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
Learn more about force and energy here:
https://brainly.com/question/6366228
https://brainly.com/question/528149
will give brainlyist
What is the quotient of 1 and 7 over 8 ÷ 3 over 8?
Answer:
5
Step-by-step explanation:
[tex]1\frac{7}{8}\div\frac{3}{8}[/tex]
[tex]=\frac{15}{8}\div \frac{3}{8}[/tex]
[tex]=\frac{15\times \:8}{8\times \:3}[/tex]
[tex]=\frac{15}{3}[/tex]
[tex]=5[/tex]
The quotient is 5.
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\textsf{Given that:}\\[/tex]
[tex] \sf1 \dfrac{7}{8} \div \dfrac{3}{8} \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{7 \times 8}{8} \div \frac{3}{8} \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{15}{8} \div \dfrac{3}{8} \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} }{ \dfrac{3}{8} } \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{ \dfrac{ \cancel \green3}{ \cancel \red8} \times \frac{ \cancel \red8}{ \cancel \green3} } \\ [/tex]
[tex]\sf \longmapsto \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{1} \\ [/tex]
[tex]\sf \longmapsto \: \dfrac{15}{ \cancel \red8} \times \dfrac{ \cancel \red8}{3} \\ [/tex]
[tex]\sf \longmapsto \: \dfrac{15}{3} \\ [/tex]
[tex]\sf\longmapsto \:\dfrac{15÷3}{3÷3}\\[/tex]
[tex]\sf\longmapsto \:\dfrac{5}{1}\\[/tex]
[tex]\sf\longmapsto \:\boxed{5} \: Answer.\\[/tex]
also read similar questions: Multiply. Write your answer as a fraction in simplest form...
https://brainly.com/question/25825525?referrer
HELP ASPAP!! ANSWER CORRECLTY
Answer:
17
Step-by-step explanation:
Answer:
plot 17
Step-by-step explanation:
12-(-5) = 12+5 = 17
If the average volume flow of blood through the aorta is 8.5 × 10-5 m 3/s and the cross-sectional area of the aorta is 3.0 × 10 -4 m2, what is the average speed of blood in the aorta?
Help me:)
The average speed of blood in the aorta is 0.2833 m/s
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
From the question, to calculate the average speed:
Average speed = Volume rate / cross sectional area
Average speed = 8.5 * 10⁻⁵ / (3 * 10⁻⁴) = 0.2833 m/s
The average speed of blood in the aorta is 0.2833 m/s
Find out more on average speed at: https://brainly.com/question/680492
Which equation represents the partial sum of the geometric series? mc006-1. Jpg 125 25 5 1 25 5 1 one-fifth 1 one-fifth StartFraction 1 Over 25 EndFraction StartFraction 1 Over 125 EndFraction StartFraction 1 Over 125 EndFraction one-fifth 5 125.
The equation that represents the partial sum of the geometric series is 125, 25, 5, 1
Given the partial sum of a geometric sequence expressed as:
[tex]\sum\left { n=4 \atop {n=1}} \right. 125(\frac{1}{5} )^{n-1}[/tex]
If n = 1, the
a(1) = [tex]125(\frac{1}{5} )^{1-1}\\[/tex]
a(1) = [tex]125(\frac{1}{5} )^{0}\\[/tex]
a(1) = 125
If n = 2
a(2) = [tex]125(\frac{1}{5} )^{2-1}\\[/tex]
a(2) = [tex]125(\frac{1}{5} )^{1}\\[/tex]
a(2) = 25
If n = 3
a(3)= [tex]125(\frac{1}{5} )^{3-1}\\[/tex]
a(3) = [tex]125(\frac{1}{5} )^{2}\\[/tex]
a(3) = 5
If n = 4
a(4)= [tex]125(\frac{1}{5} )^{4-1}\\[/tex]
a(4) = [tex]125(\frac{1}{5} )^{3}\\[/tex]
a(4) = 1
Hence the equation that represents the partial sum of the geometric series is 125, 25, 5, 1
Learn more on geometric sequence here: https://brainly.com/question/24643676
Answer:
a
Step-by-step explanation:
Can someone please take the time out of they’re day and help me with this
Answer:
30 in
Step-by-step explanation:
18^2 + 24^2 = x^2
324 + 576 = x^2
900 = x^2
30 = x
Answer:
30 in
Step-by-step explanation:
With maths problems, first thing to do is to identify clearly the information that you have (from the question) and what you want to find;
Here, we have a right-angle triangle and given 2 of the sides, we are asked to find the other;
Considering this, if you've learnt it well and done plenty of practice, then you should realise pythagoras theorem can be applied to get the unknown side;
The square of the two given sides added will give the square of the unknown side:
(24)² + (18)² = x²
576 + 324 = x²
x² = 900
x = sqrt(900)
x = 30
Given that f(x) = 10 - 3x and g(x) = x-3/2 find the value of fg(4)
Answer:
-1
Step-by-step explanation:
(fg)(x) is the product of f(x) and g(x).
We can find (fg)(4) by first finding f(4) and g(4) and then multiplying the results together:
f(x) = 10 - 3x, so f(4) = 10 - 3(4) = -2, and
g(x) = x - 3/2, so g(4) = 4 - 3/2 = 1/2
Then (fg)(4) = (-2)(1/2) = -1
find the volume of this figure:
How do you write an equation of a line given y-intercept -8 and slope 3/4
Answer:
[tex]y = \frac{3}{4} x-8[/tex]
Step-by-step explanation:
You can us the equation y = m x + c to answer this question.
In ,
y = m x + c
m = slope
c = y - intercept
So, they have already given in the question that,
m = 3/4
c = (-8)
Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.
y = m x + c
y = 3/4x - 8
Hope this helps you.
Let me know if you have any other questions :-)
I will mark Brainliest if you help!!
Remainder of 52,259 divided by 215
Answer: 243, Reminder is 14
Step-by-step explanation:
52,259 / 215 = 243.065116
215 x 243 = 52,245
52,259 - 52,245 = 14
So the reminder is 14
What expression is equal to 4/8
Answer:
The value of 12/24 is equals to 0.5. Hence, this fraction is equivalent to 4/8.
Step-by-step explanation:
im not sure tho. hope u get it right.
the weight of a chimpanzee ,y in pounds x months after birth is modeled by the equation y=1.5x+8. Which represents the equation when solved for x?
Answer:
Step-by-step explanation:
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 56 and 64? Round your
answer to the nearest tenth of a percent.
Answer:
62.5%
Step-by-step explanation:
(56 - 62) / 4 = -1.5 z score = 0.0668
(64 - 62) / 4 = 0.5 z score = 0.6915
0.6915 - 0.0668 = 0.6247
Rounded this becomes 62.5%
The probability for the data value in between 56 and 64 is 62.5%.
What is z-score?
The z-score of a value is the count of the numbers of standard deviations between the value and the mean of set.
How to calculate z-score?z-score can be calculated by the formula
z = (x - μ)/σ
where,
μ is the mean
σ is the standard deviation
x is the data point
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
According to the given question
Mean of a normal distribution, μ = 62
standard deviation of a normal distribution, σ = 4
Now for the data value 56, the z-score will be
z = (56 - 62) / 4 = -1.5 z score = 0.0668
So, the area under normal distribution curve z = -1.5
P(z = -1.5) = 0.0668
Similarly,
For the data value 64, the z-score will be
z-score = (64 - 62) / 4 = 0.5
The area under normal distribution curve z = 0.5 is given by
P( z = 0.5) = 0.69
Therefore, the probability for the data value in between 56 and 64 is given by
0.6915 - 0.0668 = 0.6247 = 62.5%
Hence, the probability for the data value in between 56 and 64 is 62.5%.
Learn more about the z-score and probability here:
https://brainly.com/question/25638875
#SPJ2
Which congruence criteria is met in the following scenario?
HL
ASA
SSS
AAS
SAS
please help me asapppp
ty :)
Answer:
C. 3
y = 3x - 4
Step-by-step explanation:
y = 3x - 2
Slope stays 3 because they are parallel.
y - 5 = 3(x - 3)
y - 5 = 3x - 9
y - 5 + 5 = 3x - 9 + 5
y = 3x - 4
Step-by-step explanation:
y= 3x-4
hopefully that is helpful
Simplify.
(–28xy) ÷ (–4)
−7xy
17ab
−17ab
7xy
If any doubt leave a comment
Multiply (x^2+3x+5)(2x^2-2x+1
Answer:
2x^4+4x^3+5x^2-7x+5
Step-by-step explanation:
29) What is the slope of the line x = -5?
Answer:
The slope is undefined.
Step-by-step explanation:
x=-5 is not a function, therefore, the slope would be undefined.
Rupert bought a watch for 7 dollars and 58 cents and sold it for 37 dollars and 90 cents, what is the ratio of selling price to cost price in its simplest form ?
Answer:
5 : 1
Step-by-step explanation:
Selling price = 37.90
Cost price = 7.58
Selling price : cost price = 37.90 : 7.58
When simplifying, we can first check if one number is a factor of the other:
7.58 * 3 = 22.74
7.58 * 4 = 30.32
7.58 * 5 = 37.9
Perfect. Therefore, selling price = 5 * cost price and selling price: cost price = 5:1
Scientists say we should sleep 3/8 of a day.How about many hours is this
Consider the figure below. Write the equation of the line of reflection.
_____ = ______
Answer:
y = 0
Step-by-step explanation:
the forces opposing the expansion of the universe are due to
The forces opposing the expansion of the universe are due to the gravitation interaction.
Hope it helped.
hey i need 6 /14 but i only have 2 1/3 please help
18/42 and 2 and 14/42
Step-by-step explanation u need the 1/3 and ok im sry but i tried figuring it out but i d k
Please help me with this math problem!! I will give brainliest!! NO LINKS PLEASE!! :)
Answer:
(-4, 0)
Step-by-step explanation:
The midpoint M of segment AB is found by averaging the coordinates of the end points:
M = (A +B)/2
Solving this for point B, we find ...
2M = A +B
2M -A = B
Then the other end point is ...
2(2, -4) -(8, -8) = (4 -8, -8 -(-8)) = (-4, 0)
The other end point is (-4, 0).
Which expression finds the measure of an angle that is coterminal with a 45° angle? 45° 90° 45° 180° 45° 270° 45° 360°.
The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.
We have to determineWhich expression finds the measure of an angle that is coterminal with a 45° angle?
According to the question,Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.
The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.
A coterminal with 45° is 45°+k°360° with k as an integer.Then,
The coterminal angle with 45°,
When k = 0
Then,
[tex]\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree[/tex]
When k = 1
Then,
[tex]\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree[/tex]
When k = -1
Then,
[tex]\rm = 45+(-1)360\\\\= 45-360\\\\= -315 \ degree[/tex]
Hence, The measure of an angle that is coterminal with a 45A°+360A°.
For more details about the Coterminal angle refer to the link given below.
https://brainly.com/question/12378421
root 2×root5
[tex] \sqrt{2 \times \sqrt{5 = } } [/tex]how much???
[tex] \sqrt[4]{20 {x}^{2} } [/tex]
Step-by-step explanation:[tex] \sqrt{2x \sqrt{5} } \\ \\ \sqrt{2 \sqrt{5x} } \\ \\ \sqrt{ \sqrt{(2 {x}^{2} )} \sqrt{5} } \\ \\ \sqrt{ \sqrt{4 {x}^{2} } \times 5} \\ \\ \sqrt{ \sqrt{20 {x}^{2} } } \\ \\ \sqrt[4]{20 {x}^{2} } [/tex]
What two numbers multiplied together equal 8 but when added together equal -6
Answer:
i believe its -4 and -2
Step-by-step explanation:
hope tha work
what is 13 divided by 4732
Answer:
Step-by-step explanation:
the answer is 13
Please help question in pic
Answer:
O = (1,-1)
N = (1,-2)
M = (3,-2)
L = (3,-1)
Step-by-step explanation:
If y is directly proportional to x and y is 12 when x = 10, what is y when x is 25?
Y = 25
Y = 30
Y = 20 5/6
Y = 26 1/5
None of the above
Answer:
Y= 30
Step-by-step explanation:
y=kx
when y=12, x=10
12=10k
k= 12/10
k = 6/5
when x= 25
y= 6/5 × 25
y= 30
Square of the difference of two terms
Answer:
123-23=100
100^2=100*100=10^4=10000