A 15 kg runaway grocery cart runs into a spring with spring constant 270 N/m and compresses it by 64 cm.What was the speed of the cart just before it hit the spring?
Answers
The speed of the cart just before it hit the spring was 2.64 m/s.
We can use the conservation of mechanical energy to solve this problem. The initial kinetic energy of the cart is converted into potential energy stored in the spring when it is compressed.
The potential energy stored in the spring is given by:
U = (1/2) k x^2
where k is the spring constant and x is the compression distance. Substituting the given values:
U = (1/2) (270 N/m) (0.64 m)^2 = 58.368 J
At the maximum compression, all of the initial kinetic energy of the cart has been converted into potential energy stored in the spring. Therefore:
(1/2) m v^2 = U
where m is the mass of the cart and v is its initial velocity. Solving for v:
v = √(2 U / m) = √(2 (58.368 J) / 15 kg) = 2.64 m/s
Therefore, the speed of the cart just before it hit the spring was 2.64 m/s.
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Related Questions
a vector is 253 m long and points in a 55.8 degree direction, what’s the y and x- component of the vector?
Answers
Well we know the hypotenuse of the triangle which is 253 m. And we know the angle of the triangle which is 55.8 degrees. So we want to find y. And to find y we use sin. And sin is a ratio, the ratio of the opposite leg, and hypotenuse. So sin(55.8) = y/253. Now we solve for y by multiplying both sides by 253. And finally we get 209.25 as the length of the y component.
an energy of u0 is stored in an inductor when the current flowing through it is i0. if the current is doubled to 2i0, the energy stored is closest to: a) zero. b) u0 c) 2 u0 d) 4 u0 e) u0/2.
Answers
Answer:
(D - 4u0)
E (stored is proportional to I^2 if I is current thru inductor)
Please help me
27. A 20 kg object is at rest. A 6 N force pulls to the right on
the object for 10 seconds.
A) Find the impulse on the object.
B) Find the final momentum of the object.
C) What is its final velocity?
Answers
Answer:
a. 60 N*s
b. 60 (kg*m)/s
c. 3 m/s
Explanation:
Givens:
m = 20 kg
v_i = 0 m/s
t = 10 s
F = 6 N
a) Impulse:
I = F*t
I = 6 N*10 s
I = 60 N*s
b) Momentum:
p = v*m
F = m(a)
a = F/m
a = 6 N/20 kg
a = 0.3m/s^2
a = (v_f -v_i)/t
v_f = (0.3 m/s^2)*10 s
v_f = 3.0 m/s
p = 3 m/s*20 kg
p = 60 (kg*m)/s
c. Final velocity
a = (v_f -v_i)/t
v_f = (0.3 m/s^2)*10 s
v_f = 3.0 m/s
The impulse, momentum and final velocity can all be obtained from Newton's second law.
Let us recall that the impulse is obtained as the product of force and time.
Impulse = Force × time
Impulse = 6 N × 10 s = 60 Ns
From Newton's second law of motion;
F.t = mv - mu
Since the object was initially at rest;
F.t = mv
Hence, the final velocity of the object is 60 Kgms-1
The final velocity is obtained from;
F.t = mv
v = F.t/m
v = 6 × 10/20
v = 3 m/s
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the electronic crime scene is handled completely differently from a traditional crime scene.
Answers
"Yes, the electronic crime scene is handled completely differently from a traditional crime scene. The electronic crime scene refers to a crime that has taken place in the digital world.
In contrast, a traditional crime scene refers to a crime that has taken place in the physical world, and it is evident that the two scenarios are handled differently.
An electronic crime scene refers to the area or place where electronic evidence is gathered for use in investigations or legal proceedings. Electronic evidence refers to information or data stored, created, or transmitted in electronic devices, including computers, smartphones, flash drives, and other digital devices. The collection of electronic evidence differs significantly from the collection of traditional evidence. The first step is the preservation of electronic evidence. In a traditional crime scene, it is possible to cordon off the area using yellow tapes, close windows, and take photographs of the scene. However, this is not the case with an electronic crime scene since electronic evidence is intangible. This is why digital forensic investigators begin the evidence preservation process by creating a forensic image of the electronic device under investigation. This is done to prevent data loss or alteration before investigations commence.
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100-point reward!!!! Imagine you have created an ideal society and you are responsible for decisions about the types of energy your society uses. Examine the interaction between the type of society and the main source of electricity generation. Write a 3-5 paragraph essay analyzing the advantages and disadvantages of the resource you choose and how this would impact your society. Use evidence from the sources listed to support your answer.
Answers
We can make the changeover to renewable energy and create a wealthy, sustainable society for future generations with careful planning and consideration.
What is energy?Energy is the capacity to carry out activity or bring about systemic change. Mechanical energy, thermal energy, chemical energy, nuclear energy, and electromagnetic energy are just a few of the various forms it can take.
The kind of energy we consume is essential to building a society that will maintain our environment and society for future generations. We must take into account how our society's structure and the resource's effects on it interact while deciding on the primary source of power generation. Using sustainable energy sources to produce electricity is one choice. Examples include solar and wind energy.
There are several benefits to renewable energy, including its abundance and sustainability. Renewable energy sources like solar and wind power are getting more and more attention.
By 2025, renewable energy sources are anticipated to be the greatest source of electricity, according to the International Energy Agency (IEA). We can lessen our dependency on fossil fuels, which are limited resources that contribute to climate change, water pollution, and air pollution, by using renewable energy. Also, using renewable energy can boost the economy and add new jobs.
Renewable energy does have a few drawbacks, though. Renewable energy sources are frequently intermittent, which means they are not constantly accessible, which is one possible problem. The management of energy supply and demand may become difficult as a result. Moreover, constructing infrastructure for renewable energy sources might be expensive initially, but the advantages over time may outweigh these expenses.
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Two forces of magnitude 10n and 20n acting at an angle of 30 degree. what will be the x component of their resultant force?
Answers
The resultant of the forces is 29 N. Option D
What is the resultant force?The resultant force is the force that acts in a given direction. Now we have two forces as enumerated in the question.
Thus;
Resultant = √(10)^2 + (20)^2 - [2 * 10 * 20 * cos (60 - 30))
Resultant = 29 N
Thus, the resultant of the forces is 29 N.
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Missing parts;
Two forces of magnitude 10N and 20N act on a body in directions making angles 30° and 60° respectively with x-axis what is the resultant force
A.17N
B. 19N
C. 23N
D. 29N
E. 37N
The ____________ is a phenomenon that occurs when electrons are ejected from a piece of metal after light has been shined onto the metal surface.
Answers
Answer:
Photoelectric Effect
Explanation:
Photoelectric Effect is a phenomenon in which electrically charged particles are released from or within a material when it absorbs electromagnetic radiation.
which constellation is in contrast with ursa major
Answers
Answer: Ursa Major (/ˈɜːrsə ˈmeɪdʒər/; also known as the Great Bear) is a constellation in the northern sky, whose associated mythology likely dates back into prehistory. Its Latin name means "greater (or larger) she-bear," referring to and contrasting it with nearby Ursa Minor, the lesser bear.
Bordering constellations: Draco; Cameloparda...
Brightest star: ε UMa (Alioth) (1.76m)
Meteor showers: Alpha Ursa Majorids; Leonid...
Symbolism: the Great Bear
Describe a situation in which friction changes the direction of a moving object.
Answers
Consider a person trying to push a large crate across a floor, as in the diagram. As they apply a force to push the crate along the floor in one direction, a frictional force is generated in the opposite direction.
\(study \: well.....\)
A laser beam is is pointed perpendicular to the surface of water in a glass aquarium that is tilted at 30° as shown in the figure above. Ignore any effects of the glass on the beam path. Point P lies directly under the laser as illustrated by the dashed line Where will you observe the laser beam hitting the table? A. To the left of point P B. The beam will not hit the table because it will undergo total internal reflection. C. To the right of Point P D. At point P
Answers
To the right of Point P. So,the correct answer is C.
Where will you observe the laser beam hitting the table?When a laser beam is pointed perpendicular to the surface of water in a tilted glass aquarium, it enters the water vertically. The light undergoes refraction, which causes it to change direction as it passes from air (less dense medium) into water (denser medium).
According to Snell's Law, the light bends towards the normal as it enters the water, causing the beam to travel through the water at an angle. The glass aquarium is tilted at 30°, which means that the water surface is not parallel to the table.
As the refracted light travels through the water, it eventually reaches the water-air interface at the bottom of the tilted aquarium. When the light exits the water and enters the air, it refracts again. This time, the light bends away from the normal due to the transition from a denser medium (water) to a less dense medium (air).
As a result, the laser beam will hit the table at a point to the right of Point P. The tilted water surface causes the beam to exit the water at an angle and deviate from the original vertical path, making it appear shifted to the right of the original position below the laser.
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What is best for magnets? Aluminum Silver Plzzzzz help
Answers
Answer:
Aluminum
Explanation:
Silver is not good for magnets, it doesn't hold magnetic properties. Hope this helps.
Answer:
Aluminum
All the elements that are magnetic:
Iron
Cobalt
Nickel
Aluminum
Neodymium
Samarium
Boron
Dysprosium
Chromium
Zinc
Barium
Strontium
Bismuth
As you can see silver is not on the list of every elements that are magnetic and aluminum is.
Hope this helps!
The drop in potential across a resistor in a circuit is 40 V. What is the current
flowing through the resistor if the resistance is 2.0 0? (use Ohmis law. V = IR
Answers
Answer:
Current, I = 20 Amperes.
Explanation:
Given the following data;
Voltage = 40 V
Resistance = 2 Ohms
To find current flowing through the resistor;
Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.
Mathematically, Ohm's law is given by the formula;
\( V = IR\)
Where;
V represents voltage measured in voltage.
I represents current measured in amperes.
R represents resistance measured in ohms.
Making current (I) the subject of formula, we have;
\( I = \frac {V}{R} \)
Substituting into the formula, we have;
\( I = \frac {40}{2} \)
Current, I = 20 Amperes.
Fred is conducting a controlled experiment to test whether using a grow light at night will help a tomato plant grow faster. Below are the steps to Fred's experiment: Plant tomato plants in two separate, but identical, flowerpots. Place the flowerpots in the same area outside during the day. At night, bring both flower pots inside and place one in the dark and one under a grow light. Give the plants the same amount of food and water each week. Measure the growth of the plants. Draw conclusions based on the data collected. Which of the following variables must Fred hold constant in this experiment?
Answers
Answer:
the type of tomato plants used.
Explanation:
A ball of mass 4 kg is initially traveling at 2 m/s and has a 5 N force applied to it for 3 s. What is the final velocity of the ball?
A. 4 m/s
B. 12 m/s
C. 5.75 m/s
D. 3.25 m/s
Answers
Answer:
the answer to your question will be D
Explanation:
5 N* 3S =3.25
The Moon has a mass of 7.35 * 1022 kg, and a radius of 1.737 * 106 m. Based on
these values, what is the acceleration due to gravity on the surface of the Moon?
Answers
Answer:
1.63 \(ms^{-2}\)
Explanation:
The equation \(g = \frac{G*M}{R^2}\) would be used where:
g = acceleration due to gravity
G = universal gravitational constant (6.67408 × \(10^{-11}\) \(m^{3} kg^{-1} s^{-2}\))
M = mass
R = radius.
assuming the values following both 10s of the mass and radius are their exponents, which is a little confusing, the values given would simply be substituted.
Anyone can correct me if I'm wrong.
The muscular system supports the body with structure.
true or false
Answers
Answer:
False I think
Explanation:
My reason why is because the muscular systems is when the brain sends signals to move the body
Simpson drives his car with an average velocity of 12 m/s to the east. How long will it him to drive 1440m on a straight road in seconds?
Answers
Answer:
1440÷12=120
Explanation:
because u have to divide the mitre with the 12 m
what would it weigh on the surface of pluto, where g is 0.0673 times that on earth? give your answer in units of newtons
Answers
The weight of the object on Pluto would be 6.587 Newtons (N).
To calculate the weight on Pluto, we need to use the formula:
Weight = Mass x Gravity
where Mass is the mass of the object and Gravity is the gravitational acceleration on Pluto.
Let's assume the mass of the object is 10 kg.
On Pluto, the gravitational acceleration is 0.0673 times that on Earth, which means:
Gravity on Pluto = 0.0673 x 9.81 m/s² = 0.6587 m/s²
Therefore, the weight of the object on Pluto would be:
Weight = 10 kg x 0.6587 m/s² = 6.587 N
So, the calculation says that the weight of the 10 kg object on Pluto would be 6.587 Newtons (N).
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If the marginal revenue is greater than the average revenue, average revenue increases true or false
Answers
False. Marginal revenue is the additional revenue generated by selling one more unit of a product, while average revenue is the total revenue divided by the number of units sold.
If the marginal revenue is greater than the average revenue, it means that each additional unit sold is generating more revenue than the average. However, this does not necessarily mean that the average revenue will increase. It depends on the price elasticity of demand for the product. If demand is elastic, increasing the price to take advantage of the higher marginal revenue will result in a decrease in sales and therefore a decrease in average revenue.
On the other hand, if demand is inelastic, increasing the price may result in an increase in average revenue despite the decrease in sales volume. Overall, the relationship between marginal revenue and average revenue is complex and cannot be generalized.
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The largest deflection from the isoelectric line in the ECG is found in the Multiple Choice P wave. T wave. T-P segmept. QRS complex. P-R interval.
Answers
The largest deflection from the isoelectric line in the ECG is found in the QRS complex and is therefore denoted as option D.
What is a Wave?
This is referred to as a disturbance that travels through a medium from one location to another location.
QRS complex is the combination of three of the graphical deflections seen on a typical electrocardiogram which are Q wave, R wave and S wave. It is usually the central and most visually obvious part of the tracing because it has the largest deflection from the isoelectric line
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A disk is rotating with an angular velocity function given by ω = Kt + L. What is the angular acceleration of the disk att = T? Zero KT K KT KT+L K/2 T^2+ LT
Answers
The angular acceleration of the disk which is rotating with an angular velocity function given by ω = Kt + L is K.
The angular velocity function given is ω = Kt + L, and the angular velocity of the disk at time t = T is given as ω(T) = K T + L.
We need to find the angular acceleration of the disk at t = T.
The formula to find the angular acceleration is:-
α=Δω/Δt
Differentiating the given velocity function with respect to t gives the angular acceleration of the disk.
α=dω/dt=K (t=T)= K
Therefore, the angular acceleration of the disk at t = T is K. Hence, the correct answer is "K".
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Module 3 Discussion!
After reading Ch.12 and 13 of the text (The essentials of Finance and Accounting for nonfinancial managers/ Third Edition) on Strategy and Financial Forecasting, watching the SWOT video based on Paley’s Products from the Ratio Analysis in Module 2 and the additional narrative information in Appendix C, Phase
Create a SWOT analysis that will reflect the TOWS analysis as described in Ch. 12 of the text. The purpose of the SWOT analysis is to lay out several issues and possibilities to be considered in Paley’s strategic planning. The strengths and weaknesses are internal issues, whereas the opportunities and threats are external.
The second part of the analysis is to create actions based on the SWOTs. This is sometimes called a TOWS analysis and is done by comparing the boxes, two at a time:
Offensive actions come from strengths that link to opportunities, so a specific strength can be applied to exploit an opportunity.
Adjusting actions come from addressing weaknesses, which then can be used to exploit opportunities that previously had not been possible.
Turnaround actions come from weaknesses that link to threats. These are high-risk issues where a priority needs to be given to addressing the weakness to minimize the vulnerability.
Defensive actions come from threats that link to strengths. These are latent issues because if the threat materializes, an already-existing strength is available to counter it.
Additional actions can be included to address other issues not directly identified in the SWOTs.
3. From the actions identified in part 2, pick 3-5 strategic actions that you feel Paley must achieve or at least start in the upcoming year and state your reasons for including them.
Attach your completed SWOT form and list of strategic actions with supporting logic and facts from the case as your answer for this discussion question. These actions are the foundation for the strategic plan
Answers
SWOT Analysis Strengths- Paley’s Products has a low overhead cost with the company operating at a high level of efficiency, resulting in competitive pricing.- They have a team of experienced employees who have worked in the industry for several years.- They have a variety of products in the portfolio that can satisfy customers from different sectors.- They are reputable and have a loyal customer base.Weaknesses- They have been slow to adopt new technology, and this may be a disadvantage to the company.- Limited marketing and sales promotion are affecting their sales revenue.-
They depend on a few key customers for the bulk of their sales revenue, leaving them vulnerable to market changes.Opportunities- Expansion of the product line to include unique products.- The establishment of strategic partnerships with other businesses in the industry.- Exploration of new markets, such as international markets.- Improvement of marketing techniques to increase brand awareness.Threats- Changes in consumer preferences towards environmentally friendly products.- Increase in competition from other businesses in the industry.- Fluctuating market prices for raw materials that may lead to price increases.
Strategic Actions to be taken by Paley Products1. Development of an E-commerce platform to allow online transactions with customers. The E-commerce platform will enable Paley to reach a wider customer base, expand its reach, and increase sales revenue.2. Investment in the research and development of new environmentally friendly products. Paley will remain competitive and cater to the needs of consumers who prefer green products.3. Establishment of strategic partnerships with other businesses in the industry to leverage the strength of other companies in the industry and to develop new products or increase market share.4. Improvement of marketing techniques to increase brand awareness and improve visibility. A marketing strategy that incorporates social media and other digital channels can help promote the brand to potential customers.5. Expansion into international markets. This will enable Paley to diversify its customer base and generate more revenue. Paley can start by targeting nearby countries, then expand globally as they gain more experience and financial stability.
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A 200 ohm resistor is connected to an AC source with peak emf = 10V. What is the peak current through the resistor if the emf frequency is a) 100 Hz b) 100 kHz?
Answers
The peak current through 200 ohm resistor for both the cases 50mA.
The number of turns times the size of the coil times the magnetic field's intensity times the angular speed equals peak emf.
The largest amount of current that an output is capable of providing for brief periods of time is known as the peak current. When an electrical device or power source is turned on for the first time, a large initial current known as the peak current flows into the load, starting at zero and increasing until it reaches a peak value.
Formula for the peak current is
peak current=\(\frac{peak voltage}{resistance}\)
As in the formula it does not matter whether frequency changes or not.
So, peak current in both cases will be
peak current=\(\frac{10}{200}\)
peak current=50mA
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which set(s) of waves travels through the earth's interior?
Answers
The set of waves that travels through the Earth's interior consists of seismic waves.
Seismic waves are waves of energy that are generated by various sources, such as earthquakes, volcanic activity, or human-made explosions. These waves propagate through the Earth's layers, providing valuable information about the Earth's interior structure.
There are two primary types of seismic waves: P-waves (primary waves) and S-waves (secondary waves). P-waves are compressional waves that can travel through solids, liquids, and gases. They are the fastest seismic waves and are capable of traveling through the Earth's interior in a straight line. S-waves, on the other hand, are shear waves that can only travel through solids. They are slower than P-waves and can only propagate through the solid layers of the Earth.
In addition to P-waves and S-waves, there are also surface waves, which travel along the Earth's surface and are responsible for the most significant damage during earthquakes. Surface waves include Rayleigh waves and Love waves.
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A satellite is acted upon by a 10n force upwards and 20n force downwards. What is the net force acting on the satellite and what direction will it move in
Answers
Answer:
Net force = 10 N in downward direction
Explanation:
Given that,
Upward force = 10 N
Downward force = 20 N
Let downward is negative and upward is positive.
Net force = 10+(-20)
= -10 N
So, the net force is 20 N and it is acting in downward direction.
Give two examples of solids whose motion is: a) rectilinear translation. b) curvilinear translation. c) rotational.
Answers
Answer:
b one is correct........I wish u give me mark as brainlliest
i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance from A to B and final velocity of the ball just reach before C. mass =5 kg, total height (h)= 100m
Answers
The total energy of the body at evevry point is remained same due to the law of conservation of energy. Distance from A to B and final velocity of the ball just reach before C is 44.3 m/s.
d (distance) from A to B is = √2gh
In this case given are, g = 9.8 m/s² and h = 100m,
so here d = √(2⋅9.8⋅100) = 44.3m.
Final velocity ,v = √2gh
Here given are , v is the velocity, g is the acceleration due to gravity, and h is the height. In this case,
g = 9.8 m/s² ,h = 100m,
v = √(2⋅9.8⋅100)
= 44.3 m/s (final velocity)
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can someone give me the answers to this question
Answers
Answer:
Rubbing his hand and ironing is Mechanical Energy being transformed into Thermal Energy.
Throwing a rock vertically in using Kinetic Energy, it then transforms into Gravitational Energy as the rock falls.
Explanation:
First, as Kwane rubbing his and and iron his clothes using the energy to create heat, that is thermal being transformed.
The rock being thrown uses kinetic energy and due to graviational force of the earth, it is being transformed into Potential Gravitational Energy.
to determine the weight of object, you could? (a) use a beam balance (B) Use a spring balance (c) find the force necessary to give it a certain acceleration (d) use none of the above (e) use any of these methods
Answers
Answer:
A physical balance can be used to measure both mass and weight of an object.
Explain how land breezes occur, in as much detail as you can
Answers
Answer:
The air over the ocean is now warmer than the air over the land. The land loses heat quickly after the sun goes down and the air above it cools too. This causes a small temperature gradient between the ocean surface and the nearby land at night and the wind will blow from the land to the ocean creating the land breeze.
Explanation: