How to find the sum of the forces in the y direction of an elevator?

Answers

Answer 1

The way to calculate the sum of the forces in the y direction of an elevator; has been outlined below

Equilibrium of Forces

If you are in an elevator by itself, then the combined system of you and the elevator could have 3 possible situations which are;

The elevator has no acceleration because it is standing still or moving with constant velocity.The elevator has an upward acceleration because it is accelerating upward, or decelerating while it's way down.The elevator has a downward acceleration since it is accelerating down, or decelerating while on the way up.

Now, in the vertical y direction, there are three forces namely;

The force of gravity.A downward normal force.An upward force from the tension in the cable holding the elevator.

Thus, the sum of forces in the y-direction with the normal force acting on you from the elevator are any of the following;

N = mg;  provided that the elevator is at rest or moving at constant velocity.

N = mg + ma; Provided that the elevator has an upward acceleration.

N = mg - ma; Provided that the elevator has a downward acceleration.

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Answer 2
Final answer:

In an elevator at rest, the sum of the forces in the y direction is equal to the weight of the person.

Explanation:

If the elevator is at rest, the sum of the forces in the y direction is equal to zero. This means that the upward force exerted by the scale, Fs, must be equal to the downward force exerted by the weight of the person, w. According to Newton's third law, Fs and Fp (the force exerted by the person on the scale) are equal in magnitude and opposite in direction.

To find the value of Fs, we can apply Newton's second law, which states that the net force in the y direction is equal to the mass of the object times its acceleration. In this case, the net force is Fs - w and the acceleration is zero. Therefore, Fs = w.

So, the sum of the forces in the y direction of the elevator is equal to the weight of the person.


Related Questions

lisha is making headbands using ribbon. she would like to make 12 head bands. Each one requires 15.5 inches of ribbon. She estimates that she will need to buy 160 inches of ribbon is her estimate reasonable? Explain your reasoning and lol I'm not in college i just did that

Answers

No her estimate is to low because if you multiply 15.5 by 12 you get 186
We know that Lisha is making headbands using ribbon and she would like to make 12 head bands. Additionally, each one requires 15.5 inches of ribbon. She estimates that she will need to buy 160 inches. 

15.5 * 12 = 186 

Her estimate is not reasonable.

186-160 = 26 

She still needs 26 more ribbons. 

Multiple choice strategy: some students have suggested that if you have to guess on a multiple-choice question, you should always choose
c. carl, the student, wants to investigate this theory. he is able to get a sample of past tests and quizzes from various teachers. in this sample there are 110 multiple-choice questions with four options (a, b, c, d). the distribution of correct answers from this sample is given in the frequency table below. correct answer frequency a 22 b 26 c 38 d 24

Answers

Read the question before you look at the answer.
Come up with the answer in your head before looking at the possible answers, this way the choices given on the test won't throw you off or trick you.
Eliminate answers you know aren't right.
Read all the choices before choosing your answer.
If there is no guessing penalty, always take an educated guess and select an answer.
Don't keep on changing your answer, usually your first choice is the right one, unless you misread the question.
In "All of the above" and "None of the above" choices, if you are certain one of the statements is true don't choose "None of the above" or one of the statements are false don't choose "All of the above".
In a question with an "All of the above" choice, if you see that at least two correct statements, then "All of the above" is probably the answer.
A positive choice is more likely to be true than a negative one.
Usually the correct answer is the choice with the most information.
Students with better study methods and strategies score higher on their exams.Everyone is different, different methods work for different people the following are only suggestions on improving upon your current studying techniques.It is best to review the material right after class when it's still fresh in your memory.Don't try to do all your studying the night before the test. Instead space out your studying, review class materials at least several times a week, focusing on one topic at a time.
Have all of your study material in front of you: lecture notes, course textbooks, study guides and any other relevant material.
Find a comfortable and quiet place to study with good lighting and little distractions
(try avoiding your own bed, it is very tempting to just lie down and take a nap).
Start out by studying the most important information.
Learn the general concepts first, don't worry about learning the details until you have learned the main ideas.
Take notes and write down a summary of the important ideas as you read through your study material.
Take short breaks frequently. Your memory retains the information that you study at the beginning and the end better than what you study in the middle.
Space out your studying, you'll learn more by studying a little every day instead of waiting to cram at the last minute. By studying every day, the material will stay in your long-term memory but if you try to study at the last moment, the material will only reside in your short-term memory that you'll easily forget.
Make sure that you understand the material well, don't just read through the material and try to memorize everything.
If you choose to study in a group, only study with others who are serious about the test.
Test yourself or have someone test you on the material to find out what your weak and strong areas are. You can use the review questions at the end of each chapter or practice tests the teacher may give out as well as other materials.
Listening to relaxing music such as classical or jazz on a low volume can relieve some of the boredom of studying.
Don't study later than the time you usually go to sleep, you may fall asleep or be tempted to go to sleep, instead try studying in the afternoon or early evening. If you are a morning person try studying in the morning.

Solve for x.

−5x−4(x−6)=−3

Answers

-5x -(4x-6) = -3      Distribute within parentheses
-5x -4x + 24 = -3   Subtract 24 from both sides, collect like terms
-9x = -27               Divide both sides by -9
x= 3

-5x -(4x-6) = -3      

-5x -4x + 24 = -3  

-9x = -27              

x= 3

120 × a = 2889 what is the product

Answers

the answer is 24.075
How to figure it out:

2889 divided by 120 to get your answer.


24.075

One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. Which of the following equations could be used to determine the dimensions of the rectangle

Answers

2(x)+2(x-3)=54 is the equation you would use where x is one side
Let x be the longer side of the rectangle 

Side B: x-3 

Perimeter: 2(l+w) 
54"=2(x+x-3) 
54"=2(2x-3) 
54"=4x-6 
54-6=4x
48/4=x 
12=x 

Therefore the longer side is 12" and the shorter side of the rectangle is (12-3)= 9" 

Hope I helped :) 

A 20-foot cable hangs from the top of a building that is 50 feet high. if the cable weighs 2 pounds per foot, how much work is done in lifting up the entire cable to the top of the building?

Answers

20*2=40
40*50=2000
2000/60=33.33
about 33 hours by lifting by hand
Final answer:

To find the work done in lifting the entire cable to the top of the building, multiply the weight of the cable by the height of the building.

Explanation:

To calculate the work done in lifting the entire cable to the top of the building, we need to find the weight of the cable. The weight of the cable can be found by multiplying the length of the cable (20 feet) by its weight per foot (2 pounds per foot). Therefore, the weight of the cable is 20 feet × 2 pounds per foot = 40 pounds.

The work done in lifting the cable to the top of the building is equal to the product of the weight of the cable and the height of the building. So, the work done is 40 pounds × 50 feet = 2000 foot-pounds.

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a line that intersects the points (-23,-17) and (-13,-7), find the slope, now fill in the missing inputs to the slope-intercept formula -17=1(?)+b or (?)=(-13)+b

Answers

The slope of the line can be calculated using the following formula:
slope = (y2-y1) / (x2-x1)

The given points are (-23,-17) and (-13,-7), therefore:
y2 = -7
y1 = -17
x2 = -13
x1 = -23

Substitute with these values to get the slope as follows:
slope (m) = (-7--17) / (-13--23) = 1

The formula of the slope-intercept is:
y = mx+b where m is the slope and b is the intercept.
Using the point (-23,-17), the formula would be:
-17 = 1(-23) + b
Using the point (-13,-7), the formula would be:
-7 = 1(-13) + b

marissa sprinted for 48 yards. how many feet did she sprint.

Answers

She sprinted 144 ft. There are 3 ft. In one yard so take 48 times 3 to get 144
She sprinted 144 feet because if you convert yards to feet using the conversion (0.333*1) then you will get your answer.

In an x-y plot of an experiment what is usually plotted on the x axis?
a. the independent variable, which is the parameter that was manipulated.
b. th

Answers

The answer is a. In an experiment, you manipulate the independent variable.

Two numbers total 53 and have a difference of 25. Find the two numbers.

Answers

Two numbers (x + y) equal (=) 53
and
have a difference (x - y) of (=) 25.

So, x + y = 53 and x - y = 25.

Solve one equation for a variable. We'll solve for x in the first equation.

x + y = 53   Subtract y from both sides
     x = 53 - y

Substitute x for (53 - y) in the second equation.

        x - y = 25     Substitute (53 - y) in the x spot
53 - y - y = 25     Combine like terms (-y and -y)
   53 - 2y = 25     Subtract 53 from both sides
          -2y = -28   Divide both sides by -2
             y = 14

Now, find x by plugging this y-value (14) into the first equation.

  x + y = 53   Substitute y for 14
x + 14 = 53   Subtract 14 from 53
       x = 39

Check both of your answers by plugging them into the original equations.

    x + y = 53   Plug in your numbers (39 and 14)
39 + 14 = 53   Add
       53 = 53

    x - y = 25   Plug in your numbers (39 and 14)
39 - 14 = 25   Subtract
      25 = 25

So, your answers are x = 39 and y = 14 .

A 27 oz bottle of a new soda costs $2.25. What is the unit rate, rounded to the nearest tenth of a cent?

Answers

27 / 2.25 =
1 / x =
Divide 2.25 by 27 to get
.08 dollars per ounce
Final answer:

The unit rate is the cost per ounce of soda. By dividing the total cost by the total ounces, we get the price per ounce in dollars ($0.08333), and converting this to cents gives us $8.3 cents per ounce.

Explanation:

The term unit rate refers to a rate in which the second term is 1. In this case, we want to find out how much 1 ounce of soda costs.

First, you want to divide the total cost of the bottle by the total ounces in the bottle. So you divide $2.25 by 27. The answer you get is the price of one ounce of soda in dollars. When calculating it, you get approximately $0.08333.

To get the rate in cents, convert the dollars to cents by multiplying by 100 (since 1 dollar is 100 cents). The answer ($8.33) is the cost of one ounce to the nearest tenth of a cent.

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A boat was sailing for 4 hours and covered 224 miles. A jet is ten times as fast as the boat. Find the jet’s speed.

Answers

First, you would need to find out how many miles the boat can sail in 1 hour. To do this, you would divide the total number of miles traveled by the time it took to travel it. 
224 ÷ 4 = 56
56 mi/1 h

Next, you would multiply the number of miles the boat traveled, 56, by 10. 

56 x 10 = 560

The jet flew 560 mi/per hour

I hope this helps!

224/4 = 56 miles per hour
56 x 10 = 560 miles per hour

what is the solution of -8/2y-8=5/y+4 - 7y+8/y^2-16? y = –4 y = –2 y = 4 y = 6

Answers

Please clarify whether you meant (-8/2)y or   -8 / (2y - 8).

It's always a good idea to use parentheses for clarity; it reduces or removes the need for guessing.

Here is my interpretation of your equation:

-8/2y-8=5/y+4 - 7y+8/y^2-16  becomes

-8 / (2y-8) = 5 / (y+4) - 7y + 8 / (y^2-16)   (note use of parentheses)

Factoring all of the denominators results in:

-8 / [2(y-4)] = 5 / (y+4) - 7y  + 8 / [(y-4)(y+4)]

The LCD is 2(y-4)(y+4).  You must multiply each and every term in the above equation by this LCD to clear fractions:

-8(y+4) = 5(2)(y-2) - 7(y+4)(y-4) + 8/2

Then -8y - 32 = 10y -20 -7y^2 + 4

I believe the "-7y^2" term is incorrect.


In retrospect, you could simply substitute each of the given answers (y-values), one at a time, to determine which, if any, makes the equation true:

-8 / (2y-8) = 5 / (y+4) - 7y + 8 / (y^2-16)   (note use of parentheses)

Let's test y = 4.  Is this a solution?  Subst. 4 for y in the above equation, we get:

-8 / (8-8) and several more terms.  No, 4 is not a solution, because 
-8 / (0) is undefined.  Eliminate y = 4 as a solution.  Try y = -4 and the other given possible solutions.  Do any of them make this equation true?

Answer:

d. 6

Step-by-step explanation:

just took the pretest:) have such a fantastic day loves, you're doing AMAZING!

Jeff invests an amount at 4% interest compounded annually. After 3 years, he has $1687.30. What was the original amount Jeff invested?



$1500

$1200

$1450

$750

Answers

In order to determine the principal amount, remember that $1,687.30 is the principal amount plus all interest accumulated over 3 years. 
:
To find the effect of 4% annual interest over 3 years, take 1.04 and raise it to the third power:
1.04³ = 1.125

Divide the final amount, 1687.30 by 1.125 to find the principal amount:
1687.30 ÷ 1.125 = ~1500
Answer is A. 

How would I find a given triangle where: A=0.1, B=1 and c=9? Thanks in advance.

C=
a=
b=

Answers

[tex]\bf \textit{Law of sines} \\ \quad \\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\ -------------------------------\\\\ \begin{cases} \measuredangle A=0.1\\ \measuredangle B=1 \end{cases}\quad thus\implies \measuredangle C=\pi -A-B\implies \measuredangle C=\pi -1.1[/tex]

[tex]\bf \cfrac{sin(B)}{b}=\cfrac{sin(C)}{c}\implies \cfrac{sin(1)}{b}=\cfrac{sin(\pi -1.1)}{9} \\\\\\ \boxed{\cfrac{9sin(1)}{sin(\pi -1.1)}=b} \\\\\\ \cfrac{sin(A)}{a}=\cfrac{sin(C)}{c}\implies \cfrac{sin(0.1)}{a}=\cfrac{sin(\pi -1.1)}{9} \\\\\\ \boxed{\cfrac{9sin(0.1)}{sin(\pi -1.1)}=a}[/tex]

make sure your calculator is in Radian mode.

Lakeya makes cupcakes to sell at her friend's lemonade stand. She sold 24 cupcakes and sold them for $3 each. Write a number sentence using the variable m to represent the total amount of money she made.

Answers

24 * 3 = m
because she sold 24 cupcakes for $3 then you would multiply 24 and 3 to get the amount of money she made


what is the digit in the tenths place 15.16 ?

Answers

the 6 is in the tenths place 




A college freshmen must take a science course, a humanities course and a mathematics course. If she may select any of 6 science courses, any of 4 humanities and any of 4 mathematics courses, how many ways can she arrange her program? Make a tree diagram and list the possibilities.

Answers

I can't make a tree diagram for you, but I can tell you that she can make 96 different arrangements.

You would like to join a fitness center. Fit-N-Trim charges $80 per month. Fit-For-Life charges a one tim e membership fee of $75 and $55 per month. The lines shown in the graph represent the cost y to attend each fitness center for x months. Are the lines parallel?

Answers

y=80x
y=55x+75
They are not parallel

At Crescent High School, 120 students plan on going to an in-state college and 70 students plan on going to an out-of-state college. What is the ratio of students planning on going to an in-state college to students planning on going to an out-of-state college?

Answers

In order to put two quantities as a relationship, just put a colon or a fraction bar in between them, in the order that the problem asks you.

In this problem, it's asking for the # of students planning to go to an instate college to the # of students planning to go to an out of state college.
So, 120 : 70

Even though it doesn't tell you to simplify, it will never hurt you, so always do it.
Both 120 and 70 can be divided by 10, so the simplified answer would be 12:7

Hope this helps!

Estimate instantaneous rate of change of the point indicated p(x) = 3x^2-5, x = 2

Answers

Attached a solution and showed work.

Which of the following is rational

A. 3*pi
B. 2/3+9.26
C. sqrt of 45 + sqrt of 36
D.14.3... + 5.78765239...

Answers

D is rational cause it continues

How many times does 1/2 fit into 30

Answers

It fits in the 30, 60 times.

30 ÷ [tex] \frac{1}{2} [/tex]

To divide by a fraction, multiply by its reciprocal (find reciprocal by flipping the fraction)

Ex. 30 * 2

Multiply 30 by 2 to get 60.

Hi, How do you find the first and second derivatives of the function.
y=(x^2-7/63x) (x^4+1/x^3)

I think for the first derivative dy/dx it's 2/63x-3/63x^-3+4/9x^-5 but I'm not sure, and I have no clue for the second derivative d^2y/dx^2.

Answers

The first hand derivative of the function is [tex]6x^5 - \frac{35}{63}x^4 - \frac{1}{x^2} - \frac{4}{63x^3}[/tex] and the second derivative is [tex]30x^4 - \frac{20}{9}x^3 + \frac{2}{x^3} - \frac{2}{3x^4} \\[/tex].  To find the first derivative, apply the product rule to the given function. Then, differentiate the first derivative to obtain the second derivative. Simplify each step carefully.

To find the first derivative of the given function [tex]y = \left( x^2 - \frac{7}{63}x \right) \left( x^4 + \frac{1}{x^3} \right)[/tex], we'll use the product rule, which states that if [tex]y = u(x) \cdot v(x)[/tex], then [tex]y' = u' \cdot v + u \cdot v'[/tex].

First, define u(x) and v(x) as following:

[tex]u(x) = x^2 - \frac{7}{63}x = x^2 - \frac{1}{9}x[/tex][tex]v(x) = x^4 + \frac{1}{x^3}[/tex]

Compute u'(x):

[tex]u'(x) = 2x - \frac{1}{9}[/tex]

Compute v'(x):

[tex]v'(x) = 4x^3 + (-3)x^{-4} = 4x^3 - \frac{3}{x^4}[/tex]

Apply the product rule: [tex]y' = u' \cdot v + u \cdot v'[/tex]

Thus,

 [tex]y' = \left(2x - \frac{1}{9}\right)\left( x^4 + \frac{1}{x^3} \right) + \left( x^2 - \frac{1}{9}x \right) \left( 4x^3 - \frac{3}{x^4} \right)[/tex]

Simplify this expression step-by-step to find the first derivative.

 [tex]y' = \left(2x - \frac{1}{9}\right)\left( x^4 + \frac{1}{x^3} \right) + \left( x^2 - \frac{1}{9}x \right) \left( 4x^3 - \frac{3}{x^4} \right)[/tex][tex]y'[/tex] [tex]&= \left(2x \cdot x^4 + 2x \cdot \frac{1}{x^3} - \frac{1}{9} \cdot x^4 - \frac{1}{9} \cdot \frac{1}{x^3} \right)[/tex][tex]&\quad + \ \left( x^2 \cdot 4x^3 - x^2 \cdot \frac{3}{x^4} - \frac{1}{9}x \cdot 4x^3 + \frac{1}{9}x \cdot \frac{3}{x^4} \right)[/tex][tex]y'[/tex] [tex]&= 2x^5 + \frac{2}{x^2} - \frac{1}{9}x^4 - \frac{1}{9x^3} \\[/tex] [tex]&\quad + \ 4x^5 - \frac{3}{x^2} - \frac{4}{9}x^4 + \frac{1}{3x^3}[/tex][tex]y'[/tex] [tex]&= 6x^5 - \frac{1}{x^2} - \frac{5}{9}x^4 + \frac{2}{9x^3}[/tex][tex]y'[/tex] [tex]&= 6x^5 - \frac{5}{9}x^4 - \frac{1}{x^2} + \frac{2}{9x^3}[/tex]

To find the second derivative, differentiate the first derivative, carefully differentiating each term:

[tex]y'' &= \frac{d}{dx}\left( 6x^5 \right) - \frac{d}{dx}\left( \frac{5}{9}x^4 \right) - \frac{d}{dx}\left( \frac{1}{x^2} \right) + \frac{d}{dx}\left( \frac{2}{9x^3} \right) \\[/tex][tex]y''[/tex] [tex]&= 30x^4 - \frac{5}{9} \cdot 4x^3 - \left( -2x^{-3} \right) + \left( -\frac{2}{9} \cdot 3x^{-4} \right) \\[/tex][tex]y''[/tex] [tex]&= 30x^4 - \frac{20}{9}x^3 + \frac{2}{x^3} - \frac{2}{3x^4} \\[/tex]

So, for the function [tex]y = \left( x^2 - \frac{7}{63}x \right) \left( x^4 + \frac{1}{x^3} \right)[/tex], we have:

First derivative [tex](y')[/tex] [tex]&= 6x^5 - \frac{5}{9}x^4 - \frac{1}{x^2} + \frac{2}{9x^3}[/tex]Second derivative [tex](y'')[/tex] [tex]&= 30x^4 - \frac{20}{9}x^3 + \frac{2}{x^3} - \frac{2}{3x^4} \\[/tex]

Ordering Least to greatest 2 9/11, 4/5, 2.91, 0.9

Answers

4/5, 0.9, 2 9/11, 2.91

Simplify 6 - 23 + (-9 + 5) · 2
A. -10
B. -12
C. 6
D. -8

I've been told the answer is A. -10, but I need to know how to get that answer.
Thanks.

Answers

at least u tried to help but the answer is -10  bro


John throws a rock straight down with speed 12 m/s from the top of a tower. the rock hits the ground after 2.37 s. what is the height of the tower? (air resistance is negligible)

Answers

12*2.37= 28.44

The tower is 28.44 meters tall.






What is 164% of 25? I have no idea and im in the middle of a test XDDD

Answers

The answer is 41. Hope this helps!

HELP! solve for p p+10/p-7=8/9

Answers

[tex] \frac{P+10}{P-7} [/tex] =  [tex] \frac{8}{9}[/tex] 

use the cross method solve the equation.

9P+90=8P-56
9P-8P=-56-90
P=-146

Hope this helps.

You swim 121 out of 1,000 meters. How can you write this as a decimal

Answers

121/1000 (divide)
0.121 

The number in decimal form will be 0.121 meters.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that you swim 121 out of 1,000 meters. The decimal for the number will be written by dividing the number by 1000.

Decinmal form = 121 / 1000

Decimal form = 0.121 meters

Therefore, the decimal form of the number will be 0.121 meters.

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