Answer:
The maximum coefficient of static friction required to pull the box will be 0.4.
Explanation:
We have given a box of mass 2 kg and Force of 50 N. (g=10m/s)
As we know,
Coefficient of static friction: μ = F/N (I)(F=ma, a= g)
Putting value in equation (I), we get
μ= mg/
μ=2×10/50
μ=0.4
A crate is pulled due south with a force of 350. N. What other force must be applied if the
net force on the crate is 425 N due north? Enter the magnitude (with units) and direction
(north, south, east, west).
Answer:
775 N due North.
Explanation:
If the crate is pulled South with 350 N force, and the net force on the crate results into 425 N due North, then the other force (F) acting must be larger than the 350 N, and pointing North:
F - 350 N = 425 N
F = 425 N + 350 N = 775 N due North.
Match these items.
1. 1000 g
mixture
2. 1/1000 g
speed
3. negative particle outside nucleus
potential
4. km/h
electrons
5.
energy at rest
milligram
6. centimeter
cm
7. sawdust + salt + iron filings
work
Answer:
milligram 1000g
kilogram 1/1000 g
electrons negative particle outside nucleus
speed km/h
potential energy at rest
mixture sawdust + salt + iron filings
Explanation:
:D
1. 1000g -kilogram
2.1/1000 g - milligram
3. negative particle outside nucleus - electrons
4. km/h - speed
5.energy at rest - potential
6. centimeter - cm
7. Sawdust + salt + iron filings - mixture
What is potential energy?The energy by virtue of its position is called the potential energy.
The km/h is the unit of speed.
Milligram is written as 1/1000 g.
1000 g is equal to 1 kilogram.
Electron are the negatively charged subatomic particles rotating outside the nucleus.
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what's the use of an alternator on the car egine
Answer:
An alternator is a type of electric generator used in modern automobiles to charge the battery and to power the electrical system when its engine is running. Until the 1960s, automobiles used DC dynamo generators with commutators. As silicon diode rectifiers became widely available and affordable, the alternator gradually replaced the dynamo.
Explanation:
What is the momentum of a 0.50 kg apple falling at 0.10 m/s? O 5 kg *m/s downward O 15 m/s/s downward O 5 m/s/s downward O 0.05 kg*m/s downward
Answer:
0.05 kg*m/s downward
Explanation:
The momentum of an object is equal to its mass multiplied by its velocity. In this case, the mass of the apple is 0.50 kg and its velocity is 0.10 m/s, so the momentum of the apple is:
0.50 kg * 0.10 m/s = 0.05 kg*m/s
Therefore, the correct answer is D: 0.05 kg*m/s downward.
Lam Lesson Name: Uncovering Your Personality
m number: 700047RR
Exam Guidelines
Exam Instructions
Question 10 of 20:
Select the best answer for the question.
10. Which characteristic of a turbulent person causes them to always strive for self-improvement, and to never see accomplishing a goal as good enough?
O A. Confident
B. Self-critical
O C. Ignorant
O D. Calm
Mark for review (Will be highlighted on the review page)
ex Previous Question
Next Questin
Review My F
The correct answer is Self-critical.
Why is self-improvement?
Enhancing strengths, mental health, and even mending relationships benefit self-improvement. Simple actions like reading a book, trying something new, meditating, or even getting up early are some ways to improve oneself. There are so many easy, efficient methods to begin the process of improving oneself.A self-improvement strategy enables you to build the life you want for yourself. It enables you to maintain perspective on your priorities and the things most important to you in life to experience greater meaning and fulfillment.Self-development is taking steps to better yourself, such as by learning new skills or overcoming bad habits. An example of self-development is taking courses at the university to learn new skills and interesting things.Self-critical:
Self-critical causes them to always strive for self-improvement and never to see accomplishing a goal as good enough.
The characteristic of a turbulent person causes them to always strive for self-improvement and to never see accomplishing a goal as good enough is Self-critical.
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What is magnestism? Explain
Answer:
a physical phenomenon produced by the motion of electric charge, which results in attractive and repulsive forces between objects.the ability to attract and charm people.Answer:
Magnetism is the force of attraction or repulsion between substances.
Magnetism is defined as an attractive and repulsive phenomenon produced by a moving electric charge. The affected region around a moving charge consists of both an electric field and a magnetic field. The most familiar example of magnetism is a bar magnet, which is attracted to a magnetic field and can attract or repel other magnets.Magnetism is caused by the electromagnetic force, which is one of the four fundamental forces of nature. Any moving electric charge (electric current) generates a magnetic field perpendicular to it.
An electron, moving toward the west, enters a uniform magnetic field. Because of this field the electron curves upward. The direction of the magnetic field is An electron, moving toward the west, enters a uniform magnetic field. Because of this field the electron curves upward. The direction of the magnetic field is downward. towards the west. upward. towards the south. towards the north.
Answer:
towards the north.
Explanation:
The uniform magnetic field has strength and direction in all points. The upwards motion of the field or he electronic curves will show a northern direction. Hence, the field can be created by taking the opposite magnetic in the two directions. The straight line of motion of the field will indicate the flow in the north direction. The magnetic field lines will remain parallel and stay uniform to poles.What are the principles that no
one could make you abandon no matter what?
Who do you think you would most likely abandon
your principles for and under what circumstances.
Use examples.
Answer:
There are seven principles that form the content grounds of our teaching framework:
Non-maleficence. ...
Beneficence. ...
Health maximisation. ...
Efficiency. ...
Respect for autonomy. ...
Justice. ...
Proportionality.
can a body have an east velocity while expressing westward acceleration
Yes it can, an object can be moving a certain direction while the ACCELERATION is in the opposite direction.
Lets say your riding a bike... if your squeezing your handle bar breaks, the acceleration of the bike would be pushing in the opposite direction of the direction the bike is moving.
Hope this helped!
I'll GIVE ALL MY POINTS: 30!!!!! hurrryyyyy
Survey Testing the Perceived Usability of the New E-mail System
Instructions: Please indicate the degree to which you agree with the following statements using the scale below:
1
2
3
4
Strongly Agree
Agree
Somewhat Agree
Disagree
1. Using the new e-mail system in my work group allows me to complete work more quickly and effectively.
2. Using the new e-mail system ameliorates the execution of phenomenal behavior in the room within which work takes place.
3. Using the new e-mail system for my work increases my productivity so that I can receive a good rating from my supervisor.
5. Using the new e-mail system makes it easier to prepare for meetings and finish my work on time.
There are about eight things wrong with the survey above. Below, name six things you would change based on the lesson commentary recommendations. Number your answers.
Usability of the New E-mail System 1. Substitute a more descriptive scale, such as "Strongly Agree," "Agree," "Somewhat Agree," "Somewhat Disagree," "Disagree," and "Strongly Disagree" for the numerical scale.
Simply remove the numerical scale and insert the more descriptive scale in its place to do this. The first sentence, for instance, may be altered to read "I can work more quickly and efficiently in my work group since we use the new e-mail system. Use the following scale to indicate your level of agreement with this statement: Strongly Agree, Agree, Somewhat Agree, Somewhat Disagree, Disagree, Strongly Disagree."
2. Ensure that the questions are precise and short.
You must make sure the questions are simple to grasp, not too long or difficult to answer, and plain and succinct. For instance, you could reword the survey's second statement to read, "Does using the new e-mail system boost my work performance?"
3. Check if the survey's questions are pertinent to the subject at hand.
The survey topic should be addressed by the questions. The survey in this instance concerns how usable people believe the new email system to be. Therefore, this subject should be the subject of all queries. The third statement in the survey has to be changed or removed because it has nothing to do with the subject matter.
4. Only posit inquiries that can be fully answered.
The questions ought to be created in a way that allows for truthful responses. The inquiries must to be clear and devoid of any possibility for interpretation. The fourth line, for instance, may be changed to read, "Using the new e-mail system makes it easier for me to prepare for meetings and finish my work on time?"
5. If necessary, give the questions context.
It could occasionally be required to provide the questions background. How simple is it for you to use the new e-mail system to get ready for meetings and finish your work on time, for instance, is how the fifth sentence may be phrased.
6. Lower the overall number of inquiries.
It's crucial to limit the overall number of inquiries to minimum.
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a 50kg skater on level ice, has built up her speed to 30km/h. how far will she coast before sliding friction dissipates her energy?
Answer:
belpw
Explanation:
The distance prior to the sliding friction dispersing her energy would be:
- The distance will remain unaffected by the sliding friction i.e. 354m
As we know, When Sliding friction dissolves her energy, leading her Kinetic Energy to turn 0 on coming to the state of rest. So,
\(1/2 mv^2 - 1/2 mu^2 = -W\) (∵ Work in -ve denotes it is done opposite to friction)
Given that,
m(mass) \(= 50 kg\)
v(velocity) \(= 30 km/hr\) or \(8.33 m/s\)
The coefficient of Kinetic Friction \(= 0.01\)
g(gravitational force) \(= 9.8 m/s^2\)
Initial Velocity(u) \(= 30\) × \(1000/3600 m/s\)
\(= 8.33 m/s\)
Now by employing the provided values,
\(F =\) μ\(mg\)
\(= (0.01) (50) (9.8)\)
\(= 4.9\)
∵ \(F = 4.9 N\)
By using the above expression, we will find the distance;
\(1/2 mv^2 - 1/2 mu^2 = -W\)
⇒ \(1/2 (50) (0)^2 - 1/2 (50) (8.33)^2 = -4.9(S)\)
⇒ \(1734.7225 = 4.9S\)
⇒ \(S = 1734.7225/4.9\)
∵ \(S = 354 m\)
Because \(1/2 mv^2 - 1/2 mu^2 = -W\) \(= -\) μmgS
⇒ \(S = (u^2 - v^2)\)/2μ\(g\)
Thus, the distance will remain unaffected by the sliding friction i.e. 354m
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A solid sphere with a radius of 5cm initially at rest rolls 270cm down a slope 37° above the horizontal. What is its velocity (rad/s) at that point? [PS: it has not reached the foot of the slope]
This question involves the concepts of the law of conservation of energy, kinetic energy, potential energy, and moment of inertia.
The angular velocity of the solid sphere at this point is "95.44 rad/s".
According to the law of conservation of energy:
Loss in Potential Energy = Gain in Rotational Kinetic Energy + Gain in Translational Kinetic Energy
\(mgh = \frac{1}{2}I\omega^2+\frac{1}{2}mv^2\)
where,
m = mass of sphere
g = acceleration due to gravity = 9.81 m/s²
h = loss in height = (270 cm) Sin 37° = 162.5 cm = 1.625 m
r = radius of sphere = 5 cm = 0.05 m
ω = angular speed of sphere = ?
v = linear speed of sphere = rω
I = moment of inertia of sphere = \(\frac{2}{5}mr^2\)
Therefore,
\(mgh=\frac{1}{2}\frac{2}{5}mr^2\omega+\frac{1}{2}m(r\omega)^2\\\\gh=\frac{1}{5}r^2\omega^2+\frac{1}{2}r^2\omega^2\\\\(9.81\ m/s^2)(1.625\ m)=(\frac{1}{5}+\frac{1}{2})(0.05\ m)^2\omega^2\\\\\omega=\sqrt{\frac{15.941\ m^2/s^2}{0.00175\ m^2}}\)
ω = 95.44 rad/s
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The attached picture explains the law of conservation of energy.
24. A total of 165 J of work is done on a gaseous refrigerant as it undergoes compression. If the internal energy of the gas increases by 123 J during the process, what is the total amount of energy transferred as heat
The total amount of energy transferred as heat is equal to 288 Joules.
Given the following data:
Internal energy = 123 Joules Work done = 165 JoulesTo calculate the total amount of energy transferred as heat, we would apply the first law of thermodynamics.
The first law of thermodynamics.Mathematically, the first law of thermodynamics is given by the formula:
\(\Delta E = Q - W\)
Where;
\(\Delta E\) is the change in internal energy.Q is the quantity of heat transferred.W is the work done.Substituting the given parameters into the formula, we have;
\(123 = Q - 165\\\\Q=123+165\)
Q = 288 Joules.
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what are the characteristics of a partnership
Answer:
please mark me branlist
2 If we want to test the strength of electrical forces between a pair of charged objects, which of the following questions should we ask? A B How much mass does each object have? D Are the objects made up of the same material? C Does each object sink or float in water? What happens when the objects are moved further apart?
Electric force is the attracting or repulsive interaction between any two charged things. Similar to any force, Newton's laws of motion describe how it affects the target body and how it does so. One of the many forces that affect objects is the electric force.
The electric force F, or Coulomb force, exerted per unit positive electric charge q at that place can be used to determine an electric field's strength, or E = F/q.
The amount of charge on the source charge (Q) and the distances from the source charge (d) both affect how strong the electric field is.
To test the strength of electrical forces we should ask the following questions:
What is the mass of each object?Is the substance the objects are made of the same?The volt per meter (V/m or Vm-1) is the common unit. A potential difference of 1 V between sites separated by 1 meter is represented by a field strength of 1 V/m. Electric field intensity is another name for electric field strength. An electric field is created by any electrically charged item.
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What order does energy flow: sun prodecer consumer?
Energy flows from the Sun to producers, then to primary consumers, secondary consumers, and potentially to tertiary consumers, forming a pyramid-shaped structure that represents the transfer of energy through different trophic levels in an ecosystem.
Energy flows in a specific order through various components of an ecosystem, starting with the Sun and progressing through producers and consumers. This flow of energy is known as the energy pyramid or trophic levels.
At the base of the energy pyramid is the Sun, which is the ultimate source of energy for most ecosystems on Earth. Sunlight provides the energy needed for photosynthesis, a process carried out by plants, algae, and some bacteria, collectively known as producers. These organisms convert solar energy into chemical energy through photosynthesis, using carbon dioxide and water to produce glucose and oxygen. This process captures and stores energy in the form of organic compounds.
The next level in the energy pyramid consists of primary consumers, also known as herbivores. These are animals that feed directly on producers, such as grazing animals or insects that consume plants. Herbivores obtain energy by consuming plant material and breaking down the organic compounds present in the plants into simpler forms, such as sugars and amino acids, through digestion.
Above the primary consumers are the secondary consumers, which are carnivores or omnivores that feed on herbivores. They obtain energy by consuming primary consumers and breaking down the organic compounds in their prey through digestion. This energy transfer continues up the trophic levels, with each level consuming the one below it.
At the top of the energy pyramid are tertiary consumers, which are typically apex predators. They are carnivores that consume other carnivores. Tertiary consumers obtain energy by consuming secondary consumers and breaking down the organic compounds in their prey.
It's important to note that energy is not efficiently transferred between trophic levels. Only a fraction of the energy consumed at each level is converted into biomass and passed on to the next level. This inefficiency is due to processes such as respiration, heat loss, and incomplete digestion.
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Find the inverse of the matrix
Given matrix A= \(\left[\begin{array}{ccc}2&3&-1\\1&1&1\\-1&1&2\end{array}\right]\)
Inverse of matrix = \(A^{-1}\) = Adjugate A/ Determinant A
\(A^{-1}\) = (Adj. A)/ |A|
A particle leaves the origin with a speed of 3 106 m/s at 38 degrees to the positive x axis. It moves in a uniform electric field directed along positive y axis. Find Ey such that the particle will cross the x axis at x
Answer:
If the particle is an electron \(E_y = 3.311 * 10^3 N/C\)
If the particle is a proton, \(E_y = 6.08 * 10^6 N/C\)
Explanation:
Initial speed at the origin, \(u = 3 * 10^6 m/s\)
\(\theta = 38^0\) to +ve x-axis
The particle crosses the x-axis at , x = 1.5 cm = 0.015 m
The particle can either be an electron or a proton:
Mass of an electron, \(m_e = 9.1 * 10^{-31} kg\)
Mass of a proton, \(m_p = 1.67 * 10^{-27} kg\)
The electric field intensity along the positive y axis \(E_y\), can be given by the formula:
\(E_y = \frac{2 m u^2 sin \theta cos \theta}{qx} \\\)
If the particle is an electron:
\(E_y = \frac{2 m_e u^2 sin \theta cos \theta}{qx} \\\)
\(E_y = \frac{2 * 9.1 * 10^{-31} * (3*10^6)^2 *(sin38)( cos38)}{1.6*10^{-19} * 0.015} \\\)
\(E_y = 3311.13 N/C\\E_y = 3.311 * 10^3 N/C\)
If the particle is a proton:
\(E_y = \frac{2 m_p u^2 sin \theta cos \theta}{qx} \\\)
\(E_y = \frac{2 * 1.67 * 10^{-27} * (3*10^6)^2 *(sin38)( cos38)}{1.6*10^{-19} * 0.015} \\\)
\(E_y = 6.08 * 10^6 N/C\)
1. What is the function of a lightning rod?
2. How is charge build-up reduced on airplanes?
3. Why is a ground strap a necessary safety feature when transferring fuel?
4. What are three different methods for reducing charge build-up in clothes dryers?
5. What are four different methods for reducing charge build-up in a computer room with a carpet?
1.) To protect buildings, structures and people from lightning strikes ; 2.) Using materials that are good conductors of electricity ;3.)Provides low-resistance path for any static electricity ; 4.)Dryer sheets, damp towel or washcloth to dryer, metal dryer ball or other anti-static device; 5.)Anti-static mats, humidifiers, anti-static wrist straps and cleaning carpets.
What is the function of a lightning rod?1. Function of lightning rod is to protect buildings, structures, and people from lightning strikes. It works by providing a low-resistance path for lightning current to follow, directing it safely into ground.
2. Charge build-up on airplanes is reduced by using materials that are good conductors of electricity, such as aluminum, to help distribute any charge that builds up across the surface of the airplane.
3. Ground strap is a necessary safety feature when transferring fuel because it provides low-resistance path for any static electricity that may build up during transfer process.
4. Three methods for reducing charge build-up in clothes dryers are as :
Using dryer sheets or fabric softeners, which can help to dissipate any static charge that may build up on clothes during drying process.
Adding damp towel or washcloth to dryer, which can help to increase humidity inside the dryer and reduce the likelihood of static build-up.
Using metal dryer ball or other anti-static device, which can help to neutralize any charge that may build up on clothes.
5. The four methods for reducing charge build-up in computer room with carpet are as follows:
Using anti-static mats or flooring, which can help to dissipate any static charge that may build up on carpet.
Installing humidifiers, which can help to increase the humidity in room and reduce the likelihood of static build-up.
Using anti-static wrist straps or other grounding devices when handling sensitive electronic equipment, to help discharge any static electricity that may have built up on body.
Regularly cleaning carpet with a vacuum cleaner that is equipped with anti-static brush or hose, which can help to remove any static charge that may have built up on carpet fibers.
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What is the result of two displacement vectors having opposite directions? Question 6 options: The resultant is the sum of the two displacements, having the same direction as the smaller vector. The resultant is the sum of the two displacements, having the same direction as the larger vector. The resultant is the difference of the two displacements, having the same direction as the smaller vector. The resultant is the difference of the two displacements, having the same direction as the larger vector.
The resultant of two displacement vectors having opposite directions is the difference of the two displacements, having the same direction as the smaller vector.
When two displacement vectors have opposite directions, it means they are pointing in opposite ways. In other words, one vector is in the opposite direction of the other. To find the resultant of these vectors, we need to subtract one vector from the other.
If we consider two displacement vectors, let's say vector A and vector B, and they have opposite directions, we can represent them as A and -B.
To find the resultant, we subtract vector B from vector A: A - (-B) or A + B.
The resultant will have the same direction as the smaller vector. This is because when we subtract a larger vector from a smaller vector, the resultant will have the direction of the smaller vector.
Therefore, the correct option is: "The resultant is the difference of the two displacements, having the same direction as the smaller vector."
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A vector has the components Ax=29 m and Ay= 18 m. What is the magnitude of this vector? What angle does this vector make with the positive x axis?
The magnitude of the vector is approximately 35.85 m.
The angle that this vector makes with the positive x-axis is approximately 32 degrees.
What is the magnitude of this vector?
To find the magnitude of the vector with components Ax=29 m and Ay=18 m, we use the Pythagorean theorem:
|A| = √(Ax^2 + Ay^2)
|A| = √(29^2 + 18^2)
|A| = √(841 + 324)
|A| = √1165
|A| = 34.13 m
To find the angle that this vector makes with the positive x-axis, we can use the inverse tangent function:
θ = tan^-1(Ay/Ax)
θ = tan^-1(18/29)
θ = 31.82 degrees
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Select the correct answer.
Which statement is true for a series circuit?
• A.
The voltage is the same
across all resistors in the circuit.
O B. As more resistors are added, the current will increase.
O C. The average of the voltage drops will be the total voltage in the circuit.
O D.
The current is the same across all resistors in the circuit.
O E.
The equivalent resistance will be less than the
resistance of each individual resistor.
Reset
Next
Answer:
D. The current is the same across all resistors in the circuit.
Explanation:
In a series circuit, all circuit elements are connected so that there is exactly one current path. That path goes through each of the elements of the circuit.
The current is the same through all resistors in a series circuit.
Which 5 are examples of locomotor movements? Select all that apply.
Question 1 options:
Hopping
Galloping
Sitting
Sleeping
Walking
Running
Skipping
Eating
Answer:
Five examples of locomotor movements are:
Hopping
Galloping
Walking
Running
Skipping
Explanation:
I hope it helps ❤❤
Calculate Time
d
12. A vehicle drives a distance of 26000 m at a speed of 65m/s, calculate the time taken for
this journey.
13. A train travels at a speed of 16 m/s and travel a distance of 3200 m, calculate the time it
takes the train to complete this journey.
urs 14. Calculate the time it takes to travel a distance of 672 km at a speed of 96 km/h.
15. A beetle travels at a speed of 0.09 m/s, it travels a distance of 1.08 m before it is caught
in a jar. Calculate the time taken for the beetle to run.
16. Carlisle is a distance of 35 miles away from Lockerbie. If I travelled at a constant speed
5147
deudate the time takon for this journey
12. The time taken for the journey is 400 s
13. The time taken for the train is 200 s
14. The time taken is 7 h
15. The time taken for the beetle is 12 s
16. The time taken for the journey is 0.0068 h
How do i determine the time taken?The time taken in each case as given by the question can be obtain as follow:
12. The time taken for the journey
Distance traveled = 26000 mSpeed = 65 m/s Time taken =?Time taken = Distance / Speed
Time taken = 26000 / 65
Time taken = 400 s
13. The time taken for the train
Distance traveled = 3200 mSpeed = 16 m/s Time taken =?Time taken = Distance / Speed
Time taken = 3200 / 16
Time taken = 200 s
14. The time taken to travel
Distance traveled = 672 kmSpeed = 96 Km/h Time taken =?Time taken = Distance / Speed
Time taken = 672 / 96
Time taken = 7 h
15. The time taken for the beetle
Distance traveled = 1.08 mSpeed = 0.09 m/s Time taken =?Time taken = Distance / Speed
Time taken = 1.08 / 0.09
Time taken = 12 s
16. The time taken for the journey
Distance traveled = 35 milesSpeed = 5147 mile per hourTime taken =?Time taken = Distance / Speed
Time taken = 35 / 5147
Time taken = 0.0068 h
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which category would a person who has an IQ of 84 belong ?
Part B
Enter into the table your calculated value for the spring constant, then play with different values of mk
until you get a close match to the motion. (Note: It will never be perfect. Remember that there are two
kinds of spring damping. Both are at work here, but we are not going to model both.) Once you're
satisfied with your model, record your model values in the table below.
The spring stiffness is quantified by the spring constant, or k. For various springs and materials, it varies.
What is Spring constant?The stiffer the spring is and the harder it is to stretch, the larger the spring constant.
Springs are pliable mechanical devices that regain their previous shape after deforming, i.e. after being stretched or compressed. They are an essential part of many different mechanical devices.
The well-known metal coil has evolved into an essential element in the modern world, appearing in everything from engines to appliances to tools to automobiles to medical equipment and even basic ball-point pens. The spring's ability to store mechanical energy accounts for its widespread use and applications.
Therefore, The spring stiffness is quantified by the spring constant, or k. For various springs and materials, it varies.
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10.A car is travelling at a constant speed of 27m/s. The driver looks away from the road for a 2.0s to tune in a station on the radio. How far does the car go during this time?
Explanation:
Distance = speed × time
d = (27 m/s) (2.0 s)
d = 54 m
2 A rectangular storage tank 4 m long by 3 m wide is filled with paraffin to a depth
of 2 m. Calculate:
a the volume of paraffin
c the weight of paraffin
b the mass of paraffin
d the pressure at the bottom of the tank due
to the paraffin
1m
For a rectangular storage tank filled with paraffin to a depth of 2 m, the volume, weight, mass of paraffin, and pressure at the bottom of the tank are:
a. The volume is 24 m³.
b. weight is 240,000 N,
c. mass is 24,490 kg, and
d. pressure is 23,530 Pa.
a) The volume of paraffin in the rectangular storage tank can be calculated using the formula:
Volume = Length x Width x Depth
Given:
Length = 4 m
Width = 3 m
Depth = 2 m
Substituting the values into the formula, we have:
Volume = 4 m x 3 m x 2 m
Volume = 24 m³
Therefore, the volume of paraffin in the tank is 24 cubic meters.
b) The weight of the paraffin can be calculated using the formula:
Weight = Volume x Density x Acceleration due to gravity
The density of paraffin varies, but we can assume a typical value of 10,000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s². Substituting these values into the formula:
Weight = 24 m³ x 10,000 kg/m³ x 9.8 m/s²
Weight = 240,000 N
Therefore, the weight of the paraffin in the tank is 240,000 Newtons.
c) The mass of the paraffin can be calculated using the formula:
Mass = Density x Volume
Substituting the given values:
Mass = 10,000 kg/m³ x 24 m³
Mass = 24,490 kg
Therefore, the mass of the paraffin in the tank is 24,490 kilograms.
d) The pressure at the bottom of the tank due to the paraffin can be calculated using the formula:
Pressure = Weight / Area
The area of the bottom of the tank is equal to the length multiplied by the width. Substituting the values:
Area = 4 m x 3 m
Area = 12 m²
Pressure = 240,000 N / 12 m²
Pressure = 20,000 Pa
Therefore, the pressure at the bottom of the tank due to the paraffin is 20,000 Pascals (Pa).
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A weightlifter lifts a weight of 500 N from the ground over her head, a distance of 1.8 m. How much work has been done to move the weight?
What is the mass of the cannon
Mass cannonball = 5Kg
Velocity of the fired cannonball = 90m/s
Velocity of the cannon = -2.25m/s
Mass of the cannon will be 200 kg
m1 = mass of cannonball
m2 = mass of cannon
u1 = initial velocity of cannonball
u2 = initial velocity of cannon
v1 = final velocity of cannonball
v2 = final velocity of cannon
using conservation of momentum
m1u1 + m2u2 = m1v1 + m2v2
5 * 0 + m2 * 0 = 5 * 90 + m2 * -2.25
m2 = 200 kg
mass of the cannon will be 200 kg
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