Less common denominators for 7/10 2/5

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

MrMuchimi

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

8 0

3 years ago

The numbers of points scored by a football team in 7 different games are

Gnom [1K]

A. True

B. False

C.true

3 0

3 years ago

Find the missing side of this right a triangle? help pls

yaroslaw [1]

Hi, there!

_____

To find the missing side length of this triangle (which is a right triangle), we'll use Pythagoras' Theorem.

$-\!\!\!-\!\!\!-\!\!\!\longrightarrow\boldsymbol{a^2+b^2=c^2}$

Here,

$\textsc{legs:}\begin{cases} \bold{a}\\\bold{b} \end{cases}$

Hypotenuse (the longest side): c

We know that

$\bold{a=2 \ and \ b=28}$

So, we can substitute our parameters, and solve for c.

$\bold{2^2+28^2=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ square 2 and 28

$\bold{4+784=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ add the numbers

$\bold{788=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ square root both sides

$\bold{\sqrt{788}=c}$

Hope the answer - and explanation - made sense,

happy studying!!

6 0

2 years ago

An experiment consist of rolling 3 fair dice (1 red die, a blue die, and a white die) and recording the number rolled on each di

Setler79 [48]

In 1, there are 6 outcomes for each die, so for three dice, the total combination is 6 x 6 x 6 = 216 outcomes. Hence, the probability of any individual outcome is 1/216 

The outcomes that will add up to 6 are
1+1+4 
1+4+1 
4+1+1 
1+2+3 
1+3+2 
2+1+3 
2+3+1 
3+1+2 
3+2+1 
2+2+2 

Hence the probability is 10/216 

In 3, the minimum sum of the three dice is 3. so we start with this
P(n = 3) 
1+1+1 ; 1/216 

P(n = 4) 
1+1+2 
1+2+1 
2+1+1 ; 3/216 

P(n = 5) 
1+1+3 
1+3+1 
3+1+1 
1+2+2 
2+1+2 
2+2+1; 6/216

The sum in 3 is 10/216 or 5/108

3 0

3 years ago

Help me ASAP! Will give brainliest to whoever answers these correctly.

hammer [34]

#9. There are 180 degrees in a triangle. We already know two of the sides which added together make 112. Then we do, 180-112=68

#10. We do the same process. 90 + 60 = 150
150-180= 30

#11. To find whether or not any three numbers can make a triangle, two of the numbers must equal more than the remaining number. But this has to be the case for any combination. 6+7=13. 13 is larger than 11. So yes it can.

#12. 8+2=10 which may be bigger than 6 but, 6+2=8. Which is equal to 8. So no, it cannot make a triangle.

I’m still working out the first question

5 0

3 years ago