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
diamong [38]
3 years ago
11

One mole of iron (6 × 1023 atoms) has a mass of 56 grams, and its density is 7.87 grams per cubic centimeter, so the center-to-c

enter distance between atoms is 2.28 × 10-10 m. You have a long thin bar of iron, 2.7 m long, with a square cross section, 0.07 cm on a side. You hang the rod vertically and attach a 100 kg mass to the bottom, and you observe that the bar becomes 2.70 cm longer. From these measurements, it is possible to determine the stiffness of one interatomic bond in iron. 1) What is the spring stiffness of the entire wire, considered as a single macroscopic (large scale), very stiff spring? ks= N/m 2) How many side-by-side atomic chains (long springs) are there in this wire? This is the same as the number of atoms on the bottom surface of the iron wire. Note that the cross-sectional area of one iron atom is (2.28× 10-10)2 m2. Number of side-by-side long chains of atoms =
Mathematics
1 answer:
MrMuchimi3 years ago
8 0

Answer:

a) k_{s} = 3.6 N/m ; b) 9.43 * 10¹²; c) 1.18 * 10¹¹; d) 75.08 N/m

Step-by-step explanation:

Length of iron bar = L = 2.7m;

side length of cross section = a = 0.07cm = 0.0007m;

x = 2.7 cm = 0.027m;

m = 100kg;

ρ = 7.87gm/cm³;

da = 2.28 * 10⁻¹⁰m;

a)

Fnet = F - mg

where Fnet = 0

So,

F = mg where F=k_{s}x

k_{s} = mg/x = 100*9.8/0.027

k_{s} = 3.6 N/m

b)

Nchain = Aw/Aa =a²/(da)²

                           = (o.ooo7)²/(2.28 * 10⁻¹⁰)²

                           = 9.43 * 10¹²

c)

Nbond = L/da = 2.7/2.28 * 10⁻¹⁰

                       = 1.18 * 10¹¹

d)

Spring stiffness of wire = ksi = (Nbondk_{s})/Nchain

                                      = [(1.18* 10¹¹)(6*10⁴)]/(9.43 * 10¹²)

                                      = 75.08 N/m

You might be interested in
A consumer bought a CD for $18.25 and paid with a $20 bill. How much change was there?
Lerok [7]
$1.75 would be the answer
8 0
3 years ago
Read 2 more answers
A store sells 8 cans of soup for ​$22. How much would it cost you to buy 9 cans of soup​?It would cost ​$nothing.
puteri [66]
$24.75

this is because 22 ÷ 8 × 9 is equal to 24.75
this is the correct answer
6 0
3 years ago
X-2y = 3<br> 2x + y = 11<br> What is the value of x
mrs_skeptik [129]

Answer:

x=5 y=1

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Correct answer gets brainiest.
eimsori [14]

Answer:

the answer is D

Step-by-step explanation:

hope this helps

3 0
3 years ago
Read 2 more answers
Find the value of x in the question
ICE Princess25 [194]

Answer:

x=52

Step-by-step explanation:

r=90 s=34  q=180-(90+34)

180-(90+34)=56

to find angle sqr

180-56=124

124=x+72

52=x

4 0
2 years ago
Read 2 more answers
Other questions:
  • Is (-4, 2) a solution of 2x - 5y = 10?
    9·1 answer
  • Help with 10 and 11 please!
    8·1 answer
  • How do I simplify this?
    6·1 answer
  • Given that curl F = 2yi – 2zj + 3k, find the surface integral of the normal component of curl F (not F) over (a) the open hemisp
    13·1 answer
  • I’m having trouble with this problem can someone help me
    10·1 answer
  • 2 brothers are 1m 60 cm and 1m 44cm tall. What is their ratio of their height​
    10·1 answer
  • Solve the equation for y <br> 1/2y - 21/4 = -35/4
    10·1 answer
  • What are the roots of the equation?<br> x2 + x - 6 = 0
    9·1 answer
  • Students were surveyed about their favorite colors. of the students preferred red, of the students preferred
    6·1 answer
  • 7x + 10x + 20 = what​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!