Answer:
a) k
= 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=kx
k = mg/x = 100*9.8/0.027
k = 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)/Nchain
= [(1.18* 10¹¹)(6*10⁴)]/(9.43 * 10¹²)
= 75.08 N/m
Answer:
x=9 y=-4
Step-by-step explanation:
1) to eliminate a variable make sure they are the same so you can cancel them out
lets eliminate x
-3 and -2 share a GCF of 6 so
2(-3x-4y=-11)
-6x-8y=-22
3(-2x-6y=6)
-6x-18y=18
-6x-8y=-22
-
-6x-18y=18
--------------------------
10y=-40
y=-4
2)substitute y as -4 in the second equation
-2x-6(-4)=6
-2x+24=6
-2x=-18
x=9
Slope is already given in the question so we only need to solve for the y-intercept.
Slope intercept form: y = mx + b
m = slope
b = y-intercept
-3/5 = -0.6
1 = -0.6(1) + b
1 = -0.6 + b
1 + 0.6 = -0.6 + b + 0.6
1.6 = b
Now, write in slope-intercept form.
y = -3/5x - 1.6
______
Best of Luck,
Wolfyy :)
Answer:
4y
Step-by-step explanation:
4y is a term in itself 3 and x separate aren't and 4x + 7 is an equation not a term.
