HOPE THIS HELPS...
Hooke's law is a law of physics that states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, Fs = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist Robert Hooke. He first stated the law in 1676 as a Latin anagram.[1][2] He published the solution of his anagram in 1678[3] as: ut tensio, sic vis ("as the extension, so the force" or "the extension is proportional to the force"). Hooke states in the 1678 work that he was aware of the law since 1660.
Hooke's equation holds (to some extent) in many other situations where an elastic body is deformed, such as wind blowing on a tall building, and a musician plucking a string of a guitar. An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean.
Hooke's law is only a first-order linear approximation to the real response of springs and other elastic bodies to applied forces. It must eventually fail once the forces exceed some limit, since no material can be compressed beyond a certain minimum size, or stretched beyond a maximum size, without some permanent deformation or change of state. Many materials will noticeably deviate from Hooke's law well before those elastic limits are reached.
On the other hand, Hooke's law is an accurate approximation for most solid bodies, as long as the forces and deformations are small enough. For this reason, Hooke's law is extensively used in all branches of science and engineering, and is the foundation of many disciplines such as seismology, molecular mechanics and acoustics. It is also the fundamental principle behind the spring scale, the manometer, and the balance wheel of the mechanical clock.
The modern theory of elasticity generalizes Hooke's law to say that the strain (deformation) of an elastic object or material is proportional to the stress applied to it. However, since general stresses and strains may have multiple independent components, the "proportionality factor" may no longer be just a single real number, but rather a linear map (a tensor) that can be represented by a matrix of real numbers.
In this general form, Hooke's law makes it possible to deduce the relation between strain and stress for complex objects in terms of intrinsic properties of the materials it is made of. For example, one can deduce that a homogeneous rod with uniform cross section will behave like a simple spring when stretched, with a stiffness k directly proportional to its cross-section area and inversely proportional to its length.
Step-by-step explanation:
2x + 15° + x = 180° { Being co-interior angles }
3x = 180°- 15°
3x = 165°
x = 165° / 3
x = 55°
2x + 15° = 2 *55° + 15° = 125°
Hope it will help :)❤
Someone help and plz make sure it’s right :)
Answer:
A triangle‘s angles should add up to 180 and the given angles sum up to 130 so x + 58 = 50 so x = -8
Hope this helped and brainliest please
Answer:
-8
Step-by-step explanation:
-8+58=50
50+53+77=180
triangles angles should equal 180
. Donte estimates he will need 43 pounds of dog food. He actually needs 61 pounds. Calculator Donte’s percent error. * Your answer Submit
Answer:
1×
Step-by-step explanation:
#:;:,dgvgukyujj hhyfh
please help me (wrong answers get reported)
Answer:
pretty confident it's D. Also your in testnav gl
Step-by-step explanation:
Answer:
Ralph give out 10 lollipops every 5 days.
Question in picture! will make BRAINLIEST to first correct response!!!
Answer:its B
Step-by-step explanation:
Alright have posted it now.
Substitution:
X + 2y = 13
-2x - 3y = -18
Answer:
x = -3
y = 8
Step-by-step explanation:
x + 2y = 13 ------------(I)
x = 13 - 2y -----------(II)
-2x - 3y = -18 ----------(III)
Substitute x = 13 - 2y in equation (III)
-2*(13 - 2y) - 3y = -18
-2*13 - 2y *(-2) -3y = -18
-26 + 4y - 3y = -18 {Combine like terms}
-26 + y = -18 {Add 26 to both sides}
y = -18 + 26
y = 8
Substitute y = 8 in equation (II)
x = 13 - 2*8
= 13 - 16
x = -3
x = -3
y = 8
Yeah can someone help me on this. I don't know what to add to prove it?
Answer:
AC bisects BCD
Reason: The angles in the resulting triangles are congruent.
What is the slope of the line through (-12, 1) and (-1, 1)?
Answer:
The equation is y = 1. Therefore, the slope is undefined.
Can you help me, please?
Answer:
5x-8=90
5x=90+8
5x=98
x=98/5
x=19.6
5(19.6)-8
98-8
90
4(19.6)+26
78.4+26
104.4
hence both lines are not perpendicular
is 5 to the power of -1 the same as 5 to the power of 1/2?
Answer:
No
Step-by-step explanation:
5 to the power of -1 is 0.2 while 5 to the power of 1/2 is 2.5
Sturdy’s paper plates cost $3.12 for 24 plates. Tough’s paper plates cost $4.32 for 32 plates. Which is the better buy?
Answer:
Sturdy's paper plates
Step-by-step explanation:
Let's see how much 8 plates cost:
Sturdy
24/3=8
$3.12/3= $1.04
Tough
32/4=8
$4.32/4=$1.08
$1.04<$1.08
Because Tough's paper plates costs 4 cents more for 8 plates, Sturdy's paper plates are the better buy.
Will give brainliest and 20 points!
Evaluate 2-(-4)+3+(-6)-(-2)
Answer:
5
Step-by-step explanation:
2-(-4)+3=9
9+(-6)-(-2)=5
Answer:
5
Step-by-step explanation:
2-(-4)+3+(-6)-(-2) if a negative is next to a negative number then It'll be a positive
2+4+3+(-6)+2
6+3+(-6)+2
9+(-6)+2
11+(-6)
5
Let's say you have 13 marbles in a bag. Seven marbles are big, 6 are small. What is the probability of pulling out one big marble, replacing it, then pulling out a small marble?
Answer:
7/26
Step-by-step explanation:
First, find the probability of pulling out a big marble.
Since there are 7 big marbles, and 26 in total, the probability is 7/26
Now, find the probability of pulling out a small marble after the replacement.
There are 6 small marbles and 26 in total, so the probability is 6/26. This can be simplified by dividing each side by 2. This will get you 3/13
To find the probability of both of these happening, multiply the probabilities by each other:
(7/26) x (3/13)
= 7/26
So, the probability is 7/26
PLEASE HELP I RELLY NEED IT!!
Answer: B jus times two 8s
Anna received a gift card for $25 to an art store. The table shows the cost of the items.
Item Cost ($)
Bottle of Paint: 2.75
Brush: 1.09
Canvas: 7.99
Easel: 18.99
Palette: 4.50
She bought a canvas, two brushes, and three bottles of paint.
Which addition equation can be used to determine how much more money x Anna still has to spend?
A)
7.99 + (1.09) + (2.75) + x = 25
B)
7.99 + 3(1.09) + 2(2.75) + x = 25
C)
7.99 + 2(1.09) + 3(2.75) + x = 25
D)
7.99 + 2(1.09) + 3(2.75) + 25 = x
Answer:
7.99+2(1.09)+3(2.75)+x =25
Step-by-step explanation:
what's given are the prices of the canvas, brushes, and bottles of pain. 7.99 represents the one canvas Anna is buying, 2(1.09) represents the 2 brushes, and 3(2.75) represents the bottle of paints. Now what's left is x and x represents the amount of money left on the gift card. The gift card is $25 in total so that's why at the end of the equation it equals to $25.
Mrs. Mobley can jog 3 miles in 27 minutes. How many miles can she jog in 81 minutes?
Answer:
9 miles
Step-by-step explanation:
You need to get 27 minutes to 81 minutes so you multiply 27 by 3, and that is 81, so you simply multiply 3 by 3 and get 9! Hope this helps! ;)
(27 x 3) = 81
(3 x3) = 9
What is the total surface area of the rectangular pyramid whose net is shown?
square inches
help me
Answer:
95 in.²
Step-by-step explanation:
Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle
Area of triangle = ½*base*height
base = 5 in.
height = 7 in.
Area of triangle = ½*5*7 = 17.5 in.²
Area of rectangle = Length*width = 5*5 = 25 in.²
Plug in the values
Total surface area of the rectangular pyramid = 4(17.5) + 25
= 95 in.²
Given the function f(x) = 3x + 6 and g(x), which function has a greater slope?
Answer:
If both g(x) and f(x) are the same equation, then they will have the same slopes.
Answer: C
Step-by-step explanation:
you're welcome
4x + 6y = -22
y + 3x = 1
Solution
Answer:
(-7,22)
Step-by-step explanation:
X=-7 and y=22
If someone wants to help me
Answer:
x=8
Step-by-step explanation:
brainliest to whoever gets the correct answer
Answer:
375
Step-by-step explanation:
m= d * v
d= 3
v= 5 * 5 * 5= 125
125 * 3 = 375
find the value of x.
Answer:
[tex]\boxed{\text{\sf \Large 3}}[/tex]
Step-by-step explanation:
Angles in a triangle add up to 180°
[tex]180-(24x+3+25x)[/tex]
[tex]-49x+177[/tex]
Angles on a straight line add up to 180°
[tex]-49x+177+150=180[/tex]
[tex]x=3[/tex]
Solve for n.
39 = n − –12
n =
Answer:
Two negative make a positive so this equation is basically 39 = n + 12 so you need to subtract 12 from each side. This makes it n = 27
Hope this helps!
a⋅3 = -30
i need answers anybody know?
-10
Step-by-step explanation:
How do you solve this?
Answer:
you do what it says
Step-by-step explanation:
Answer:
850,000
Step-by-step explanation:
Sorry if it's not the right answer I have not worked on this math for a long time.
John did an experiment pulling marbles out of a bag, without knowing the contents of the bag. After performing
20 trials, John had pulled 3 red marbles, 11 blue marbles, and 6 orange marbles. He knows that there are 10
marbles in the bag. How many orange marbles could he expect to pull if he performed a new trial with a total of
1,000 trials?
Answer:
300
Step-by-step explanation:
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
Answer$20
Step-by-step explanation:
The price of 1 pound is $2 so 2x10 would be 20.
[tex]20$[/tex]
Alica buys 10 pounds of hamburger and she pay 20$ for it.
please help me with this.
Answer:
B because the Domains aren't repeating
Step-by-step explanation:
Answer:
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PLEASE HELP FAST 50 POINTS
what is the sum of -1/11 and -5/11 A. 4/11 B.6/11 C.-4/11 D.-6/11
Answer:
D) -6/11
Step-by-step explanation:
Answer:
D) -6/11
Step-by-step explanation:
A punch bowl contained 2 liters of ginger ale, 1 liter of orange juice, and 1 liter of cranberry juice. Select all of the statements that are true. (Choose 2) 2 points The ratio of ginger ale to the entire punch bowl is 1 to 4. The ratio of orange juice to ginger ale is 2 to 1. The ratio of juices to ginger ale is 2 to 2. The ratio of the entire punch bowl to the juices is 2 to 4. The ratio of orange juice to the cranberry juice is 1 to 1.
Answer:
The ratio of juices to ginger ale is 2 to 2
The ratio of orange juice to the cranberry juice is 1 to 1
Step-by-step explanation:
Ginger ale = 2 liters
Orange juice = 1 liter
Cranberry juice = 1 liter
Total ratio = 2 + 1 + 1 = 4
The ratio of ginger ale to the entire punch bowl is 1 to 4.
Ginger ale : entire punch bowl
= 2 : 4
= 1 : 2
Not true
The ratio of orange juice to ginger ale is 2 to 1.
Orange juice : ginger ale = 1 : 2
Not true
The ratio of juices to ginger ale is 2 to 2.
juices : ginger ale = orange juice + cranberry juice : ginger ale
= 1 + 1 : 2
= 2 : 2
True
The ratio of the entire punch bowl to the juices is 2 to 4.
Entire punch bowl : juices 4 : 2
Not true
The ratio of orange juice to the cranberry juice is 1 to 1.
Orange juice : cranberry juice = 1 : 1
True