How To Calculate Work
You can calculate total work by adding up the amount of work done by different forces in a problem. In all cases, calculating work requires a complete understanding of the vectors in the problem, not merely the numbers that go with them. You will need to put basic trigonometry to use.
- Note: In real life, when a force acts on an object besides gravity, it is unlikely to be constant. Any force F you see mentioned in these examples can be assumed to be a constant force. When forces vary, the relationships noted here remain valid, but you will need to perform integral calculus to solve the associated problems.
Example: A dog pulling a 20-kg child-sled combination across a horizontal snowfield accelerates from rest to a velocity of 5 m/s over the course of 5 seconds . How much work does the dog do on the child-sled combination? Assume friction is negligible.First, you calculate total force applied by the dog to the child and sled: F = ma = = 20 N. Displacement is average velocity /2 multiplied by time t , which is 12.5 m. Thus total work is = 250 J.
- How would you solve this problem using the work-energy theorem instead?
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What Does N Mean In Math
In mathematical operations, “n” is a variable, and it is often found in equations for accounting, physics and arithmetic sequences. A variable is a letter or symbol that stands for a number and is used in mathematical expressions and equations.
In an arithmetic sequence, which is a list of numbers that follow a pattern, “n” is a variable representing the number of the term to find. For instance, if students want to find the value of the seventh term, “n” would be 7.
In physics, an equation for standing waves uses “n” as an integer symbolizing the harmonic number or number of antinodes. The equation evaluates the length of the string in terms of its wavelength.
In accounting, “n” is used in the equation for compound interest. It represents the number of compoundings in 1 year.
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What Does Relative To Something Mean
I just started learning about vector components and relative motion. I don’t understand what relative to something means. I looked online but none of the explanations are helpful.
If someone could give me a very simple explanation, it would be appreciated.
Imagine that you are on a train, traveling at a steady speed of 50 miles per hour . Your physics textbook on the table in front of you.
Now, you and the textbook are all moving at the same speed. To an outside observer standing next to the train tracks, you and the book are each rushing by at 50mph. But, from your point of view, the book isn’t moving at all. That is, it’s not getting closer to or farther from you.
Work Has Units Of Energy
The total energy of a system is its internal or thermal energy plus its mechanical energy. Mechanical energy can be divided into energy of motion and “stored” energy . The total mechanical energy in any system is the sum of its potential and kinetic energies, each of which can take various forms.
Kinetic energy is energy of motion through space, both linear and rotational. If a mass m is held a distance h above the ground, its potential energy is mgh. Where the acceleration due to gravity, g, has the value of 9.80 m/s2 near Earth’s surface.
If the object is released from rest at height h and allowed to fall downward to Earth , its kinetic energy at impact is mv2 = mgh, as all of the energy has been converted from potential to kinetic during the fall . At all times, the sum of the potential energy of the particle and its kinetic energy remains constant.
- Because force has units of newtons in the SI system and distance is in meters, work and energy in general have units of kgm2/s2. This SI unit of work is known as the Joule.
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How To Calculate The Magnitude Of A Vector
If you have been thinking of how to find the magnitude of a force vector, you need to use the components together with Pythagoras theorem. Here, you need to think of Y coordinate as the height of a triangle and X coordinate as the force. Then, the hypotenuse becomes the resultant force from X and Y. Here is a demonstration:
If a force, call it 4 Newtons moving in X-direction and 3 N in Y-direction, the Pythagoras theorem can help you to calculate the magnitude. You can express it using the equation below: .
To put it differently, the resultant force is the sum of x2 and y2. Here is how to work it out in your problems.
F = N
= N= 25 N = 5 N
Therefore, the magnitude of this force is 5 N.
At this point, one might ask: What is the formula of finding the resultant vector when you have three component forces. You will still use the same equation but add another component, Z coordinate. This means you will have Y force, X forces, and Z coordinate. Therefore, here is the formula to use:
What Does Me Stand For Physics
We compiled queries of the ME abbreviation in Physics in search engines. The most frequently asked ME acronym questions for Physics were selected and included on the site.
We thought you asked a similar ME question to the search engine to find the meaning of the ME full form in Physics, and we are sure that the following Physics ME query list will catch your attention.
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Example 1 Weight On An Incline A Two
Consider the skier on a slope shown in Figure 2. Her mass including equipment is 60.0 kg. What is her acceleration if friction is negligible? What is her acceleration if friction is known to be 45.0 N?
Figure 2. Since motion and friction are parallel to the slope, it is most convenient to project all forces onto a coordinate system where one axis is parallel to the slope and the other is perpendicular . N is perpendicular to the slope and f is parallel to the slope, but w has components along both axes, namely w and \textbf_. N is equal in magnitude to w, so that there is no motion perpendicular to the slope, but f is less than w, so that there is a downslope acceleration .
The magnitude of the component of the weight parallel to the slope is _= \sin = mg\sin , and the magnitude of the component of the weight perpendicular to the slope is _=\cos = mg\cos.
Neglecting friction. Since the acceleration is parallel to the slope, we need only consider forces parallel to the slope. The forces parallel to the slope are the amount of the skiers weight parallel to the slope w and friction f. Using Newtons second law, with subscripts to denote quantities parallel to the slope,
where _\parallel}=_=mg\sin, assuming no friction for this part, so that
is the acceleration.
and substituting this into Newtons second law, _=\frac_\parallel }}, gives
We substitute known values to obtain
What Does Stand For In Physics
Micro- is a unit prefix in the metric system denoting a factor of 106 . Confirmed in 1960, the prefix comes from the Greek , meaning “small”.
Subsequently, question is, what is in physics? density. Dickman function.
Also, what is the unit of MU?
The SI prefix micro, meaning a factor of 10-6 . by itself is often used as the “unit” of strain, though in this context it retains its SI prefix meaning, which is interchangeable with “x 10-6” or “ppm” . by itself is an abbreviation for the unit micron.
What does mean in stats?
The term population mean, which is the average score of the population on a given variable, is represented by: = / N. The symbol ‘‘ represents the population mean. The symbol ‘ Xi’ represents the sum of all scores present in the population X1 X2 X3 and so on.
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What Is The Meaning Of Me Abbreviation In Physics
What is ME definition ?
ME definition is “Mechanic Energy”.
What does ME mean in Physics?
ME mean that “Mechanic Energy” for Physics.
What is ME acronym ?
ME acronym is “Mechanic Energy”.
What is shorthand of Mechanic Energy ?
The shorthand of “Mechanic Energy” is ME.
What is the definition of ME acronym in Physics?
Definitions of ME shorthand is “Mechanic Energy”.
What is the full form of ME abbreviation?
Full form of ME abbreviation is “Mechanic Energy”.
What is the full meaning of ME in Physics?
Full meaning of ME is “Mechanic Energy”.
What is the explanation for ME in Physics?
Explanation for ME is “Mechanic Energy”.
What is the meaning of ME Abbreviation in Astrology ?
The site does not only include the meanings of the ME abbreviation in Physics. Yes, we know your main purpose is explanation of ME abbreviation in Physics. However, we thought that besides the meaning of the ME definitions in Physics, you can consider astrological information of ME acronym in Astrology. Therefore, the astrological explanation of each word in each ME abbreviation is also included.
ME Abbreviation in Astrology
Resolving Weight Into Components
Figure 3. An object rests on an incline that makes an angle with the horizontal.
When an object rests on an incline that makes an angle with the horizontal, the force of gravity acting on the object is divided into two components: a force acting perpendicular to the plane, w, and a force acting parallel to the plane,\textbf_. The perpendicular force of weight, w, is typically equal in magnitude and opposite in direction to the normal force, N. The force acting parallel to the plane, \textbf_, causes the object to accelerate down the incline. The force of friction, f, opposes the motion of the object, so it acts upward along the plane. It is important to be careful when resolving the weight of the object into components. If the angle of the incline is at an angle to the horizontal, then the magnitudes of the weight components are
w_=w \sin = mg \sin
w_=w \cos = mg \cos
Instead of memorizing these equations, it is helpful to be able to determine them from reason. To do this, draw the right triangle formed by the three weight vectors. Notice that the angle of the incline is the same as the angle formed between w and w. Knowing this property, you can use trigonometry to determine the magnitude of the weight components:
w_ = w \cos = mg \cos
w_ = w \sin = mg \sin
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What Does N Stand For In Physics
There are a number of things that n stands for in physics. Someof the common ones include nano, refractive index, principalquantum number and many more.
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Electric Charge And Coulomb’s Law
- there are two kinds of charge, positive and negative
- like charges repel, unlike charges attract
- positive charge comes from having more protons than electrons negative charge comes from having more electrons than protons
- charge is quantized, meaning that charge comes in integer multiples of the elementary charge e
- charge is conserved
Probably everyone is familiar with the first three concepts, but what does it mean for charge to be quantized? Charge comes in multiples of an indivisible unit of charge, represented by the letter e. In other words, charge comes in multiples of the charge on the electron or the proton. These things have the same size charge, but the sign is different. A proton has a charge of +e, while an electron has a charge of -e.
Electrons and protons are not the only things that carry charge. Other particles also carry charge in multiples of the electronic charge. Those are not going to be discussed, for the most part, in this course, however.
Putting “charge is quantized” in terms of an equation, we say:
q = n e
q is the symbol used to represent charge, while n is a positive or negative integer, and e is the electronic charge, 1.60 x 10-19 Coulombs.
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Much Less Than What Does That Mean
What exactly does $\ll$ mean?
I am familiar that this symbol means much less than.
…but what exactly does “much less than” mean?
On Wikipedia, the example they use is that $1\ll 9999999999$But my thought on that is that $10^}}\ll 10^}}+9999999999$, based on the same logic. But I am confused because the numbers are comparitively.
Logically, I am really kinda spent dealing with this issue of mine. Thanks for any input.
The entire point is that it’s NOT very clear what “much less than” is. What is “much less than”? In some contexts $1\ll 2$ and in others $ 1\not \ll 2$ but $1 \ll 100000$ and in others, even $1\not\ll 100000$. What precisely makes something “much less than”?
In most contexts, $\ll$ is used in approximation. For example: for $0< x\ll 1$, $^n\approx 1+nx$.
So how small does $x$ have to be? Well small enough for the approximation to be “good enough”! What is good enough? It seems like I’m just pushing off the question, and that’s indeed what I’m doing!
The entire point isn’t whether something is “small enough” , or if the approximation is “good enough”, the point is control. Can you control the error in a manageable way.
For the example $0< x \ll 1, ^n \approx 1+nx$. You can make $^n$ as close as you’d like to $1+nx$ by making $x$ small enough! I think this is a more rigorous meaning.
“Much less than” is a qualitative assessment of comparative inequality.
$a\ll b$ means that $a$ is not only less than $b$, but muchly so by some convention.
The Law Of Conservation Of Charge
The Law of conservation of charge states that the net charge of an isolated system remains constant.
If a system starts out with an equal number of positive and negative charges, there¹s nothing we can do to create an excess of one kind of charge in that system unless we bring in charge from outside the system . Likewise, if something starts out with a certain net charge, say +100 e, it will always have +100 e unless it is allowed to interact with something external to it.
Charge can be created and destroyed, but only in positive-negative pairs.
Table of elementary particle masses and charges:
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The Resultant Magnitude Of Two Or More Vectors
If you have several forces acting on an object, you need first to calculate the resultant vector. That is pretty straightforward. The secret is ensuring that you add the corresponding X and Y components. Here is a demonstration.
Think of a boat in the sea using the wind to sail. The water is impacting 4 N in an X-direction and 1 N in the Y-direction. Besides, wind adds another force of 5 N in the X-direction and 3 N in the Y-direction. Therefore, the resultant vector for the X-coordinate will be 4+5=9 N and for the Y-coordinate will be 3+1=4 N. This simply means that the 9 N will be acting in the X direction while 4 N will be exerted in the y-direction. Now, to calculate the magnitude of the resultant force, here is the equation to apply.
Why Is Static Electricity More Apparent In Winter
You notice static electricity much more in winter than in summer because the air is much drier in winter than summer. Dry air is a relatively good electrical insulator, so if something is charged the charge tends to stay. In more humid conditions, such as you find on a typical summer day, water molecules, which are polarized, can quickly remove charge from a charged object.
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