8-kg lead brick falls from a height of 1.6 m.
(a) Find its momentum as it reaches the ground.
Ikg-m/s
(b) What Impulse is needed to bring the brick to rest?
N-s
(c) The brick falls onto a carpet, 2.0 cm thick. Assuming the force stopping it is constant, find the average force the carpet exerts on the brick
N
(d) If the brick falls onto a 6,0 cm foam rubber pad, what constant force is needed to bring it to rest?

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]

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Answer:

17

Step-by-step explanation:

Answer:

plot 17

Step-by-step explanation:

12-(-5) = 12+5 = 17

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

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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

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Answer:

a

Step-by-step explanation:

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

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

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 :-)

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

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.

Answer:

Step-by-step explanation:

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%.

The z-score of a value is the count of the numbers of standard deviations between the value and the mean of set.

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

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%.

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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

If any doubt leave a comment

Answer:

2x^4+4x^3+5x^2-7x+5

Step-by-step explanation:

Answer:

The slope is undefined.

Step-by-step explanation:

x=-5 is not a function, therefore, the slope would be undefined.

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

Answer:

y = 0

Step-by-step explanation:

The forces opposing the expansion of the universe are due to the gravitation interaction.

Hope it helped.

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

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).

The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.

Which expression finds the measure of an angle that is coterminal with a 45° angle?

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.

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.

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[tex] \sqrt[4]{20 {x}^{2} } [/tex]

[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]

Answer:

i believe its -4 and -2

Step-by-step explanation:

hope tha work

Answer:

Step-by-step explanation:

the answer is 13

Answer:  

O = (1,-1)

N = (1,-2)

M = (3,-2)

L = (3,-1)

Step-by-step explanation:

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

Answer:

123-23=100

100^2=100*100=10^4=10000