1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
abruzzese [7]
3 years ago
11

Suppose that 5 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 39 cm.

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

Answer

given,

work = 5 J

spring stretch form 30 cm to 39 cm

W = \dfrac{1}{2}kx^2

x = 0.39 - 0.30 = 0.09 m

5 = \dfrac{1}{2}k\times 0.09^2

k = \dfrac{5\times 2}{0.09^2}

k = 1234.568 N/m

a) work when spring is stretched from  32 cm to 34 cm

x₂= 0.34 -0.30 = 0.04 m

x₁ = 0.32 - 0.30 = 0.02

W = \dfrac{1}{2}k(x_2^2-x_1^2)^2

W = \dfrac{1}{2}\times 1234.568 \times (0.04^2-0.02^2)^2

W = 0.741 J

b) F = k x

  25 = 1234.568 × x

     x = 0.0205 m

     x = 2.05 cm

You might be interested in
On a piece of paper, use a protractor to construct a triangle with angle measures of 40° and 60º.
Dvinal [7]

Answer:

80

Step-by-step explanation:

every triangle, no matter what shape or size, will have all angles add up to 180 degrees so 180-40-60=80

7 0
2 years ago
Which ordered pair represents the y-intercept of the graph of the equation y= -4x - 7
oksian1 [2.3K]

Answer:

(0,-7)

Step-by-step explanation:

7 0
3 years ago
Helpppp me plz i dont get it
SOVA2 [1]
Try 3.14x2= 6.28 im so sorry if its wrong
6 0
2 years ago
Read 2 more answers
Work out the area of the circle and leave it in cm plz
Marat540 [252]

Answer:

132.7495 cm^2

Step-by-step explanation:

area of circle=πr^2

radius=6.5

6.5^2

42.25

42.25*3.142

132.7495

5 0
2 years ago
Read 2 more answers
Michael is 4 years younger than twice his cousin, Damien’s age. The sum of their ages is 46. How old is Damien?
Verizon [17]
Let x = The age of Michael
Let 2x-3 = The age of Michaels cousin
X+2x-3=46
x=16+1/3
X = 49 years

I think that’s the answer I’m not 100% sure though
4 0
3 years ago
Other questions:
  • Which of the following correctly expresses the number below in scientific notation0.00000171
    8·1 answer
  • Determine weather the algebraic expression is linear expression explain
    15·1 answer
  • | 13.1 +13<br> What is 13.1+13 in fraction form<br> What is the answer in mixed fraction
    9·1 answer
  • Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour.
    7·1 answer
  • The radius of a spherical ball is measured at r = 25 cm. Estimate the maximum error in the volume and surface area if r is accur
    12·1 answer
  • What is the probability of flipping a coin 4 times and it landing heads every time?
    10·1 answer
  • I need help with 4 5 and 6
    13·1 answer
  • -10x + 3y = 34<br> y = -8x
    14·1 answer
  • Factor the polynomial completely given that (x+2) is a factor. Remember to show all of your work, including the polynomial divis
    7·1 answer
  • What is the value of x
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!