The formula E =1/2 kx^2gives the potential energy E of a spring with spring constant k that has
been stretched by length x. Solve the formula fork to find the constant of a spring with a iven
potential energy and stretch.

Answers

Answer 1

Answer:

[tex]k = 2E/x^2[/tex]

Step-by-step explanation:

Given formula:

[tex]E = 1/2kx^2[/tex]

To solve for k, multiply both sides by 2 and divide by x²:

[tex]2E=kx^2[/tex][tex]k = 2E/x^2[/tex]
Answer 2

Answer:

[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]

Step-by-step explanation:

The formula given is :

[tex]\sf\longmapsto \: E = \frac{1}{2} kx²[/tex]

Now, multiply (×) both sides by 2 and divide (÷) by x^2

[tex]\sf\longmapsto \: 2E = kx²[/tex]

[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]


Related Questions

4.7 Distribution of sum of independent uniform RVs. A RV Y is the sum of 500 independent and identically distributed RVs X1, X2, . . . , X500. Each Xi is uniformly distributed over (1, 2). Find the mean and variance of Y . Give an approximate distribution or PDF of Y and justify your answer. What is the probability that Y is larger than 750

Answers

Answer:

Let X1,X2,...,Xn be i.i.d. random variables with expected value EXi=μ<∞ and variance 0<Var(Xi)=σ2<∞. Then, the random variable

Zn=X¯¯¯¯−μσ/n−−√=X1+X2+...+Xn−nμn−−√σ

converges in distribution to the standard normal random variable as n goes to infinity, that is

limn→∞P(Zn≤x)=Φ(x), for all x∈R,

where Φ(x) is the standard normal CDF.

Step-by-step explanation:

−a^3 b^5 is a polynomial or not

Answers

Answer:

not

Step-by-step explanation:

HOPE IT HELPS YOUBTW GOOD DAY TO YOU

please help ME I BEG YOU​

Answers

Answer:

Construction of 60° exactly

In a class of 29 students, 10 are female and 20 have an A in the class. There are 2 students who are male and do not have an A in the class. What is the probability that a female student does not have an A?Answer this

Answers

Answer:

The probability would be 3 out of the 10 girls

Step-by-step explanation:

The probability that a female student does not have an A on the test is 7/29.

What is the probability that a female student does not have an A?

Probability is mathematical operation that is used to determine how likely a stated event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a female student does not have an A = number of females that do not have an A / total number of females

(29 - 20 - 2 )/ 29 = 7/29

To learn more about probability, please check: https://brainly.com/question/13234031

how many 3/4s are in 1 2/4

Answers

Answer:

I think there is 6.

Step-by-step explanation:

Im not 100% sure tho :{

Hope this helps :}

Pls make brainliest :P

And have an amazing day <3

4 1/2 = (4x2+1)/2=9/2

9/2 divided by 3/4
9/2 X 4/3
9/1 X 2/3=18/3 = 6
answer is 6

EMERGENCY!!! WILL GIVE THE BRAINLIEST TO THE FIRST ONE RIGHT + 30 PTS!!!

Use the maps below to answer the following question: First image. A map of North America showing the regions of Native American cultures. Second image. A political map of the United States, with all 50 states labeled. Washington, Oregon, and California are on the west coast. Moving east, from north to south, Montana, Idaho, Wyoming, Nevada, Utah, and Arizona are next seen. Then, North Dakota, South Dakota, Nebraska, Colorado, Kansas, Oklahoma, New Mexico, and Texas are seen, from north to south, in the central US. East of those states, from north to south, Minnesota, Iowa, Missouri, Arkansas, and Louisiana are seen. Wisconsin, Michigan, Illinois, Indiana, and Ohio in the Midwest, and Pennsylvania and New York in the northeast, border the Great Lakes. Kentucky, Tennessee, Mississippi, Alabama, Virginia, North Carolina, South Carolina, Georgia, and Florida are in the southeast, with Florida jutting out as a peninsula. Maryland, West Virginia, Delaware, and New Jersey are between the southeast and northeast states. Connecticut, Rhode Island, Massachusetts, New Hampshire, Vermont, and Maine are in the northeast. Alaska and Hawaii are seen as islands. Public Domain © Andrew c Creative Commons, Attribution-Share Alike 3.0 Unported Compare the maps. Which state listed below was located in the Southwest Native American cultural region? Alabama Illinois Michigan Arizona

Answers

The state that was located in the Southwest Native American cultural region is Arizona.

The state has the highest indigenous population in the USA and is home to the Navajo, Hopi and Apache. Arizona was part of New Mexico until its surrender to the United States in 1848. It was the scene of many wars against the native peoples, especially the Apache, from the 1850s to 1877. It did not become a state until as recently as 1912.

On February 28, 1859, the first Indian reservation, the Gila River Indian Reservation, was established for the Pima and Maricopa Indians in the Arizona Territory. On June 1, 1868, the United States' largest reservation, the Navajo Nation Reservation, was established by a treaty between the United States and the Navajo State.

Learn more in https://brainly.com/question/6326323

Answer:

Arizona

Step-by-step explanation:

got it right on the test :)

Decide whether the relation defines y as a function of x. Give the domain and range.
x+y<14

Answers

Answer:

i think it is like this.                                      < means less than                                                                  

Step-by-step explanation:

let x be a and let y be any number less than 14.

a + 5 < 14

a + 5 < 14

a + 5-5 < 14-5

a + 0   <  9

a < 9

If 6 spiders can spin 6 webs in 6 minutes how long will it take 100 spiders to spin 200 webs

Answers

Answer:

200 minutes

Step-by-step explanation:

if six spiders can spin 6 webs in 6 min then 100 spiders can spin 100 webs in 100 min then multipy by 2 and you get 200

The amount of time that 100 spiders can spin 200 webs will be 12 minutes.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the manipulation of those signs.

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.

If 6 spiders can spin 6 webs in 6 minutes. Then the 1 spider can sin one web in six minutes. So, the 100 spiders can spin 100 webs in 6 minutes.

Then the 100 spiders can spin 200 webs in 12 minutes.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Select the better deal in the pair. Then give the unit rate for the better deal.

$182/7g
or
$342/9g

Answers

Answer:182/7g

Step-by-step explanation:  182 divide by 7= 26

                                              342 divide by 9=38

and you want the lowest cost so a.


Find the total future amount for $500 invested at 2.02% for 5 years
compounded monthly.
State your answer in terms of dollars rounded to the nearest cent
(hundredth).
Do not include a $ sign with your response.

Correct Answer is but explain how
553.09

Answers

monthly compound interest formula is
P(1+(r/12)^12t
Where p is the principal amount (starting money), r is the rate (in decimal form), and t is time
2.02% is 0.0202 in decimal form
So to plug in our values:
500(1+0.00168333)^12(5)
Plug that in the calculator and then you get
553.09134377
Round to the nearest cent (unless indicated otherwise)
And then you get
553.09

How much does each piece cost individually?

Answers

Answer:

500 for sofa

Step-by-step explanation:

What is 2+1000000000

Answers

Answer is 1000000002

Answer:

the answer

1000000002

How can you compare data sets?

Answers

When you compare two or more data sets, focus on four features:

Center. Graphically, the center of a distribution is the point where about half of the observations are on either side.

Spread. The spread of a distribution refers to the variability of the data. ...

Shape. ...

Unusual features.

Answer:

Common graphical displays (e.g., dotplots, boxplots, stemplots, bar charts) can be effective tools for comparing data from two or more data sets.

Step-by-step explanation:

MARK ME AS A BRAINLIST PLZ

Find the slope and y-intercept for this table.​

Answers

Answer:

See below:

Step-by-step explanation:

To find the slope, we use the following formula:

[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

For this case, we can use (6,60) as the first set of points.

We can use (4,70) as the second set of points.

Now, we can use the formula, 70-60 is for the top of the fraction (10)

We can do 4-6 to find the bottom, which is (-2)

Now, if we add the fraction back we get -> 10/-2 which is -5 for slope!

To find out the y intercept, it in simple words is "What is y when x is 0?".

We can do that by using the slope intercept formula: [tex]y=mx+b[/tex].

Once we insert our slope which is -2 we get: [tex]y=-2x+b[/tex]

We can now substitute a point, lets use (6,60) so we can find out b.

We now get the equation: [tex]60=-5(6)+b[/tex].

If we solve for that we get 90!

Once we input that, we get, [tex]y=-5x+90[/tex]

Now we put in x as 0 and we get our y intercept as 90!

If this answer helped, consider marking as brainliest!!

Anna has already baked 17 pies, and she plans to bake more pies. With each 1 cup of sugar, she can bake two pies. Anna has 11 additional cups of sugar. How many total pies can Anna bake?

Answers

The total pies Anna can bake is 22.

The total pies Anna can bake would be determined by the amount of cups of sugar she has. Anna has already baked 17 pies. From the question, one cup of sugar can bake two pies. This means that the number of additional cups she has would be multiplied by two in order to determine the total number of pies she can bake.

Pies Anna can bake = additional cups of sugar x 2

11 x 2 = 22 pies

A similar question was answered here: https://brainly.com/question/19495512?referrer=searchResults

Only help me with number 5 plz

Answers

Answer:

Line AB is Perpendicular to line CD

Line AB Parallel to line EF

Answer:

perpendicular, parallel

Step-by-step explanation:

Also your answer for #4 is wrong, it's actually line FD

I also need help with this one.

Answers

Answer:

(0, 2)

Step-by-step explanation:

The x-coordinate is 0 because the y-intercept is where the line crosses the x-axis. The y-intercept is the number on its own in the equation (in the form y = mx + c)

Hope this helps!

Blaine subtracted 340,139 from 601,800 Is Blaine's answer correct? If not, explain why and write the correct answers.​

Answers

Answer:

fsuu vvv

Step-by-step explanation:

gdcytzvnvdezcghiyyk for giving biscuits vicbeddings vicbeddings vicbeddings

2. Mack buys a gourmet pizza for $50. The shop increases its purchase price by 50%? What is the new price of the pizza?

Answers

Answer:

$75

Step-by-step explanation:

50% is half of the total, meaning that we can take half of $50, then add it to 50. Half of 50 is 25, so 50 + 25 = 75 dollars.

What is the slope of this line? Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

To find the slope, we will use the slope formula and two points that are on the line. You can choose any two points as long as they are on the line.

Point 1 = (0, -2)

Point 2 = (-2, 0)

Slope-Formula: (y2 - y1) / (x2 - x1)

Now that we know our two points and the slope formula, all that's left to do is plug the points into the formula and simplify.

(0 - - 2) / (-2 - 0)

(2) / (-2)

-1

The slope of the line is -1.

Hope this helps!! :)

Answer: -1

Step-by-step explanation:

-6/6= -1

Whats the answer? ( Branliest )

Answers

Answer:

4

Step-by-step explanation:

4-0.25g +0.5h

We have,

g=10

h=5

Putting the values,

4-0.25g +0.5h= 4-0.25*10+0.5*5 =4 -2.5 +2.5 = 4

Answer:

4

Step-by-step explanation:

[tex]4 - 0.25g + 0.5h \\ 4 - 0.25(10) + 0.5(5) \\ 4 - 2.5 + 2.5 \\ 4 \\ [/tex]

Hey<3 If you help you’re amazing if you don’t you’re awesome.

Answers

Answer:  576

============================================================

Check out the diagram below.

I've split the figure into 3 separate blocks. We calculate the volume of each block, then add up those volumes to get the final answer.

Block A = largest block on the leftBlock B = middle blockBlock C = smallest block on the right

So,

volume of block A = length*width*height = 6*6*8 = 288 ft^3volume of block B = length*width*height = 6*6*5 = 180 ft^3volume of block C = length*width*height = 6*6*3 = 108 ft^3

Therefore, the total volume we're working with is:

A+B+C = 288+180+108 = 576 cubic feet

The "cubic feet" or "ft^3" portion is already taken care of by your teacher, so you just need to type in the number itself.

What is six hundred seventy-eight and thirty-four hundredths written in standard form?

6,870.34
6,087.34
687.34
678.34

Answers

Answer: 678.34

Step-by-step explanation:

600 + 78 and 34 hundredths

678.34

simplify the expression. Please help me ​

Answers

Answer:

The answer is 19

Step-by-step explanation:

I forgot how I figured it out but I did

Claire's suitcase weighs 15 pounds less than her older sisters.
Together the suitcases weigh 109 pounds. How many pounds does
Claire's older sister's suitcase weigh?

Answers

bro i read it wrong that's my bad hold on ill get the right one rq

Find the value of x in the figure below:

Answers

Answer:

x = 25

Step-by-step explanation:

The interior angle adjacent to the 123° angle is supplementary to it.

Its measure is 180° - 123° = 57°

The sum of the measures of the interior angles of a polygon is

(n - 2)180° = (4 - 2)180° = 2(180°) = 360°

3x + 7 + 96 + 5x + 57 = 360

8x + 160 = 360

8x = 200

x = 25


I need help to find the side

Answers

Answer:

x = 10.55cm

Step-by-step explanation:

Sin 29 degrees = 7cm/x

X = 7cm / sin 29

= 10.55 cm

Answer:

x =14.4cm

Step-by-step explanation:

Sin x = opp/hyp

This is because we are given angle look into the triangle and see opp given =7 and need hypotenuse

Sin x = 7 / sin (29)  = 14.4386574 cm = 14.4cm

This is because the opp is the 7 measure.

x = 14.4cm

We can prove the base is less through Pythagoras theorem

simply as c^2-b^2 = a^2

14.4386.....^2 -7^2 = c^2

sqrt 208.47 - sqrt 49 =c^2

c^2 = sqrt 159 = 7.43849023

therefore base = 7.44

To check angle 29 degrees for 3rd proof

cos (29) x  7/x= (x)

= 203 / x

check 203/29 = 7

Given a=7 and ∠α=29°,

b = 12.62833

c = 14.43866 proof

∠β = 61°  

h = 6.12234

area = 44.19917

perimeter = 34.06699

inradius = 2.59484

circumradius = 7.2193

Use the distributive property.
4(5x + 3y – 7) = 20x + 12y + [?

Having a hard time with the last one.

Answers

Answer:

-28

Step-by-step explanation:

20x+12y-28=20x+12y+[?

subtract like term so 20x-20x and 12y-12y

therefore -28 =[?

Suppose that $590 is deposited into an account that pays 3.5% compounded quarterly. How long will it
will take for the account to contain at least $800? Round to the nearest year.

Answers

Answer: 9 years

Step-by-step explanation:

Let 's use the compound interest formula :

[tex]\rm \displaystyle S=A\left( 1+\frac{N}{100} \right)^{\rm \big r}[/tex]

Where N- the percentage by which we raise the price ; r-years ; A-the original price

In our case

N=3,5%  ;  r=?  ; A=590$  

And we know :

[tex]\rm \displaystyle S= 800 \\\\ 590 \left( 1+ \frac{3,5}{100} \right)^{\big {r}}=800 \\\\\\(1,035)^{\big r} = \frac{80}{59}\approx1,355 \\\\\\ r= \log_{1,035}\ 1,355=8,\underline831 \approx9 \ years[/tex]

90000 1000 + 7000 + 7 =​

Answers

Answer:

900,008,007

Step-by-step explanation:

first add 90000,1000 +7000=900,008,000

then add 7 with 900,008,000

Answer =900,008,007

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