Answer:
1) La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.
2) La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.
3) La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.
Step-by-step explanation:
1) La velocidad final de la bala puede determinarse mediante el Teorema del Trabajo y la Energía, a partir del cual se tiene la siguiente fórmula:
[tex]\frac{1}{2}\cdot m\cdot v_{o}^{2} -F\cdot \Delta s = \frac{1}{2}\cdot m \cdot v_{f}^{2}[/tex] (1)
Where:
[tex]m[/tex] - Masa de la bala, en kilogramos.
[tex]v_{o}, v_{f}[/tex] - Velocidades inicial y final de la bala, en metros por segundo.
[tex]F[/tex] - Resistencia del muro al avance de la bala, en newtons.
[tex]\Delta s[/tex] - Espesor del muro, en metros.
Si sabemos que [tex]m = 0,01\,kg[/tex], [tex]v_{o} = 500\,\frac{m}{s}[/tex], [tex]F = 3000\,N[/tex] and [tex]\Delta s = 0,1\,m[/tex], entonces la velocidad final de la bala es:
[tex]v_{f}^{2}=v_{o}^{2} -\frac{2\cdot F\cdot \Delta s}{m}[/tex]
[tex]v_{f} = \sqrt{v_{o}^{2}-\frac{2\cdot F\cdot \Delta s}{m} }[/tex]
[tex]v_{f} \approx 435,890\,\frac{m}{s}[/tex]
La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.
2) Asumamos que el automóvil acelera a tasa constante, significando que la fuerza neta será constante. Para un sistema cuya fuerza neta sea constante, la potencia experimentada queda descrita por la siguiente ecuación:
[tex]P = m\cdot a(t)\cdot v(t)[/tex] (2)
[tex]a(t) = a[/tex] (3)
[tex]v(t) = v_{o} + a\cdot t[/tex] (4)
Donde:
[tex]P[/tex] - Potencia, en watts.
[tex]m[/tex] - Masa del automóvil, en kilogramos.
[tex]a(t)[/tex] - Aceleración, en metros por segundo al cuadrado.
[tex]v(t)[/tex] - Velocidad, en metros por segundo.
[tex]v_{o}[/tex] - Velocidad inicial del automóvil, en metros por segundo.
Si sabemos que [tex]m = 1000\,kg[/tex], [tex]a = 3,472\,\frac{m}{s}[/tex], [tex]v_{o} = 0\,\frac{m}{s}[/tex] y [tex]t = 8\,s[/tex] entonces la potencia experimentada por el automóvil es:
[tex]P = 96438,272\,W[/tex] ([tex]131,208\,C.V.[/tex])
La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.
3) El cuerpo experimenta un Movimiento de Caída Libre, el cual es un Movimiento Uniformemente Acelerado debido a la gravedad terrestre. La velocidad del cuerpo al llegar al suelo se determina mediante la siguiente fórmula cinemática:
[tex]v_{f} = \sqrt{v_{o}^{2}+2\cdot g\cdot h}[/tex] (5)
Donde:
[tex]v_{o}[/tex] - Velocidad inicial del cuerpo, en metros por segundo.
[tex]v_{f}[/tex] - Velocidad final del cuerpo, en metros por segundo.
[tex]g[/tex] - Aceleración gravitacional, en metros por segundo al cuadrado.
[tex]h[/tex] - Altura recorrida por el cuerpo, en metros.
Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]g = 9,807\,\frac{m}{s^{2}}[/tex] y [tex]h = 10\,m[/tex], entonces la velocidad al llegar al suelo es:
[tex]v_{f} \approx 14,005\,\frac{m}{s}[/tex]
La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.
Find the slope of the line graphed
Answer:
I believe it is 2
A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container.
The question is incomplete. The complete question is :
A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 80-kilogram crates that can be loaded onto the shipping container?
Solution :
Given data :
Weight of the crate = 40 kg
Greatest weight that the container can load = 23000 kg
Weight of the other shipments on the container = 7800 kg
So the greatest number of 40 kg crates = c
Therefore, the weight of the other shipment + weight of crate x number of crates ≤ greatest weight of the container
7800 + (40 x c) ≤ 23000
7800 + 40c ≤ 23000
40c ≤ 23000 - 7800
40c ≤ 15200
c ≤ 380
Hence, the maximum number of 40 kg crate is 380.
The Pythagorean Theorem states that, in a right triangle, the square of the length of the hypotenuse equals the
sum of the squares of the lengths of the legs. Which of these models support the validation of this theorem?
57.4g of sugar is needed to make 7 cakes. How much sugar is needed for 9 cakes?
Answer:
73.8 g
Step-by-step explanation:
57.4/7 = 8.2 per cake
8.2 x 9 = 73.8 g
Answer:
I'm pretty sure the answer would be 73.8g
Step-by-step explanation:
2. Find the value of x to the nearest degree.
A) 68
B) 22
C) 24
D) 66
Answer:
it would be 66 I hope this helps.
PLEASE I ACTUALLY NEED HELP ;(
Answer:
[tex]\sqrt{18x^4y}[/tex]Step-by-step explanation:
3x²[tex]\sqrt{2y}[/tex] = [tex]\sqrt{(3x^2)^22y}[/tex] =[tex]\sqrt{18x^4y}[/tex]Answer:
√{18x⁴y}=√?
?=18x⁴y is your answer
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IF YOU SEND ONE MORE LINK AGAIN I WILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
What is your question
Step-by-step explanation:
I do not see a question
Answer:
where is the question at?
Step-by-step explanation: I don'tsee it
a silo is a building shaped like a cylinder used to store grain the diameter of a particular silo is 6.5 meters and the height of the silo is 12 meters
Answer:
V=pi(3.25)^2(12)
Step-by-step explanation:
The “pi” is an actual sign
Oliver lives in a state with no state income tax. He pays $180 in payroll tax each week. If the federal income tax is 0.75 of the payroll tax, how much are the other taxes?
Answer:
The other taxes are $135.
Step-by-step explanation:
From the information provided, you know that Oliver pays $180 in payroll tax and that the federal income tax is 0.75 of the payroll tax, so in order to find how much are the other taxes you have to calculate the 0.75 of the payroll tax Oliver pays:
180*0.75=135
According to this, the answer is that the other taxes are $135.
This is the graph of f(x). What is the value of f(3)?
Answer:
Option C. 8 will be your answer
Step-by-step explanation:
hope it helps you...
have a great day!!!
What is the value of x
Answer:
x = 9
y = 5
Step-by-step explanation:
<N and < M are opposite equal sides. So they are equal as well. In addition, the base is equal to the other 2 sides. That means you are dealing with an equilateral triangle. All the angles are equal to 60 degrees.
7x - 3 = 60 degrees Add 3 to both sides
3 3
7x = 63 Divide by 7
x = 63/7
x = 9
Just for the sake of completeness, we'll find y
11y + 5 = 60 Subtract 5 from both sides
-5 -5
11y = 55 Divide by 11
y = 55 /11
y = 5
If your running a race and you passed the person in second place what place would you be in now?
Answer:
the answer is first place
Answer:
Second place
Step-by-step explanation:
Because that person was in SECOND PLACE and you were behind them, you two switched because you got ahead of them, but you are NOT in FIRST place, because there is still one person in front of you. Good luck!
Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3
Answer:
8
-4x+6(6-2x) = -7x - 36
-4x+36-12x = -7x-36
-16x+36 = -7x-36
-16x +7x = -36-36
-9x = -72
x = 72/9
x = 8
400 passengers go on a coach trip.
Each coach takes 50 passengers.
Each passenger pays £23
Below shows the costs for the coach company.
pay for driver/cost for each coach=£95
Fuel/ cost for each coach = 70p per mile
Each coach travels 200 miles.
work out the total profit the company makes from this trip
Point D is in the interior of ∠ABC. What is m∠DBC?
37.5 degrees
we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.
The measure of angle ∠DBC is,
⇒ ∠DBC = 35.5°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Point D is in the interior of ∠ABC.
And, ∠ABD = (3x + 22)°
⇒ ∠DBC = (x - 4)°
Clearly, Both angle make a linear pair.
Hence, We get;
⇒ ∠ ABD + ∠DBC = 180°
⇒ (3x + 22) + (x - 4) = 180°
⇒ 3x + 22 + x - 4 = 180
⇒ 4x + 18 = 180
⇒ 4x = 180 - 18
⇒ 4x = 162
⇒ x = 162/4
⇒ x = 40.5
Hence, The measure of angle ∠DBC is,
⇒ ∠DBC = (x - 4)°
⇒ ∠DBC = (40.5 - 4)°
⇒ ∠DBC = 35.5°
Learn more about the angle visit:;
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Can someone please help me out?
What is the slope of the line that passes through the points (-10, 9) and (9, 9)
Step-by-step explanation:
the answer is on foto
y = 9
How much interest does a $407 investment earn at 6% over seven years?
Answer:
$204.98
Step-by-step explanation:
407(1+0.06)^7
611.98
611.98-407
204.98
So it made $204.98
Hope this helps
The set of data below represent the number of runs scored by a youth baseball team over the course of a season.
Team: 4, 8, 5, 12, 3, 9, 5, 2 Which set of statements about the data is true?
1)Mean < Standard Deviation
2)First Quartile < Standard Deviation
3)Median > Mean
4)Mean > Standard Deviation
The correct answer will be option (3) Median > Mean
ConceptFirst we will find the mean, median and standard deviation of given dataAfter finding mean, median and standard deviation we will compare them to find the correct answerHow to solve this problem?The steps are as follow:
The runs scored by youth baseball team over the course of a season is : 4, 8, 5, 12, 3, 9, 5, 2Mean is given as follow:[tex]x \: = \frac{4 + 8 + 5 + 12 + 3 + 9 + 5 + 2}{8} \\ x = 6[/tex]
So the mean will be 6Arranging the given observation 2,3,4,5,5,8,9,12To find the median the total number observation is 8 which is even so formula to find median will be:[tex][tex]m = \frac{ { (\frac{n}{2}) }^{th} obs + ( { \frac{n}{2} + 1)}^{th} obs }{2} \\ m= \frac{ { (\frac{8}{2}) }^{th} obs + ( { \frac{8}{2} + 1)}^{th} obs }{2} \\ m= \frac{ { (4) }^{th} obs + ( { 5)}^{th} obs }{2} \\ m= \frac{ { 5} + 5}{2} \\ m = 5[/tex][/tex]
So the correct answer will be option (3) Median > Mean
Learn more about mean and median here:
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What is the slope of a parallel to the graph?
Answer:
3
Step-by-step explanation:
slopes in parallel are equal
Solving the equation -5x = 4y + 8 for y gives
Answer:
y= -2-5/4x
x= -4/5y-8/5
Step-by-step explanation:
i hope this helps :)
Which statement about the two triangles is correct?
Answer:
The second choice
Step-by-step explanation:
i dunno how to explain it
2) A circle has an area of 121 ñ cm. Find its circumference. (Round your answer to the
nearest tenth.).
Answer:
If the area is 121 cm the answer is 38.99 if its 12 cm then the answer is 12.28
Step-by-step explanation:
Im not sure if correct but i tried
suppose the income tax rate is 4% determine the amount of money remaining after paying income tax on an income of $20,000
Answer:
$19200
Step-by-step explanation:
20,000*0.96=19200
< Exit
Topic 8 Test
Due 03/26/21
Fencing How much fencing is required to enclose a circular garden whose radius is 14 m? Use
22
for at
7.
About m of fencing is required to enclose the circular garden.
(Type an integer, proper fraction, or mixed number.)
Enter your answer in the answer box.
Answer:
88m of fencing
Step-by-step explanation:
the cicumference of the garden is what we are looking out for,
and with the raduis .ie.14m
C=2πr
C=2•22/7•14
C=88m
A house painter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
A. 30:54
B. 6:10
C. 10:45
D. 27:15
I need some help. Can someone assist me with this?
Answer:
x = 12
WN = 28
Step-by-step explanation:
SO = WN and SO = 2WI
3x - 8 = 2(x + 2)
3x - 8 = 2x + 4
3x - 2x = 4 + 8
x = 12 now replace x with 12 in the first equation given
3x - 8 = 3×12 - 8
36 - 8 = 28
6
B
42°
3.1 m
32°
A
D
С
Calculate the length of AB.
Show your working clearly.
Give your answer correct to 3 significant figures.
Answer:
D i did the test and got a 100
Step-by-step explanation:
3) 12 - 24 =
4) 810 - 23 =
5) 23 - 14 =
What is the length of the missing leg?