acceleration = 4.75 m/s²
We have
force = 1700 × 4.75
We have the final answer as
8075 NHope this helps you
The spark plug of a motor bike does NOT work because the user did not use a torque wrench to tighten spark plug, instead he/she used a regular wrench. This is an example of? *
A. What is the RPN Number?
B. What are the potential Failure Modes?
C. What are the Potential Causes?
D. What are the Potential Effects?
This is an example of potential cause and effect. The potential cause is the improper use of tools, specifically using a regular wrench instead of a torque wrench to tighten the spark plug. The potential effect is the malfunctioning of the spark plug, leading to its failure to work properly.
Using the wrong tool, in this case, a regular wrench instead of a torque wrench, can lead to overtightening or undertightening of the spark plug. A torque wrench is specifically designed to apply a specific amount of torque or rotational force to tighten the spark plug to the manufacturer's specifications. Without using a torque wrench, it becomes challenging to achieve the correct tightness, which can result in a range of issues.
In the given scenario, the potential failure mode is the spark plug not functioning correctly, leading to the bike's engine not igniting properly. This can result in poor engine performance, misfires, or complete engine failure. Using the appropriate tools and following proper procedures is crucial to ensure the reliable and safe operation of mechanical components.
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3. When water droplets are pushed through sand, gravel and carbon filters is the
water clean and ready to drink? Why or why not?
Answer:
i think yes, because the sand together with the filters catches all the impurities of the water that will pass through them. (btw sorry for my English, this is translated from my language in translator, so don't mind my English pls)
What is the concentration of the acute leukemia cc95 combination value in micromolar (μm) units?
The concentration of the acute leukemia cc95 combination value in micromolar (μm) units is 6 × 10-4 μM.
Acute lymphocytic leukemia (ALL) is also called acute lymphoblastic leukemia. “Acute” means that the leukemia can progress quickly, and if not treated, would probably be fatal within a few months. "Lymphocytic" means it develops from early (immature) forms of lymphocytes, a type of white blood cell.
A rapidly progressing cancer that starts in blood-forming tissue such as the bone marrow, and causes large numbers of white blood cells to be produced and enter the blood stream.
In acute leukemia, the abnormal blood cells are immature blood cells (blasts). They can't carry out their normal functions, and they multiply rapidly, so the disease worsens quickly. Acute leukemia requires aggressive, timely treatment.
This corresponds to 0.6 × 10^-9 M × (1 μM/1 × 10^-6 M) = 0.6 × 10^-3 μM = 6 × 10-4 μM.
Acute myeloid leukemia (AML) is caused by a DNA mutation in the stem cells in your bone marrow that produce red blood cells, platelets and infection-fighting white blood cells. The mutation causes the stem cells to produce many more white blood cells than are needed.
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9. What could cause scientist to change their mind?
New technology allows for new understandings of old ideas
b. The findings are not popular with the public.
C.
The findings are not widely accepted as true.
d. No one has been able to prove they are right.
If the velocity is 50 and the time is 5 seconds what is the acceleration?
Just divide the both, you will get the answer!
does it sound rude?
im sorry for that!
Answer:
10
Explanation:
Use trigonometry to find the missing values of the sides of the triangles below.
Answer:
e = 15.4508
Explanation:
sin∅ = opposite over hypotenuse
Here, we see that we need to use sin trig to help us solve for side length e.
sin18° = e/50
50sin18° = e
e = 15.4508
Drag the item from the item bank to its corresponding match.
This is energy of motion.
This is the change in kinetic energy of a system in which
a 11 kg object moving at 35 m/s slows to a velocity of 30
m/s.
This is the change in kinetic energy of a system in which
a 28 kg object traveling at 25 m/s breaks and becomes a
22 kg object traveling at the same speed.
This is the change in kinetic energy of a system in which
a 16 kg object moving at 25 m/s slows to a velocity of 20
m/s.
This is the change in kinetic energy of a system in which
a 32 kg object traveling at 18 m/s breaks and becomes a
27 kg object traveling at the same speed.
O kinetic Energy
O 5 kJ changes to 3.2 kJ
O 8.75 kJ changes to 6.88 kJ
O 6.74 kJ changes to 4.95 kJ
O 5.2 kJ changes to 4.4 kJ
This is energy of motion - kinetic Energy
What is the kinetic energy?1) Initial kinetic energy = 0.5 * 11 * 35^2
= 6737.5 J
Final kinetic energy = 0.5 * 11 * 30^2
= 4950
2) Initial kinetic energy = 0.5 * 28 * 25^2
= 8750 J
Final kinetic energy = 0.5 * 22 * 25^2
= 6875 J
3) Initial kinetic energy = 0.5 * 16 * 25^2
= 5000J
Final kinetic energy = 0.5 * 16 * 20^2
= 3200J
4) Initial kinetic energy = 0.5 * 32 * 18^2
= 5184 J
Final kinetic energy = 0.5 * 27 * 18^2
= 4374 J
This is the change in kinetic energy of a system in which
a 11 kg object moving at 35 m/s slows to a velocity of 30
m/s - 6.74 kJ changes to 4.95 kJ
This is the change in kinetic energy of a system in which
a 28 kg object traveling at 25 m/s breaks and becomes a
22 kg object traveling at the same speed - 8.75 kJ changes to 6.88 kJ
This is the change in kinetic energy of a system in which
a 16 kg object moving at 25 m/s slows to a velocity of 20
m/s - 5 kJ changes to 3.2 kJ
This is the change in kinetic energy of a system in which
a 32 kg object traveling at 18 m/s breaks and becomes a
27 kg object traveling at the same speed - 5.2 kJ changes to 4.4 kJ
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Part B
Based on the information in the article, how could plants be used in the future to help counteract some human
emissions?
Answer:
Having more plants performing photosynthesis could help reduce the amount of carbon dioxide in the atmosphere.
Explanation:
sample answer
The plants can be used in the future to help counteract some human
emissions they absorb carbon dioxide from the air and release oxygen.
What is photosynthesis?It is a process carried out by photosynthetic autotrophic organisms, such as plants, algae and some prokaryotes. These organisms capture sunlight, convert it into chemical energy, which will be used to produce organic compounds, based on water and carbon dioxide.
Trees, like other plants, in the process called photosynthesis, absorb carbon dioxide from the air and release oxygen. They also make the air wetter and cooler. In this way, plants contribute to the good quality of the air we breathe.
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What is the energy transformation that occurs in a CD player in order to play music
Answer:
electrical energy to mechanical energy.
Explanation:
Which image shows the correct way of lining up vectors to add them together? A. two arrows lined up facing away from each another B. two arrows lined up one after the another C. two arrows lined up facing each another D. two arrows facing opposite to each other
The image shows the correct way of lining up vectors to add them together, that the two arrows lined up one after the other, therefore the correct answer is option B.
What is a vector quantity?The quantities that contain the magnitude of the quantities along with the direction are known as the vector quantities.
Examples of vector quantities are displacement, velocity acceleration, force, etc.
Thus, the image shows the correct way of lining up vectors to add them together, that the two arrows lined up one after the other, therefore the correct answer is option B.
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If the total force on the object is not zero, its motion will
The legal highway speed limit in colorado is 75 miles per hour. What is this in kilometers per hour?
In an aqueous solution where the H+ concentration is 1 x 10-6 M, the OH concentration must be:
A. 14 x 10-6 M
B. 1 x 10-6 M
C. 1 x 10-7 M
D. 1x 10-8 M
E. 14 x 10-8 M
Answer:
D. 1×10⁻⁸ M
Explanation:
[H⁺] [OH⁻] = 10⁻¹⁴
(1×10⁻⁶) [OH⁻] = 10⁻¹⁴
[OH⁻] = 1×10⁻⁸
The concentration of hydroxyl ion will be \(10^{-8}\)M.
What is concentration?The amount of a chemical substance in a mixture is expressed by the substance's concentration.
Calculation of concentration.
Given data:
Concentration of H+ = 1 x \(10^{-6}\) M.
It is known that,
[\(H^{+}\)][\(OH^{-}\)] = \(10^{-14}\)M
Now, put the value of concentration of [\(H^{+}\)] in above equation.
[1× \(10^{-6}\)][\(OH^{-}\)] = \(10^{-14}\)M
[\(OH^{-}\)] = \(10^{-14}\) / [1× \(10^{-6}\)]M
[\(OH^{-}\)] = \(10^{-8}\)M
Therefore, the concentration of hydroxyl ion will be \(10^{-8}\)M.
Hence, the correct answer will be an option (D).
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compare this to the diffraction limit of the hubble space telescope for visible light. why, to be useful, radio telescopes must be much larger than optical telescopes?
Radio telescopes must be larger than optical telescopes because of the longer wavelengths of radio waves, which result in a lower diffraction limit.
The diffraction limit of a telescope is determined by its aperture size, or the diameter of its collecting area. For the Hubble Space Telescope, the diffraction limit for visible light is approximately 0.05 arcseconds. This means that the telescope can resolve structures or details that are separated by at least 0.05 arcseconds of an angle.
On the other hand, radio telescopes are much larger than optical telescopes because radio waves have longer wavelengths than visible light. The diffraction limit of a radio telescope is proportional to the wavelength of the radiation it observes. Because radio wavelengths are much longer than those of visible light, radio telescopes must be much larger in order to achieve the same level of resolution as optical telescopes.
In addition, radio telescopes can detect emissions from much larger structures in space, such as galaxies and clusters of galaxies. These emissions are typically very weak and difficult to detect, so radio telescopes must have a large collecting area in order to detect them.
To sum up, radio telescopes must be larger than optical telescopes because of the longer wavelengths of radio waves, which result in a lower diffraction limit, and the need to detect weak radio emissions from large structures in space.
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The position of a particle along a straight-line path is defined by s=(t³−6t²−15t+7)ft, where t is in seconds. Determine the total distance traveled when t=9.00 s. What is the particle's average velocity at time t=9.00 s ? What is the particle's average speed at time t=9.00 s ?
To determine the total distance traveled when t = 9.00 s, we need to find the displacement between the initial and final positions of the particle.
Given:
s = t³ - 6t² - 15t + 7
To find the initial position, substitute t = 0:
s(0) = (0³) - 6(0²) - 15(0) + 7
s(0) = 7 ft
To find the final position, substitute t = 9.00 s:
s(9) = (9³) - 6(9²) - 15(9) + 7
s(9) = 729 - 486 - 135 + 7
s(9) = 115 ft
The displacement between the initial and final positions is:
Δs = s(9) - s(0)
Δs = 115 - 7
Δs = 108 ft
Therefore, the total distance traveled when t = 9.00 s is 108 ft.
To calculate the average velocity at time t = 9.00 s, we need to find the instantaneous velocity at that time.
The velocity function is the derivative of the position function:
v = ds/dt
Given:
s = t³ - 6t² - 15t + 7
Differentiating s with respect to t:
v = ds/dt = 3t² - 12t - 15
Substitute t = 9.00 s:
v(9) = 3(9²) - 12(9) - 15
v(9) = 243 - 108 - 15
v(9) = 120 ft/s
Therefore, the particle's average velocity at time t = 9.00 s is 120 ft/s.
To calculate the average speed at time t = 9.00 s, we need to find the total distance traveled divided by the time taken.
Average speed = total distance / time
Given:
Total distance = 108 ft
Time = 9.00 s
Average speed = 108 ft / 9.00 s
Average speed = 12 ft/s
Therefore, the particle's average speed at time t = 9.00 s is 12 ft/s.
Total distance traveled when t = 9.00 s: 108 ft
Particle's average velocity at time t = 9.00 s: 120 ft/s
Particle's average speed at time t = 9.00 s: 12 ft/s
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if the back bicycle has a radius of 34 cm and rotates forward along with the rear sprocket when it rotates forward, how far will the bike travel in 10 seconds
The number of revolutions in 10 seconds is equal to the angular velocity multiplied by the time. We are not given the angular velocity of the rear sprocket or any other information about the bike's speed, so we cannot calculate the distance it will travel in 10 seconds.
To calculate how far a bike with a rear wheel radius of 34 cm will travel in 10 seconds, we need to first find the distance that the wheel covers in one revolution.
The distance covered by one revolution of a wheel is equal to its circumference, which can be calculated using the formula:
C = 2πr
Where C is the circumference, π is the mathematical constant pi, and r is the radius of the wheel.Substituting the given value of the radius of the rear wheel, we get:
C = 2π × 0.34 m = 2.13 m
Therefore, the rear wheel of the bike covers a distance of 2.13 m in one revolution.
If the bike continues to rotate forward along with the rear sprocket, it will cover a distance equal to the circumference of the wheel in one revolution for every revolution of the rear sprocket.
Assuming a constant rate of rotation, the bike will cover a distance equal to the product of the distance covered in one revolution and the number of revolutions in 10 seconds.
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Write a hypothesis about how the mass of the cylinder affects the temperature of the water. Use the “if”… then .. because… “format and be sure to answer the lesso: “How is potential energy converted to thermal energy in a system?”
If the mass of the cylinder decreases, the temperature of the water decreases, because lesser the mass means the cylinder has less potential energy that can be converted to thermal energy, decreasing the temperature of the water.
What is potential energy?Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy.
The temperature of the water falls as the cylinder's mass drops because a smaller cylinder has less potential energy that can be converted to thermal energy, which lowers the temperature of the water.
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What is the most important use of absorption measurements?
The most important use of absorption measurements is to determine the concentration of a substance in a solution.
Absorption measurements are one of the most commonly used methods for detecting and quantifying the concentration of molecules in a solution. This technique measures the amount of light that is absorbed by a sample as a function of its wavelength.
There are two types of absorption measurements: transmission and reflection.
Transmission measurement is when the light passes through a sample and is absorbed by the solution. The amount of light that is absorbed is then measured and the concentration of the substance is determined based on the amount of light absorbed.
Reflection measurement is when the light is reflected off the surface of the sample and the amount of reflected light is measured. The concentration of the substance is then determined based on the amount of light absorbed by the sample.
Absorption measurements are important for many reasons. Some of the key uses of absorption measurements include:
Determining the concentration of a substance in a solution: Absorption measurements can be used to accurately determine the concentration of a substance in a solution. This is important for many applications, including medical diagnosis and drug development.
Detecting impurities in a sample: Absorption measurements can also be used to detect impurities in a sample. This is important for quality control and ensuring that products are safe for use.
Identifying unknown substances: Absorption measurements can also be used to identify unknown substances in a sample. This is important for forensic analysis and environmental testing.
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The net force determines how and if and object will
Answer:
Move. It also determines the total amount of force put on an object
Explanation:
The question is incomplete, the complete question is;
The net force determines how and if an object will?
A) make a balanced force
B) change its mass
C) move or accelerate
When unbalanced forces act on an object, the object moves or accelerates. The correct answer is option C: move or accelerate
Force is considered as a push or pull. Unbalanced forces refers to a system of forces acting in opposite direction and are not equal in magnitude.
Unbalanced forces cause an object to move or accelerate in the direction of the larger force.
Hence, The net or resultant force determines how and if an object will move or accelerate when under the action of unbalanced forces.
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A laser pulse with a wavelength of 540 nm contains 4.40 MJ of energy. How many photons are there in the laser pulse?
Answer:
11.963 * 10^(24) photons
Explanation:
Given,
λ = 540 nm = 5.4 * 10^(-7) m
E = 4.40 MJ = 4.4 * 10^(6) J
We know that E = nhc/λ [hc = 1.986 * 10^(-25) Jm]
or, n = Eλ/hc
n = \(\frac{5.4 * 10^-^7 * 4.4 * 10^6}{1.986 * 10^-^2^5 }\)
= 11.963 * 10^(24) photons
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What is the heat energy produce within 4s with the rate of transfer energy 50 J/s?
Okay, let's think this through step-by-step:
* The rate of energy transfer is 50 J/s
* We need to calculate the energy transferred in 4 seconds
* So we would calculate:
Energy in 4 seconds = Rate x Time
= 50 J/s x 4 s
= 200 J
So the heat energy produced within 4 seconds with an energy transfer rate of 50 J/s is 200 J.
Let me know if you have any other questions!
Is a football tackle an elastic or inelastic collision and why?
A: elastic, because momentum is conserved
B: inelastic, because kinetic energy is conserved
C: inelastic, because momentum is not conserved
D: inelastic, because kinetic energy is not conserved
If the kinetic energy of an object changes, then the collision is considered inelastic. This is regardless of whether the objects sticks together or not.
My best answer for this question would be D) inelastic, because kinetic energy is not conserved.
We can tell from the collision that it is not elastic.
Momentum is is conserved, it transfers to the other player.
Kinetic energy is not conserved, at it turns into internal friction.
I hope this helps! :)
A football tackle is an inelastic collision , because kinetic energy is not conserved.
What is collision?When two bodies or particles move towards enough to interact with each other it is called the particles or the bodies are colliding.
What are the types of collision?Elastic collisioninelastic collisionWhat is an elastic collision?In this type of collision , there is no loss of kinetic energy.The momentum and kinetic energy both are conserved.What is an inelastic collision?in this type of collision , there is a loss of kinetic energy.The momentum of the system is conserved but the kinetic energy is not conserved .So, when the football tackles it's kinetic energy changes.
Thus, A football tackle is an inelastic collision , because kinetic energy is not conserved.
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A bike travels at a constant speed of 4.0 m/s for 5.0s. How far does it go?
Answer:
20 m
Explanation:
1 s = 4 m
5 s = ?
? = (4 x 5) = 20 meters
Answer:
distance = 0.8 m
Explanation:
given:
A bike travels at a constant speed of 4.0 m/s for 5.0s.
find:
How far does it go?
solution:
distance = speed / time
distance = 4.0 m/s
5 sec.
distance = 0.8 m
Find the acceleration of an object when the force is 850 N and the mass is 85 kg.
A. 0 m/s2
B. 7.3 x 104 m/s2
C. 0.1 m/s2
D.10 m/s2
There is a tender for building a new mall in Alexandra, what are the three main stakeholders and their functions required to ensure the completion of the project. 1.2 During the construction of a road in a particular community. who represent the community and what is their duties. 1.3 Before any type of Civil Engineering project is carried out, what needs to be done ensure the viability of the project. 1.4 The contractor has won a tender for construction of a Bridge, show its hierarchy of working when carrying out the work. 1.5 A 50 km road construction is to take place, the duration of the project is 10 days, draw the bar chart of the project. Question 2 (10) 2.1 Why is Risk Management necessary in a project?
For a successful final touch of a construction venture, key stakeholders consisting of the consumer/proprietor, architect/layout group, and creation contractor are crucial. Risk management is necessary to perceive and mitigate capacity risks, ensuring project success and minimizing disruption
The 3 important stakeholders for the development of a new mall in Alexandra are:
Client/Owner: The patron/proprietor is the entity or agency initiating the mission. Their feature is to define the task necessities, provide the important funding, and oversee the entire task. Architect/Design Team: The architect and layout crew are answerable for developing the architectural and structural plans for the mall.Construction Contractor/Builder: The production contractor is chargeable for executing the construction sports and bringing the mall to reality.During the construction of an avenue in a particular network, the network is represented by:
Local Authorities: The local authorities, which include the municipal or city council, represent the community's pastimes. Their duties consist of engaging with the network to apprehend their needs and issues associated with the road construction project.
Before any sort of Civil Engineering mission is executed, the subsequent steps want to be taken to ensure the viability of the challenge:
Feasibility Study: A feasibility observation is performed to assess the technical, financial, criminal, and environmental components of the venture. Environmental Impact Assessment: An environmental impact evaluation is performed to evaluate the capacity environmental consequences of the undertaking.Design and Engineering: Detailed layouts and engineering paintings are conducted to develop the challenge plans and specifications.Cost Estimation and Budgeting: Cost estimation is carried out to decide the overall undertaking price, together with substances, hard work, devices, and other expenses.The hierarchy of running for a contractor sporting out the development of a bridge typically consists of the subsequent degrees:
Project Manager: The undertaking supervisor oversees the complete creation mission, which includes making plans, scheduling, budgeting, and coordinating resources.Site Manager: The website online supervisor is accountable for on-site operations and coordination. They control the daily sports, supervise the development group, screen development, and ensure adherence to safety and high-quality requirements.Foremen and Supervisors: Foremen and supervisors are chargeable for particular areas or trades inside the production process. They supervise the people, coordinate duties, and make sure that work is done in step with the mission plans and specs.Skilled Workers: Skilled employees consist of carpenters, masons, electricians, welders, and other specialized tradespeople who perform the actual construction obligations.Laborers: Laborers are liable for assisting skilled people, wearing materials, and appearing fashionable hard work obligations required for the construction work.To draw the bar chart (also referred to as a Gantt chart) for a 50 km street creation undertaking with a duration of 10 days, the chart could represent the obligations and their respective intervals. However, a standard bar chart for an avenue creation undertaking may also include duties including surveying, excavation, laying subbase, paving, and street markings, amongst others.
The horizontal axis represents the timeline (in days), and the vertical axis represents the responsibilities. Each undertaking is represented with the aid of a horizontal bar that suggests its length.
Question 2 (10):
2.1 Risk control is vital in a venture for the following motives:
Identify and Assess Risks: Risk control allows perceive capability risks and investigate of their potential impact on the assignment.Mitigate and Control Risks: Through chance management, proactive measures can be taken to mitigate and control dangers. Enhance Decision-Making: By considering risks and their capacity outcomes, danger control gives treasured information for choice-making. Improve Project Performance: Effective risk control contributes to better mission performance by minimizing disruptions, delays, and price overruns. Stakeholder Communication: Risk management helps communication with project stakeholders by supplying transparency about capacity risks and the way they'll be controlled.Overall, change management is important for figuring out, analyzing, and responding to risks in a systematic and proactive manner. It enables ensuring task success by using lowering uncertainties and maximizing opportunities for task delivery within the preferred parameters.
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A 400 Kg truck rushing through the street at 20 m/s crashes into a 50 Kg car making a turn at 2 m/s. The car is bounces off the bottom of truck at 142 m/s, what is the final velocity of the truck?
According to the given statement 2.5 m/s is the final velocity of the truck.
What is velocity vs speed?Velocity is the pace and path of an item's movement, whereas speed is really the time rate that a object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number. as the pace of a car driving south on a highway or the pace at which a rocket takes off.
Calculation :Collision energy equals collision energy before collision
Afterward, we would have;
(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)
8000 + 100 = 7100 + 400v
8100 - 7100 = 400v
v = 1000/400
v = 2.5 m/s
According to our estimation, the velocity is 2.5 m/s.
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According to the given statement 2.5 m/s is the final velocity of the truck.
What is velocity vs speed?Velocity is the pace and path of an item's movement, whereas speed is really the time rate that a object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number. as the pace of a car driving south on a highway or the pace at which a rocket takes off.
Explanation of the above answer:Collision energy equals collision energy before collision
Afterward, we would have;
(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)
8000 + 100 = 7100 + 400v
8100 - 7100 = 400v
v = 1000/400
v = 2.5 m/s
According to our estimation, the velocity is 2.5 m/s.
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Galileo's experiments showed that Aristotle's ideas about ____ were wrong.
-inertia
-types of motion
-gravity
-forces
Galileo's experiments primarily challenged Aristotle's ideas about the types of motion.
According to Aristotle, objects of different weights would fall at different speeds, with heavier objects falling faster. However, Galileo conducted experiments with inclined planes and rolling balls, showing that objects of different weights, when released from the same height, would reach the ground at the same time. This contradicted Aristotle's notion of natural motion and supported the concept of uniform acceleration due to gravity. Galileo's findings laid the foundation for the modern understanding of motion and led to the development of the principle of inertia, which states that objects will remain in their state of motion unless acted upon by an external force.
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Find the change in gravitational potential energy of each of the following a) A box of mass 10kg which is raised 1.6 meters vertically b)a lorry of mass 4000kg which travels 1600 meters up a plane, inclined at an angle of 15 degrees from the horizontal
ANSWER
\(16,233.112\text{ }J\)EXPLANATION
b) We want to find the change in gravitational potential energy of the lorry.
The change in gravitational potential energy is given by:
\(\Delta PE=mg\Delta h\)where m = mass of the lorry
g = acceleration due to gravity
Δh = change in height
Let us make a sketch of the problem:
To find the change in height, we have to apply the trigonometric ratios:
\(\sin15=\frac{\Delta h}{1600}\)Therefore, the change in height is:
\(\begin{gathered} \Delta h=1500*\sin15 \\ \\ \Delta h=414.11\text{ m} \end{gathered}\)Therefore, the change in gravitational potential energy of the lorry is:
\(\begin{gathered} \Delta PE=4000*9.8*414.11 \\ \\ \Delta PE=16,233.112J \end{gathered}\)That is the answer.
A person struggles to read by holding a book at arm's length,a distance of 45 cm away (= near point). What power of readingglasses should be prescribed for him, assuming they will be placed2.0 cm from the eye and he wants to read at the normal near pointof 25 cm? * answer: Power (P) = 2.02 D* The answer was given by my teacher, but I have no clue howto work this problem.
To calculate the power of reading glasses that should be prescribed for the person, we can use the lens formula:
1/f = 1/v - 1/u
Where:
f is the focal length of the lens (in meters)
v is the image distance (in meters)
u is the object distance (in meters)
Given:
Object distance, u = 45 cm = 0.45 m
Image distance, v = 2.0 cm = 0.02 m
Desired near point, v' = 25 cm = 0.25 m
We can rearrange the lens formula to solve for the focal length:
1/f = 1/v - 1/u
1/f = 1/0.02 - 1/0.45
Now, we can solve for the focal length:
1/f = 45 - 0.02 / (0.02 x 45)
1/f = 44.98 / 0.9
f ≈ 49.98 cm = 0.4998 m
The focal length of the reading glasses is approximately 0.4998 meters.
To find the power of the reading glasses, we can use the formula:
Power (P) = 1/f
P = 1 / 0.4998
P ≈ 2.002 D
Therefore, the power of the reading glasses that should be prescribed for the person is approximately +2.002 D (or approximately +2.0 D, considering significant figures).
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An inductor is connected to a 20 kHz oscillator that produces an rms voltage of 9.0 V. The peak current is 60 mA. What is the value of the inductance L? Final answer in mH. Please explain step by step.
The value of the inductance L is approximately 1193.25 mH.
To solve for the value of the inductance L, we can use the formula:
Vrms = Ipeak * (2 * pi * f * L)
where:
Vrms = 9.0 V
Ipeak = 60 mA = 0.06 A
f = 20 kHz
Substituting the values into the formula:
9.0 V = 0.06 A * (2 * pi * 20,000 Hz * L
Simplifying:
L = 9.0 V / (0.06 A * 2 * pi * 20,000 Hz)
L = 9.0 / (0.007536)
L = 1193.25 mH (rounded to two decimal places)
Therefore, the value of the inductance L is approximately 1193.25 mH.
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An inductor is connected to a 20 kHz oscillator that produces an RMS voltage of 9.0 V. The peak current is 60 mA. The value of the inductance L is 1.692 mH.
Let's start by using the given information and then we'll solve for the value of the inductance L step by step:
1. Frequency of the oscillator (f) = 20 kHz = 20,000 Hz
2. RMS voltage (Vrms) = 9.0 V
3. Peak current (I_peak) = 60 mA = 0.06 A
Now, let's find the peak voltage (V_peak) using the relationship between RMS voltage and peak voltage:
Vrms = V_peak / √2
V_peak = Vrms * √2
V_peak = 9.0 V * √2 ≈ 12.73 V
Next, we'll calculate the impedance (Z) of the inductor using Ohm's law, which relates peak voltage and peak current:
Z = V_peak / I_peak
Z ≈ 12.73 V / 0.06 A ≈ 212.17 Ω
Now, we'll use the formula for the impedance of an inductor:
Z = 2 * π * f * L
Let's solve for the inductance L:
L = Z / (2 * π * f)
L ≈ 212.17 Ω / (2 * π * 20,000 Hz)
L ≈ 1.692 × 10^-3 H
Finally, convert the inductance L to millihenries (mH):
L ≈ 1.692 mH
So, the value of the inductance L is approximately 1.692 mH.
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