How to use calculus in physics ?​

Answers

Answer 1

Explanation:

In Physics, many quanitties are the function of other quanitities.

For instance in kinematics, where the displacement (s), position (x), velocity (v) and time (t) of a particle are related.

Suppose the position of a particle can be descirbed as a function of time, i.e.

[tex]x=f(t)[/tex]

then since velocity is the rate of change of position, we write

[tex]v=\dfrac{d}{dt}f(t)=f'(t)[/tex]

which is the derivative of the poisiton/ time function.

On the other hand, the displacement of the particle is the sum of position changes over time, so the displacement can be defined by

[tex]s=\int^{t_1}_{t_0}f(t)dt[/tex]

which is the integration of postion/ time function.


Related Questions

Carnot Engine: A Carnot cycle consists of 179) A) four adiabats. B) two adiabats and two isobars. C) four isotherms. D) two adiabats and two isotherms. E) two isobars and two isotherms

Answers

Answer:

which question is this

Explanation:

I don't understand sorry

if your average speed is 3 m/s, how far have you traveled in 1 second, 2 second, 3 seconds?

Answers

Answer:

in 1 second 3m, in 2 seconds 6m, in 3 seconds 9m.

Explanation:

distance=speed × time

1 second: 3 miles, 2 seconds: 6 miles 3 seconds: 9 miles

Prove that s=ut+½at²​

Answers

Explanation:

Distance travelled = Area under the line

= ut + ½ (v-u)t

Acceleration (a) = (v-u)/t and so (v-u) = at

Therefore,

Distance travelled (s) = ut + ½ (v-u)t = ut + ½ (at)t = ut + ½ at²

Thus,proved.

Give reason

It is more difficult to climb a vertical slope than a slanted slope because ​

Answers

Answer:

because in vertical slope force of gravity is more than compared to slanted slope

Answer:

because gravity is always pulling objects down so when you climb upward gravity weighs you down, you have to use effort to move yourself in the opposite direction that gravity is pulling you that is why it is harder to climb up a slope.

Which of the following phrases best describes the term scientific model?
A. The application of scientific knowledge to make predictions about
an object, system, or process
B. An experiment in which variables are controlled
C. A physical copy of a scientific object, system, or process
D. A simplified representation used to explain or make predictions
about something
SUBMIT

Answers

C. A physical copy of a scientific object, system, or process

1. An MR-2 starts from rest and accelerates westward to a speed of 27 m/s in
11.8 seconds.
a) What is its acceleration?
b) What is the displacement it covered?

Answers

Answer:

a) 2.28 m/s²

b) 159.86 m

Explanation:

Part A:

u = 0 m/s

v = 27 m/s

t = 11.8 seconds

a = ?

Formula:

v = u + at

=> 27 = 0 + a(11.8)

=> 27 = a(11.8)

=> a(11.8) = 27

=> a = 27/11.8

=> a = 2.28 m/s²

Part B:

s = ?

Formula:

s = (v² - u²)/2a

s = (27² - 0²) /2(2.28)

  = 729/4.56

  = 159.86 m

John took 0.75 hours to bicycle to his grandmother's house, a distance of 4 km. What is his velocity?

What are you solving for?
What’s the equation?
Show work!
Help pleaseee!

Answers

Answer:

5.3Km/hr

Explanation:

Velocity=Displacement/Time

D=4km;T=0.75hr

V=4/0.75=5.33..

John traveled at a speed of 5.3 km/h to get to his grandmother's house.

How is the rate of position change in relation to time measured?

While velocity is the rate of change of an object's position with respect to time in a specific direction, speed is the rate of change of an object's position with respect to time overall. The speed of an item moving in a certain direction is referred to as its velocity. When there is a change in speed, direction, or both, the velocity also changes.

Given:

Time taken to travel, t = 0.75 h

Total distance travelled = 4 km

Let's imagine that John traveled to his grandmother's house in a single direction at a constant pace.

Velocity = Distance travelled in a given direction/Time

So, Velocity = 4 km/0.75 h = 5.3 ≈ 5km/h

John's speed in getting to his grandmother's residence was thus 5 km/h.

Learn more about the Velocity with the help of the given link:

https://brainly.com/question/19979064

#SPJ2

What is the correct clases for this drugs

‏Compazine
heelp me please

Answers

Explanation:

Compazine belongs to class of drugs called Antiemetic Agents, Antipsychotics, Phenothiazine.

Why is evolution called a scientific theory?

Answers

Answer:

Explanation:

Evolution is both a fact and a theory. Evolution is widely observable in laboratory and natural populations as they change over time. The fact that we need annual flu vaccines is one example of observable evolution. At the same time, evolutionary theory explains more than observations, as the succession on the fossil record. Hence, evolution is also the scientific theory that embodies biology, including all organisms and their characteristics. In this paper, we emphasize why evolution is the most important theory in biology. Evolution explains every biological detail, similar to how history explains many aspects of a current political situation. Only evolution explains the patterns observed in the fossil record. Examples include the succession in the fossil record; we cannot find the easily fossilized mammals before 300 million years ago; after the extinction of the dinosaurs, the fossil record indicates that mammals and birds radiated throughout the planet. Additionally, the fact that we are able to construct fairly consistent phylogenetic trees using distinct genetic markers in the genome is only explained by evolutionary theory. Finally, we show that the processes that drive evolution, both on short and long time scales, are observable facts.

The evolutionary theory is a scientific theory because its assumptions are well sustained by scientific data.

Scientific data refers to the body of knowledge obtained by using the scientific method.

A scientific theory is a well-sustained explanation of one or more questions of the natural world, which was repeatedly tested and verified by using the scientific method.

The theory of evolution by natural selection is a theory because it has been repeatedly corroborated through the scientific method.

In conclusion, the evolutionary theory is a scientific theory because its assumptions are well sustained by scientific data.

Learn more in:

https://brainly.com/question/11555274

An acetate rods rubs against a cloth. What type of charge will the rod end up with?
A. Positive
B. Negative
C. Not enough info
D. Neutral

Answers

Answer:

I believe it's A

Explanation:

........

Extra Practice In Exercises 1-4, use the diagram. 1. Give two other names for CD.

Answers

Answer: I think it’s point cd and line cd

Explanation:

What is the field outside the capacitor plates in a parallel capacitor?​

Answers

Answer is zero

Plz mark me brainlist

Explanation:

Outside two infinite parallel plates with opposite charge the electric field is zero, and that can be proved with Gauss's law using any possible Gaussian surface imaginable

The circled one please
Mark brainliest!!

Answers

Answer:

50µs

Explanation:

The conversion is that 1 second equals 1,000,000 micro seconds. Since we have 0.00005 seconds, we will multiply that to a million.

0.00005 * 1,000,000 = 50µs

Keep in mind that 50 only has 1 significant figure because any trailing zeroes before the decimal point do NOT count.

Best of Luck!

0.00005 seconds = 50 μs

Thank you

A mass of 20kg which moved vertically produced a momentum of 300kg.m/s, how much power was needed to move the mass?

Answers

Answer:

Power is 3000 W

Explanation:

Momentum = mass × velocity

[tex]300 = 20 \times v \\ velocity = 15 \: {ms}^{ - 1} [/tex]

For power:

[tex]P = \frac{force \times distance}{time} \\ \\ P = force \times ( \frac{distance}{time} )[/tex]

but distance/time is velocity, so:

[tex]P = force \times velocity[/tex]

but force = mass × acceleration:

[tex]P = (mass \times acceleration) \times velocity \\ P = (20 \times 10) \times 15 \\ P = 3000 \: \: watts[/tex]

[ taken acceleration to be 10 m/s² ]

52.887 in significant figures

Answers

Answer:

There are 5 significant figures in 52.887

5, 2, 8, 8, 7 --> all of these numbers are considered significant.

state the law of conversation of momentum​

Answers

The total momentum before a collision is equal to the total momentum after the collision if no external forces act on the system.
Hope this helps

What topic name in physics does this equation belong to? g = Fg/m

Answers

this equation is used when talking about GRAVITY.

fill the blank spaces with suitable terms a heat energy from bottom
to the top of atake is​

Answers

I’m not sure if you’ve added the full question?

Calculus-based Physics I, can someone explain this to me?

My apologies for the broadness of my question. I especially don't understand the notation being used here, but I know this is about data collection, specifically standard deviation and standard error. I mostly need help with the data collection of multiple variables, the formulae for standard deviation and standard error make no sense to me.

I could also use some examples.

Answers

2: For a sample of data [tex]x_1,x_2,\ldots,x_N[/tex], the mean of this sample denoted by [tex]\overline x[/tex] is the sum of the data divided by the number of data points,

[tex]\overline x = \dfrac{x_1+x_2+\cdots+x_N}N = \displaystyle\frac1N\sum_{i=1}^N x_i[/tex]

As an example, consider [tex]x_1=-1[/tex], [tex]x_2=1[/tex], and [tex]x_3=3[/tex]. Then

[tex]\overline x = \dfrac{-1+1+3}3 = 1[/tex]

3: Standard deviation is a measure of how dispersed a given data sample is relative to the mean. Consult the plot: for a normal distribution, approximately 68% of it lies within 1 standard deviation of the mean, approx. 95% within 2 standard deviations, and approx. 99.7% within 3 standard deviations.

For instance, if the data is pulled from a normally distributed population with mean 0 and standard deviation 1, if you were to randomly select any data from the population, then 68% of the time it will fall in the range (-1, 1); 95% of the time it will fall within (-2, 2); 99.7% of the time it fall within (-3, 3).

To compute the standard deviation for a sample, for each [tex]x_i[/tex] in [tex]x_1,x_2,\ldots,x_N[/tex], you

• take the difference between [tex]x_i[/tex] and the mean [tex]\overline x[/tex]

• square this difference

• sum all the squared differences

• divide the sum by N - 1 (for a sample) or N (for a population)

• take the square root

Here the standard deviation is denoted [tex]\sigma^x_{N-1}[/tex], which I would read as "the sample standard deviation of the data x" - sample because of the N - 1 subscript.

Continuing with the previous example, we'd have

[tex]\sigma^x_{N-1} = \displaystyle \sqrt{\frac{\left(-1-1\right)^2+\left(1-1\right)^2+\left(3-1\right)^2}{3-1}} = \sqrt4 = 2[/tex]

4: Not much more to say here, the standard error is basically a measure of how accurate a given estimate is about the population based on the sample data. It's analogous to uncertainty in measuring length with a ruler, for instance.

In our example,

[tex]\alpha^x = \dfrac2{\sqrt3}[/tex]

5: If x, y, and z are random variables, then I suppose ρ is meant to denote a function of these random variables (so that ρ itself is just another random variable). For instance, you could have ρ = x + 3y - 2z. Then [tex]\overline\rho[/tex] is the sample mean of ρ.

I'm not entirely sure about the notation [tex]x(\overline x,\sigma^x_{N-1},\alpha^x)[/tex], but I suspect it's just referring to sample x with mean [tex]\overline x[/tex] and standard deviation [tex]\sigma^x_{N-1}[/tex] with standard error [tex]\alpha^x[/tex].

ρ is just the differential of ρ, essentially capturing how ρ changes with respect to small changes in x, y, and z. The expression you see here follows from the chain rule for differentiation.

The formula you see for [tex]\sigma^\rho_{N-1}[/tex] is the sample standard deviation of ρ. Think of ∆ρ as a vector with 3 components. Then [tex]\sigma^\rho_{N-1}[/tex] is the magnitude of this vector.

Similarly, [tex]\alpha^\rho[/tex] is the standard error for ρ, and corresponds to the magnitude of the vector whose components are the standard errors of x, y, and z.

In order for these statistics to make sense, each of x, y, and z must be samples of the same number of data. Say we take x as before [tex](x_1=-1,x_2=1,x_3=3)[/tex], along with [tex]y_1=0,y_2=4,y_3=-2[/tex] and [tex]z_1=-3,z_2=\frac12,z_3=10[/tex]. Suppose ρ = x + 3y - 2z. Then

• the sample means of y and z :

[tex]\overline y = \dfrac{0+4-2}3 = \dfrac23 \\\\ \overline z = \dfrac{-3+\frac12+10}3 = \dfrac52[/tex]

• the standard deviations of y and z :

[tex]\sigma^y_{N-1} = \sqrt{\dfrac{\left(0-\frac23\right)^2+\left(4-\frac23\right)^2+\left(2-\frac23\right)^2}{3-1}} = 2\sqrt{\dfrac73} \approx 3.06\\\\ \sigma^z_{N-1} = \sqrt{\dfrac{\left(-3-\frac52\right)^2+\left(\frac12-\frac52\right)^2+\left(10-\frac52\right)^2}{3-1}} = \dfrac{\sqrt{181}}2 \approx 6.73[/tex]

• the values of ρ :

[tex]\rho_1 = x_1+3y_1-2z_1 = -1+2\times0-2\times(-3) = 5 \\\\ \rho_2 = x_2+3y_2-2z_2 = 1+3\times4-2\times\dfrac12=12 \\\\ \rho_3 = x_3+3y_3-2z_3 = 3+3\times(-2)-2\times10 = -23[/tex]

• the sample mean of ρ :

[tex]\overline\rho = \dfrac{5+12-23}3 = -2[/tex]

• by the chain rule,

[tex]\Delta\rho = \Delta x+3\Delta y-2\Delta z[/tex]

so the standard deviation of ρ :

[tex]\sigma^\rho_{N-1} = \sqrt{\left(\sigma^x_{N-1}\right)^2 + \left(3\sigma^y_{N-1}\right)^2 + \left(-2\sigma^z_{N-1}\right)^2} \\\\\sigma^\rho_{N-1}= \sqrt{2^2 + 9\left(2\sqrt{\dfrac73}\right)^2 + 4\left(\dfrac{\sqrt{181}}2\right)^2} = \dfrac12\sqrt{\dfrac{703}3} \approx 7.65[/tex]

• the standard errors of y and z :

[tex]\alpha^y = \dfrac{2\sqrt{\frac73}}{\sqrt3} = \dfrac23\sqrt7 \approx 1.76 \\\\ \alpha^z = \dfrac{\frac{\sqrt{181}}2}{\sqrt3} = \dfrac12\sqrt{\dfrac{181}3} \approx 3.88[/tex]

• the standard error of ρ :

[tex]\alpha^\rho=\sqrt{\left(\alpha^x\right)^2+\left(3\alpha^y\right)^2+\left(-2\alpha^z\right)^2}\\\\\alpha^\rho=\sqrt{\left(\dfrac2{\sqrt3}\right)^2+9\left(\dfrac23\sqrt7\right)^2+4\left(\dfrac12\sqrt{\dfrac{703}3}\right)^2}=\sqrt{269}\approx16.40[/tex]

A mass of 10kg is suspended from the end of a steel rod of length 2m and radius 1mm. What is the elongation of the rod beyond it's original length (Take E=200*10⁹Nm²)

Answers

Answer:

don't know what class are you which subject is this

Help meh in this question​

Answers

Radius=r=R_o/2angular velocity=w=v_omass=m

We know

[tex]\boxed{\sf K.E=\dfrac{1}{2}mv^2}[/tex]

For Rotational motion

[tex]\boxed{\sf v=r\omega}[/tex].

Putting value

[tex]\\ \qquad\quad\sf{:}\dashrightarrow K.E=\dfrac{1}{2}m(r\omega)^2[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow K.E=\dfrac{1}{2}mr^2\omega^2[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow K.E=\dfrac{1}{2}m\left(\dfrac{R_o}{2}\right)^2v_o^2[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow K.E=\dfrac{1}{4}mv_o^2[/tex]

Pls help me 10 points

Answers

Answer:

d is the right answer

it's was helpful to you

g A high-energy photon turns into and electron and a positron. (A positron has exactly the same mass as the electron, but opposite charge.) What is the longest wavelength that the photon can have for this process to occur

Answers

Answer:

2 m = E / c^2      where m is mass of electron

E = h v     where v is the frequency ( nu) of the incident photon

E = h c / y      where y is the incident wavelength (lambda)

2 m = h / (c y)

y = h / (2 m c)      wavelength required

y = 6.62 * 10E-34 / (2 * 9.1 * 10E-31 * 3 * 10E8)  m

y = 3.31 / 27.3 E-11 m

y = 1.21 E -12 m   = .0121 Angstrom units

who is george washington? what does he do for america?

Answers

George Washington was an American political leader, military general, statesman and Founding Father of the United States, who serves as the first president of the United States from 1789 to 1797.

During the American Revolution, the led the colonial forces to victory over the British and became a national hero. In 1787, he was elected president of the convention that wrote the U.D. constitution. Two years later, Washington became the America's first president.

Lithium's atomic number is 3. How many electrons does a neutral lithium atom have? explain.​

Answers

Answer:

It has 3 electrons

Explanation:

Neutral atom has an overall charge of zero.

Since atomic number is 3, it has 3 protons [ positive charges ]. So, to be neutral, the atom must have 3 electrons [ negative charges ] to cancel out the positive charge.

vận tốc là 12km|h tgian 2h hỏi quãng đường

Answers

Answer: You know I didn’t really got ya’s question

Elastic and inelastic collisions

Answers

Explanation:

A perfectly elastic collision is defined as one in which there is no loss of kinetic energy in the collision. An inelastic collision is one in which part of the kinetic energy is changed to some other form of energy in the collision.

Will we ever be able to know if there are other universes like our own? what do you think,
some say it is impossible to see beyond our own universe. but hey, we used to think that the earth was flat and look at us now, planing to go to mars.
however, it is impossible to know what kind of advancements lie ahead for science.

Answers

Answer:

I think it's possible to know if more universes exist like how we found out that more galaxies exist.

which type of bonds can carbon atoms form with other carbon Atoms

Answers

Explanation:

A carbon atom can form covalent bonds with other carbon atoms

A block lying on an inclined plane has a weight of 50 N. It just begins to slide down when the inclination of plane with the horizontal is 30°. The value of u is​

Answers

Answer:

μ = tanθ = tan30 = 0.58

Explanation:

μ = force parallel/force perpendicular = mgsinθ/mgcosθ = tanθ

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