A leaky 10-kg bucket is lifted from the ground to a height of 12 m at a constant speed with a rope that weighs 0.5 kg/m. Initially the bucket contains 36 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 12-m level. Find the work done. (Use 9.8 m/s2 for g.) Show how to approximate the required work by a Riemann sum. (Let x be the height in meters above the ground. Enter xi* as xi.)
Answers
Answer:
The work done is 3645.6 J or 3.6 kJ
Step-by-step explanation:
M1 = (0.5 kg/m)(12 - x m) = (6 - 0.5x) kg
At the height of x meters (0<=x<=12), the mass of the rope is,
M2 = (36kg/12m)(12 - x m) = (36 - 3x m) kg
At the height of x meters (0<=x<=12), the mass of the water is,
M3 = 10 kg
The mass of the bucket is 10 kg
Then, Total mass M is,
M = M1 + M2 + M3 = (6 - 0.5x) + (36 - 3x) + 10 = (52 - 3.5x) kg
From Force F = mass m * acceleration due to gravity g
Force = mass x gravity
F = 9.8(52 - 3.5x) Newtons
To get the work done W,
Follow the attached file,
The work done is 3645.6 J or 3.6 kJ
Related Questions
help me please people
Answers
(-1, -10)
Equation Form:
X = -1, y = -10
Which of the following equations represents a line that is perpendicular to the line represented by x + 2y = 6 and passes through the point (3 , –4)?
Answers
Answer:
y=2x-10
Step-by-step explanation:
First change to equation into slope intercept form
2y=-x+6
y=-1/2x+3
slope=2 (beacause it is perpendicular)
y--4=2(x-3)
y+4=2x-6
y=2x-10
Can someone help me please answer my question.
Answers
A.6 inches
B.8 inches
C.10 inches
D.12 inches
Answers
Step-by-step explanation:
volume of a rectangular prism is V=LWH
L is length and that is 20
W is width and that is 20
H is height and that is 6
The reason that L and W are 20 is because you would multiply those to get the base, and the base is already given, 400.
Since you know the volume is 2,400, a quick trick is that you divide 2,400/400. That equals 6.
So 20 x 20 x 6 = 2400
(8x^2 – 7x – 2) – (6x^2 – x + 3)
Answers
Answer: = -2x-5
Step-by-step explanation:
Y=1/3x+14 in point slope form
Answers
Answer:
ok so.. whats the question?
Step-by-step explanation:
Answer:
y = 1/3x + 14
Step-by-step explanation:
The REASON THAT IS AN SLOPE INTERCEPT FORM IS BECAUSE IT IS ALREADY IN SLOPE INTERCEPT FORM.
2. Find the volume of the sphere.
Answers
Answer:
V= 113.1
Step-by-step explanation:
V=4/3πr^3=4/3·π·3^3≈ 113.09734
Gary has 30 blueberry muffins which is 30%Of all blueberry muffins in her basket how many muffins are in her basket
Answers
Answer:
100
Step-by-step explanation:
If 30% of all of her muffins are blueberry muffins, that means that 30% of 100% are blueberry. We want to find how many total muffins there are in her basket. Using a ratio:
30 muffins 30%
----------------- = --------
x muffins 100%
Cross multiply:
30 (100) = 30 (x)
3000 = 30x
3000/30 = 30x/30
100 = x
x muffins = 100 muffins
So there are a total of 100 muffins in Gary's basket.
What is the equation of 35?
Answers
35 - X = 5
Simplifying
35 + -1X = 5
Solving
35 + -1X = 5
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-35' to each side of the equation.
35 + -35 + -1X = 5 + -35
Combine like terms: 35 + -35 = 0
0 + -1X = 5 + -35
-1X = 5 + -35
Combine like terms: 5 + -35 = -30
-1X = -30
Divide each side by '-1'.
X = 30
Simplifying
X = 30
Answer:
attach a photo
Step-by-step explanation:
i need more detail and then ill answer because there cant be a equation without a problem
What is the answer plz help
Answers
Answer:
same khan is the worst
Step-by-step explanation:
Answer:
the answer is b.) (4a + 12) + (6x + 9) = 71
help me pls the possible answers are 50⁰ 60⁰ 100⁰ and 240⁰
Answers
9514 1404 393
Answer:
(b) 60°
Step-by-step explanation:
The sum of angles in a pentagon is 540°, so you have ...
90° +90° +150° +x +150° = 540°
x = 540° -480°
x = 60°
what are the 3 points
Answers
Answer:
(0,-2) (3,-4) (6,-6)
Step-by-step explanation:
I think you start at (0,-2) then go over 3 to the right and down 2 since it's negative each time
To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?
First equation: 6x-5y=17
Second equation: 7x+3y=11
The first equation should be multiplied by 3 and the second equation by -5.
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 7 and the second equation by -6.
The first equation should be multiplied by 7 and the second equation by 6.
Answers
Answer:
C. The first equation should be multiplied by 7 and the second equation by -6.
Step-by-step explanation:
have a great day peeps :)
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The correct option is C.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
In the two of the given equation, to eliminate x we need to make the coefficients of x in both the terms equal, therefore, if we take the LCM of the two terms then it will be 42.
Thus, to make the coefficient of x equal to 42, we need to multiply the first equation should be multiplied by 7 and the second equation by -6.
Learn more about Multiplication here:
https://brainly.com/question/1405900
#SPJ6
If a customer left a $5 tip for a bill that had a subtotal of $31.25 what percent tip did the customer leave?
Answers
Answer:
16%
Step-by-step explanation:
= (5/31.25)*100=16%
Solve the quadratic x²-8x+15=0.
Answers
Answer:
x = 3 or x = 5
Step-by-step explanation:
x2-8x+15 = 0
(x-3)(x-5) = 0
To investigate whether or not sending text messages while driving impacts driving ability, we had 100 participants (50 men and 50 women) drive an obstacle course under one of the following conditions: 1) no texting while driving, 2) sending five text messages while driving, or 3) sending 10 text messages while driving. We measured the accuracy with which the subjects drove the obstacle course from a scale of 1 to 10 (1 = poor and 10 = excellent).We are testing the effect of sending text messages at three different _____.
a. treatments
b. levels
c. factors
d. None of the above
Answers
Answer:
A - treatments
Step-by-step explanation:
We are told the 100 participants were required to drive under 1 of the 3 conditions below which are;
- no texting while driving.
- sending five text messages while driving
- sending 10 text messages while driving
In experimental a research, these 3 conditions are referred to as treatments because they are used to derive an experimental result.
You use a 40% off coupon followed by a 30% off coupon. is that
this is the same as a 70% off coupon. Explain
Answers
Answer:
Yes since 40+30=70 so it would be the same
Step-by-step explanation:
Help me quick taking a test need it down before 12
Answers
I’m just filling the 20 character thing now lol
Which of the following statements is true?
4 x 23 is less than 23, since 23 is less than 1.
4 x 34 is greater than 34, since 4 is greater than 1.
4 x 44 is equal to 1, since 44 is equal to 1.
4 x 65 is less than 4, since 65is less than 1.
Answers
Answer:
4 x 34 is greater than 34, since 4 is greater than 1.
Answer:
4 x 34 is greater than 34, since 4 is greater than 1.
Step-by-step explanation:
Evaluate 3(c + d) if c = 8 and d = -5
Answers
c = 8
d = -5
All you have to do is replace the variables(letters) with the numbers!
3(8 + (-5))
Do parentheses first! And remember that adding a negative is the same as subtracting :)
3(3) = 9
What is the area of the figure?
96 ft 2
84 ft 2
40ft 2
can’t be determined
Answers
Answer:
its been awhile since I've done this bit i think its B
How are 4.730 and 4.73 eqivalent
Answers
Lyn either travels by bus or walks
when she visits the shops.
The probability that she catches
the bus To the shops is 0.2
The probability that she catches
the bus FROM the shops is 0.6
0.2
Walk
a) Complete the tree diagram.
b) Show that the probability that Lyn
walks at least one way is 0.88.
Answers
I’m forced to write an explanation, sorry for the useless text
The probability tree has been drawn below and the probability that Lyn
walks at least one way is 0.88 is when she reaches the shop by bus and from the bus, she walks.
What is probability?The probability of an event occurring is defined by probability.
Do not take underestimate probability it has several uses in daily life whether forecasts like that.
As per the given probability tree,
(a)
The probability in branches adds to 1 thus,
0.2 + probability that she walks to the shop = 1
Probability that she walks to the shop = 1 - 0.2 = 0.8
The probability in the same branches multiplies as,
The probability that she took a bus to the shop x from the bus she again took the bus.
Similarly, the tree diagram has been drawn below.
(b)
The probability is 0.88 lies in that Lyn walks at least one way 0.88 is when she reaches the shop by bus and from the bus, she walks.
Hence "walks at least one way is 0.88 is when she reaches the shop by bus and from the bus, she walks".
For more information about the probability,
brainly.com/question/11234923
#SPJ2
2. Simplify: 12(3y + x)
Answers
Answer:
36y+12x
Step-by-step explanation:
Answer:
36y + 12x
Step-by-step explanation:
Encuentra el saldo de la cuenta crédito y débito. Debe 100.000 450.000 500.000 650.000 haber 250.000 300.000 50.000 20.000
Answers
Answer:
can u translate that to English... i have no idea what you just said
Step-by-step explanation:
LOL
Randy bought 3 identical shirts and paid a sales tax of $2.84. The total cost was $50.18. What was the cost of each shirt?
Answers
Answer:
$15.78
Step-by-step explanation:
I) Remove tax:
$50.18 - $2.84 = $47.34
II) Construct an equation to find the cost of each shirt:
47.34 = 3s
III) Solve:
Divide each side by 3:
15.78 = s
Each shirt costed $15.78
Answer:
15.78
Step-by-step explanation:
Find the solutions of the quadratic equation 5x2- x+ 6 = 0.
Answers
X= -2/3
8р - 15 = 49
8р=
p =
Answers
Answer:
8
Step-by-step explanation:
Two small pitchers and one large pitcher can hold 14 cups of water. One
large pitcher minus one small pitcher constitutes 5 cups of water. How many
cups of water can each pitcher hold?
Answers
Answer:
ummmm im not sure but i think 7
Step-by-step explanation:
How high off the ground is the hot air balloon?
Answers
Answer: It's 90 feet off the ground.
Solve for y
4y + 5x = 8.
O y = -5x + 8
O 4y = -5x + 8
O y = 5/4x + 2
O y = -5/4x + 2
Answers
Answer:
y= -5/4x+2
Step-by-step explanation:
probably wrong but it definitely is one of the bottom two answers
Answer:
yes is D. bk$kdknxnxnxncncncncncj