A spring has natural length 20 cm. Compare the work W1 done in stretching the spring from 20 cm to 30 cm with the work W2 done in stretching it from 30 to 40 cm. (Use k for the spring constant) How are W2 and W1 related?

Answers

Answer 1

Answer:

W₂ is three times W₁ (W₂ = 3W₁)

Step-by-step explanation:

Applying,

W = ke²/2............. Equation 1

Where W = workdone in stretching the spring, k = spring constant, e = extension.

For W₁,

W₁ = ke₁²/2

Given: e₁ = 30-20 = 10 cm = 0.1 m

Substitute these value into equation 1

W₁ = k(0.1²)/2

W₁ = 0.005k Joules

For W₂,

W₂ = (ke/2)-W₁

Given: e = (40-20) = 20 cm = 0.1 m

Substitute these value into equation 1

W₂ = (k×0.2²/2)-0.005

W₂ = 0.015k Joules.

W₂/W₁ = 0.015k/0.005k

W₂/W₁ = 3

Therefore,

W₂ = 3W₁


Related Questions

Seven less than twice a number is 43. What is the number?

Answers

Answer:

25

Step-by-step explanation:

x = the number

2x - 7 = 43

    +7      +7

-----------------

2x = 50

------------

2        2

x = 25

[35 - (8 + 2)x 3 ] what is the answer

Answers

Answer:

5

Step-by-step explanation:

[35 - (8 + 2)x 3]

[35 - (10)x 3]

[35 - 30]

[5]

do my teeth look straight?
answer asap

Answers

Answer:

yeah your teeth is good and strong too

yes they look very straight

Helppppppppppppp helppppppppppppp

Answers

Answer: 2

Step-by-step explanation:

1+ root2x + 1 = root2x + 8

Answers

Answer:

14x 2 +9

Step-by-step explanation:

Ed is 7 years older than ted. Ed is also 3/2 times teds age. How old are ed and ted

Answers

Answer: Ted is 14 years old, Ed is 21 years old

Answer: Ted is 14 years old, and Ed is

21 years old.

Explanation is in the image.

Identify the five-number summary of the following data se
7. 11. 21. 28, 32, 33, 37, 43

Answers

Minimum value = 12

Maximum value = 37

snumber of observations = 10 (even)

Median = Mean of middle most terms

Middle most terms = 22, 25

Median ={22+25}{2}=23.5222+25=23.5

factor the polynomial f(x) = X^3+5x^2+7X+3

Answers

The answer is (X+1)^2(x+3)

Answer:

Step-by-step explanation:

Third level polynomial, so three factors

Only whole numbers, so only whole number x⁰ factors

whole number factors of 3 are 1,1,3 or 1,-1,-3 or -1,-1,3

let's try (x + 3) as a factor

                    x² + 2x + 1                      

x + 3 | x³ + 5x² + 7x + 3

      -   x³ + 3x²

                  2x² + 7x

              -   2x² + 6x

                              x + 3

                          -   x + 3

                                    0

so (x + 3) is a factor and x² + 2x + 1 factors to (x + 1)²

x³ + 5x² + 7x + 3 = (x + 3)(x + 1)(x + 1)

Which graph corresponds with the inequality x< 10 ?

Answers

Answer:

C

Step-by-step explanation:

What is 7823× 10 to the 3 power?

Answers

Answer:

7823000

Step-by-step explanation:

Answer:

0 is the answer

7893 x 10 equal to 789300

I WILL GIVE BRAINLEST PLAESE HURRY I HAVE 10 MIN
Launch Problem


Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.


If Melanie ran once a day, how many days did she run?

Answers

Wait this might be a trick. If Melanie ran ONCE A DAY how many days did she run. She trained for the week. 7 days in a week. There is a good chance I am wrong but I think 7 days.

Lim ( 3x + 4tan2x)/x
X--》0

Answers

Answer:

where are you from me

Step-by-step explanation:

:philipines

btw ty sayo

Question
Round to the nearest ten: 1,078

Answers

Answer:

7 = 7 * 10 = 70

Step-by-step explanation:

Answer:

1080

Step-by-step explanation:

How to Calculate Rounding to the Nearest Tens Whole Number?

If the ones digit (first number after decimal point) of the number is greater than or equal to 5 we add 1 to tens of number, If the ones digit of the number is less than 5 we change ones digit to 0.

Example:

1026The ones number is 66 is greater than 5, so we add 1 to tens.Result = 1030

[tex] \: [/tex]

Pre college need help thiss

Answers

Answer:

25

-35

5

Step-by-step explanation:

yeah-ya.............. right?

What is the perimeter, in feet, of the polygon?

Answers

Step-by-step explanation:

please post the question correctly to get the answer.

(88)(√75)
HELP ASAP....​

Answers

Answer:

sqr75=sqr25*sqr3=5*sqr3

88(5*sqr3)

decimal = 762.10235533

Answer:

4403

Step-by-step explanation:

Given:

88√75

Solution:

88•√(5^2 * 3)

Rewrite the expression as:

88•(5√3)

Multiply 88 into 5:

440√3762.102 ( 3 decimal place )

Which statements are correct interpretations of this graph?

Select each correct answer.


a.4 boxes are filled every 3 min.

b.3 boxes are filled every 4 min.

c.1.3 boxes are filled per minute.

d.0.75 boxes are filled per minute.

Answers

It’s b. 3 boxes are filled every 4 mins

Which property is illustrated by the equation?
(2x + 1) + 3y = 2x + (1 + 3y)

Answers: Commutative Property of Addition, Identity Property of Addition, Associative Property of Addition, or Distributive Property of Addition.

Answers

Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition - if the grouping changes, the answer will be the same - Correct (2 + 3) + 5 = 2 + (3 + 5)

Identity Property of Addition - anything added by 0 will equal itself (5 + 0 = 0, 2.3 + 0 = 2.3, etc.)

Commutative Property of Addition - if the order changes, the answer will be the same (2 + 3 = 5 and 3 + 2 = 5 also)

Distributive Property of Addition - allows you to "distribute" a number (2(3 + 5) = 2 * 3 + 2 * 5 = 6 + 10 = 16)

3
Evaluate the function f(x) = (x + 2)2 for the given inputs.
a. f(5)=
b. f(-3) =
c. f (x+3) =

Answers

Answer:

a. 49

b. 1

c. x^2+10x+25

Step-by-step explanation:

Symply substitute the values (5, -3, x+3) in the equation (x+2)^2

Please help me :) 25 points

Answers

Answer:

D (bottom right)

Step-by-step explanation:

Using the vertical line test, only D passes.

Hope that helps

the degree of the polynomial p³q²-6p²q⁵+p⁴q⁴​

Answers

Answer:5

Step-by-step explanation:

[tex]p^{3}q^{2}-6p^{2} q^{5} +p^{4} q^{4}[/tex]

So since the highest index/power is 5 the degree is 5

Hope that helps :)

solve each inequality and graph its solution

Answers

Answer:

Step-by-step explanation:

1) 11v > -66

divide by 11

V > -6

all of them are done like this

PLEASE HELP ME




Question 7 of 10

Which of the following is equal to the fraction below? (5/9)⁸

A. 5⁸/9⁸

B. 5/9⁸

c. 5⁸/9

D. 8•(5/9)

SUBMIT

Answers

Answer:

A 5⁸/9⁸

Step-by-step explanation:

the bracket there shows that the power is for both the numerator and denominator so A is the correct answer

14. A triangle has vertices at A(4,2), B(-4,-2), and
C(2, 4). If the triangle is dilated with respect to the
origin using a scale factor of 172, what will the
coordinates for the new vertices be?
A A' (2.1). B' (-2,-1), and C (1.-2)
B. A (8.4), B (-8,-4). and C (4. - 8)
C. A' (1,2), B (-1,-2), and C (-2. - 1)
D. A (-2,-1), B' (-2,-1), and C° (-1,2)

Answers

Answer:

A

Step-by-step explanation:

Each coordinate of the triangle will have to dilate by 1/2 in order for the triangle to be fully dilated. Let's check each option to see which one has the correctly dilated points.

First, we'll look at A. A(4, 2) goes to A'(2, 1)... which is looking good so far! Half of 4 is 2, and half of 2 is 1, so the right dilation was applied. Next, let's check out B. B(-4, -2) goes to B'(-2, -1), which is still looking okay. Half of -4 is -2, and half of -2 is -1. Finally, we'll check the point C. If this one is correctly dilated, option A is the right option. C(2, -4) goes to C'(1, -2), and we can now be sure that option A is correct. Half of 2 is 1, and half of -4 is -2.

So, option A is the one to select. Hopefully that's helpful! :)

Need it now ‼️‼️‼️‼️will give brain list to who ever answers first

Answers

Answer:17/18

Step-by-step no explation

the permiter of one face of cube is 60 cm then its volume :​

Answers

Step-by-step explanation:

a cube has 6faces.

side = 60/6 = 10cm

volume = 1000cm³.

hope this helps you.

A-B equals, if A =5x^2-4x-11 and B=-x^2+3x-5

Answers

Answer:

A-B = 6x^2-7x-6

Step-by-step explanation:

A = 5x^2-4x-11

B = x^2+3x-5

A-B = (5x^2-4x-11) - (-x^2+3x-5) = 5x^2-4x-11+x^2-3x+5 = 6x^2-7x-6

finding the missing number 2 4 6 __ 10 12​

Answers

Answer:

8 because the pattern goes up by 2 each time

Answer:

8

Step-by-step explanation:

What is the least common denominator of this equation

Answers

Answer:

LCD = 30

Step-by-step explanation:

[tex]\frac{5}{6}[/tex] x - [tex]\frac{1}{10}[/tex] x = [tex]\frac{2}{15}[/tex]

Multiply through by 30 ( the LCM of 6, 10, 15 ) to clear the fractions

25x - 3x = 4

22x = 4 ( divide both sides by 22 )

x = [tex]\frac{4}{22}[/tex] = [tex]\frac{2}{11}[/tex]

Answer:

5

Step-by-step explanation:

[tex] \frac{5}{6} x - \frac{1}{10} x = \frac{2}{15} \\ \frac{50x - 6x}{60} = \frac{2}{15} (criss \: cross) \\ \frac{44x}{60} = \frac{2}{15 } \\ \frac{11x}{15} = \frac{2}{15} (simplify) \\ 165x = 30(criss \: cross) \\ x = \frac{30}{165} = \frac{6}{33} = \frac{2}{11} \\ x = \frac{2}{11} [/tex]

24 peppermint; 8 to 5

Answers

Five eighths of 24 is 15
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