The magnitude of the impulse needed to bring the brick to rest is given by the initial momentum of the brick.
The correct responses are;
(a) 44.8 kg·m/s(b) 44.8 N·s(c) 6,278.4 N(d) 2,092.8 NReasons:
The velocity of the brick as it reaches the ground is given by the formula;
v² = 2·g·h
v = √(2·g·h)
Where;
h = The height of the brick, h = 1.6 m
g = The acceleration due to gravity ≈ 9.81 m/s²
Therefore;
v ≈ √(2 × 9.81 m/s² × 1.6 m) ≈ 5.6 m/s
(a) Momentum = Mass × Velocity
The momentum of the brick = 5.6 m/s × 8 kg = 44.8 kg·m/s
(b) Impulse = Force × Δt = Mass × Δv
Mass × Δv = 8 kg × (5.6 m/s - 0) = 44.8 kg·m/s = 44.8 N·s
Therefore, the impulse = 44.8 N·s
(c) The distance over which the carpet stops the brick = 2.0 cm = 0.02 m
Initial energy in the brick, E = m·g·h
Which gives;
E = 8 kg × 9.81 m/s² × 1.6 m = 125.568 J
Energy = Force × Distance
[tex]\displaystyle Force \ carpet \ exerts \ on \ brick, \ F = \frac{125.568 \, J}{0.02 \, m} = \mathbf{ 6,278.4 \, N}[/tex]
The average force the carpet exerts, F = 6,278.4 N
(d) If the brick falls on a foam which is 6.0 cm (thickness), we have;
Distance = 6.0 cm = 0.06 m
Therefore;
[tex]\displaystyle Force, \, F = \frac{125.568 \, J}{0.06 \, m} = \mathbf{2,092.8 \, N}[/tex]
The constant force needed to bring the brick to rest is, F ≈ 2,092.8 N
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Adam has $87.14. He has 10 bills and 19 coins how ? Explain how you solved it .
Answer: $42
Step-by-step explanation:
10. Given m and b, write the equation of the line:
m=-4; b=2
Answer:
y= -4x + 2
Step-by-step explanation:
Y= mx + b is used to find the equation of the line
m=-4 a d b= 2
So, you put them into the equation.
Which correlation coefficient best matches the graph?
Answer:
The correlation coefficient r measures the direction and strength of a linear relationship. Calculating r is pretty complex, so we usually rely on technology for the computations. We focus on understanding what r says about a scatterplot.❤
Describe the possible length of the third side of the triangle given that the links of the other two sides of 5 inches and 12 inches
___in.
Answer:
60
Step-by-step explanation:
your welcome
What part of 28 is 17?
17 is 60.7% percentage of the number 28.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We have to find what is 17 in 28.
To find this we have to multiply x with 100 and divide it by hundred which is equal to seventeen
x/100×28=17
0.28x=17
Zero point two eight times of x equal to seventeen
Divide both sides by 0.28
x=17/0.28
We get sixty point seven one percentage
x=60.71%
Hence,17 is 60.7% percentage of the number 28.
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Tyler's brother Works
Tyler's brother earns $12 per hour. The store offers him a raise-a 5% increase per hour.
After the raise, how much will Tyler's brother make per hour?
Answer: $12.60 per hour
Step-by-step explanation:
5% of 12 is 0.60
12 + 0.60 = 12.60
Hope you have a great day
Answer:
$12.60 per hour
Step-by-step explanation:
5% of 12 is 0.60
and 12 + 0.60 = 12.60
Hope it makes sense
35. What is the 40th term of the arithmetic sequence
-17,-47, -77, -107...
Answer:
40th term = -1187
Select the correct answer.
Which expression is equivalent to the difference shown?
5/m - m+8/ m^2-4m
The expression 5/m - (m+8)/(m^2-4m) is equivalent to 4(m-7)/m(m-4) option (C) is correct.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have a expression:
[tex]=\rm \frac{5}{m} - \frac{m+8}{m^2-4m}[/tex]
To simplified the above expression take the LCM [tex]\rm m^2-4m[/tex]
[tex]=\rm \frac{5(m-4)-(m+8)}{m^2-4m}[/tex]
[tex]=\rm \frac{5m-20-m-8}{m^2-4m}[/tex]
[tex]=\rm \frac{4m-28}{m^2-4m}[/tex]
[tex]=\rm \frac{4(m-7)}{m(m-4)}[/tex]
Thus, the expression 5/m - (m+8)/(m^2-4m) is equivalent to 4(m-7)/m(m-4) option (C) is correct.
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Answer:
see photo
Step-by-step explanation:
Plato/Edmentum
PLEASE HELP QUESTION IN PICTURE
This scatter plot shows the number of baskets made and the time in minutes that has passed.
Based on the information in the scatter plot, what is the best prediction for the number of baskets made in 16 minutes?
4 baskets
7 baskets
14 baskets
20 baskets
Scatter plots are used to relate variables using scattered dots.
The best prediction for the number of baskets made in 16 minutes is (c) 14 baskets
From the graph, we can see that the number of baskets made in 14 minutes is 12.
Also, from the graph; as the minutes increases, the number of baskets either remain the same or increases.
This means that, for 16 minutes, the number of baskets would either be 12 (same as 14 minutes) or greater.
The closest to 12 baskets in the option is 14.
Hence, the best prediction for the number of baskets made in 16 minutes is (c) 14 baskets
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Identify the diameter of the circle
Solve for the variable PLEASE HELP
Answer a+ 4 - a-7 a-7 _5 = 37_6
Step-by-step explanation:
Answer:
a=-7
Step-by-step explanation:
Find least common multiplier
LCM=105
Multiply to function
a+4/3 *105- a/7= 105* a+7/5
Simplify
35(a+4)-15x=21(a+7)
Expand
20a+140=21a+147
Subtract 140 from both sides
20a=21a+7
Subtract 21a from both sides
-a=7
Divide both sides by -1
-a/-1=7/-1
a=-7
To attend a class field trip, each student will have to pay 3$ for a theater ticket and $2.50 for transportation. If there are 200nstudents in the class, how much money will be collected for the field trip?
Answer:
1100
Step-by-step explanation:
because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100
Answer:
1,100
Step-by-step explanation:
Identify the solution set of the inequality, using the given replacement set.
x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}
{–10, –4.3, –4}
1.{–10, –4.3, –4}
2.{–4, –3.9, 2}
3.{–10, –4.3}
4.{–3.9, 2}
Step-by-step explanation:
es el número 4[-3.9,2] esta es la respuesta
f(x) = -x - 14
Find x if f(x) = -2
Answer:
x = -12
Step-by-step explanation:
First, you want to plug in f(x)'s value into the equation.
-2 = -x-14
Then solve for x:
x=-14+2
x=-12
I need a answer as soon as possible
Answer:
67
Step-by-step explanation:
Because 180-113 is 67.
Answer:
67°
Step-by-step explanation:
A line is 180° so subtract the 113°
180 - 113 = 67°
hope that helps and have a great day :D
Please answer this question Step by Step method.
If it is correct you will get a thank you and 5 stars from me.
Answer:
see explanation
Step-by-step explanation:
The perimeter P is the sum of the 4 sides of the rectangle.
The opposite sides of the rectangle are congruent , then
P = 2x + 1 + 2x + 1 + x + x ← collect like terms
P = 6x + 2
Ethan was simplifying 3xl(-2xl + 1)2 State and correct the error below
3xl(-2x1 + 1)
(-6x²/²+3x1²
(-6x?[2 + 3x1)(-6x12 + 3xl)
-36X414 - 18x13 – 18x13 + 9x²12
-36X*1* 36x12 + 9x212
-36x* (1) – 36x®(-1) + 9x?(-1)
36x4 + 36x°– 9x2
Is -9 a real or imaginary number?
Answer:
-9 is a real number.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Geraldo and Raul are participating in a relay for charity. Geraldo rides his bike 12 miles per hour. Raul rides his bike 10 miles per hour. Together, they travel a total distance of 34 miles.
We know
[tex]\\ \sf\Rrightarrow Speed=Distance/Time[/tex]
[tex]\\ \sf\Rrightarrow Distance=Time\times {Speed}[/tex]
Let hours be x
[tex]\\ \sf\Rrightarrow 12x+10x=34[/tex]
[tex]\\ \sf\Rrightarrow 22x=34[/tex]
[tex]\\ \sf\Rrightarrow x=34/22[/tex]
[tex]\\ \sf\Rrightarrow x=17/11[/tex]
[tex]\\ \sf\Rrightarrow x=1.5h[/tex]
-0.5 (bar over 5) as a fraction simplified
Answer:
5/9
step by step follow up
True or false: (log x)2 = 2logx. Explain your thinking.
please help me with this question
at the first blank there are options either (y-intercept, slope, x-intercept)
second blank (positive, negative, 0, a whole number)
Answer:
y-intercept
zero
Step-by-step explanation:
We can determine the differences between proportional and non-proportional situations or relationships. We all need to know that linear relationships can be represented as tables, words, equations, and graphs. The non-proportional relationship will affect the y-intercept in the graph and it will no longer than zero and the ratios in the table not be proportional.
how to simplify -5 1/4 - (-7 1/2
(hopefully I read this right)
-5 1/4 - (-7 1/2)
-5 1/4 - -7 1/2
-5 1/4 - -7 2/4
-21/4 - -30/4
-21/4 - -30/4 = 9/4 = 2 1/4
Hopefully I am correct!
how many students are in the year group?
Answer:
372
Step-by-step explanation:
How many students attended school in recent years? In fall 2020, about 48.1 million students attended public schools in kindergarten to grade 12, ...
Missing: group | Must include: group
Help me please ******
Answer:
it is
Step-by-step explanation:
The parallel horizontal sides are the same length, so the figure is a parallelogram.
PLEASE HELP!! With explanation/solution please!!
Step-by-step explanation:
Just sum the number of cows and buffaloes:
2p^2 - p + 4 + p^2 + p + 1 = 3p^2 +5 animals.
Answer:
Step-by-step explanation:
here is an explanation:
2p²-p+4+p²+p+1=3p²+5
You can add 2p² and p² because they are both squared (²). -p+p=0, because the first p is negative (-). Lastly, you can add 4+1=5. Hope this helped! Lmkp if you are still confused :) <3
Help me plsss pls psl
Answer: A, B, D
it can’t be “C” because that would be equal to 40%
EASY 25 POINTS
Please help me with this math problem it is due tomorrow.
Answer:
D
Step-by-step explanation:
question 19 of the attachment below
Answer:
The proof of area is [tex]\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex] is done
Step-by-step explanation:
Area of regular hexagon[tex]=6\times[/tex] Area of equilateral triangle
Area of regular hexagon ABCDEF with side [tex]x[/tex]
[tex]=6\times \frac{\sqrt{3} }{4} x^{2} \\\\= \frac{3\sqrt{3} }{2} x^{2}[/tex]
Area of regular hexagon FGHIJK with side [tex]px[/tex]
[tex]= \frac{3\sqrt{3} }{2} (px)^{2}\\\\=\frac{3\sqrt{3} }{2} p^{2}x^{2}[/tex]
Area of shaded region
[tex]=\frac{3\sqrt{3} }{2} p^{2}x^{2}-\frac{3\sqrt{3} }{2} x^{2}\\\\=\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex]