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.
What are the real or imaginary solutions of each polynomial equation?
If you can answer both questions thank you
15 POINTS!!!!!
Choose the postulate used to prove the triangles are congruent. If they are not congruent, choose "Not Congruent"
A. SAS
B. AAS
C. ASA
D. SSA
E. Not Congruent
Answer:
A. SAS
the triangle is congruent by side angle and side
WHAT IS THISSSSSSSSSSSSS
Answer:
1 is to 2
Ie
1/2
Step-by-step explanation:
hope it helps
Answer:
2 to 1
which equals 2
Step-by-step explanation:
if you look at point B (2,1) and B’ (4,2)
we can see that each value is multiplied by 2
HURRYY I ONLY HAVE 15 MINS!!! Find (a) the perimeter and (b) the area of the figure. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest hundredth, if necessary.
Answer:
I only know the area sorry it is 7.065 ft2
Answer:
Perimeter: 7.712
Area: 3.534
Step-by-step explanation:
A= [tex]\pi*r^{2}/2\\[/tex]
L=[tex]\pi *r/2\\[/tex]
its 94 i said it first tho so does that mean i get brainliest
Answer:
YA if you said it first ya you are supposed to get brainlies ONLY if the question says will give brainliest if your right
Step-by-step explanation:
PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry
Answer:
I think the last one is the answer
find the slope hurry pleaseeee
Answer:
I think the answer is ¼, im not 100% aure tho.
Step-by-step explanation:
Will give brainliest plz help!
Answer:
6.28cm
Step-by-step explanation:
I think for me the easiest would be to find the circumference and divide by 4, since the arc is 1/4 of the circumference of the circle.
C=2πr
C=2(3.14)(4)
C = 25.12cm
25.12cm/4 = 6.28
To lease a new car, you must make a down payment when you sign the lease, then pay $199 per month. Six months after signing his lease, Mr. Scott had paid $2,694. Write and solve an equation to find the total amount he will have paid after 2 years.
The solution for this problem is:
Let x be the number of months; and
Let y be the amount paid
We know that m is $199 per month and the two other given are 6 months and 2694.
y = 199 (x -6) + 2694
y = 199 (36 -6) + 2694
y = 199 (30) + 2694
y = 8664
Mr. Scott paid $8664 after 3 years.
6, 18, 54, 162
What is the common ratio
Answer:
3
Step-by-step explanation:
The common ratio is 3 because 6 x 3 = 18 , 18 x 3 = 54 , and 54 x 3 - 162
Please help on these two question it is due today please help me.
Answer: 7 is 6 feet by 21 feet
8 is 12 inches
Step-by-step explanation:
What is the area of this figure?
Enter your answer in the box.
8 m
m2
p>
5 m
9 m
Answer:
81m²
Step-by-step explanation:
I took the quiz :)
Answer:
81
Step-by-step explanation:
got it right
Please I will give brainliest
Help please, and don't comment just to get the points :(
Answer:
60 degrees
Step-by-step explanation:
As the triangle is similar angle don't change so 50+70=120 and the angle of a triangle total to 180 so 180-120=60
Answer:
60°
Step-by-step explanation:
As it is said that the triangles are similar so In the similar triangles corresponding angles are equal so
< A = 50°
<E = 70°
< B = < E = 70° { being corresponding angles of similar triangles }
Now
< A + <B + < C = 180° {Being sum of angles of triangle }
50° + 70° + < C = 180°
< C = 180° - 120°
< C = 60°
Hope it will help :)❤
Can someone help me pleasee :)
Answer:
ill help you
Step-by-step explanation:
Look at the figure. Find the value of x
Answer:
x=15
Step-by-step explanation:
This is an Isosceles Triangle, so that means there are two angels that are the same. So we could rearrange the equations to get:
[tex]3x=5x-30\\\text{ subtract 5x on both sides }\\\\-2x=-30\\\text{ divide by two on both sides }\\x=15\\[/tex]
Hope it helps.
The side lengths of the figure below are given in centimeters. If the perimeter of this figure is 78 cm, what is the value of x?
Evaluate: (4/25)^1/2
I need help please ASAP lm really stuck on this question
Answer:
y=2x+3
Step-by-step explanation:
slope is rise over run. goes up to and over one so your slope is 2/1 or 2.
the c part of the equation of the line is your y-intercept(where the line crosses the y-axis) this is at 3.
so, y=2x+3
How long does it take $6,000 to quadruple if it is invested at 9.1% interest compounded annually?
a
15.9 years
b
17.8 years
c
37 years
d
222,222.22 years
Answer:
1. 15.9 years
Step-by-step explanation:
You must solve this equation:
[tex]6000 \cdot 1.091^n > 24000[/tex]
So [tex]1.091^n > 4[/tex]
Take the log left and right:
[tex]\log 1.091^n > \log 4[/tex]
use the log property that you can put the exponent in front:
[tex]n \cdot \log 1.091 > \log 4[/tex]
[tex]n > \frac{\log 4}{\log 1.091}[/tex]
n > 15.917
8. The talent show committee sold a total of 530 tickets in advance. Student
tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were
$1740, how many of each type of ticket were sold?
... please solve this using systems of equations
Answer:
Number of students tickets sold = x = 380 tickets
Number of adults tickets sold = y = 150 tickets
Step-by-step explanation:
Let
Number of students tickets sold = x
Number of adults tickets sold = y
x + y = 530 (1)
3x + 4y = 1740 (2)
From (1)
x = 530 - y
Substitute x = 530 - y into (2)
3x + 4y = 1740
3(530 - y) + 4y = 1740
1590 - 3y + 4y = 1740
- 3y + 4y = 1740 - 1590
y = 150
Substitute y = 150 into (1)
x + y = 530
x + 150 = 530
x = 530 - 150
x = 380
Number of students tickets sold = x = 380 tickets
Number of adults tickets sold = y = 150 tickets
Which statement about the two triangles is correct?
Answer:
The second choice
Step-by-step explanation:
i dunno how to explain it
Find the distance between the pair of points. (4,1) and (9,6)
Answer:
5√2 or 7.07 units
Step-by-step explanation:
To find the distance between two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the given values of (4,1) and (9,6)
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(9 - 4)² + (6 - 1)²]
Simplify the parentheses.
d = √[(5)² + (5)²]
Simplify the exponents.
d = √[25 + 25]
Add.
d = √[50]
Evaluate the radical.
5√2 or 7.07
Round the decimal.
5√2 or 7.07 units
Hope this helps!
I need help what is y over 5>= 8
Answer:
3 i think
Step-by-step explanation:
In a class there are 15 students. 8 of them like playing soccer, 6 of them like swimming, and 2 like both and swimming and playing soccer. How many students do not like playing soccer and do not like swimming?
Answer:
6+8-2=12, 15-12=3 answer=3
Mike walked 5/8 of the way to school before it started raining.how many percent of the trip did he get before it rained
Answer:
62.5%
Step-by-step explanation:
To find the percent, divide 5 by 8, and multiply it by 100:
5/8
= 0.625
0.625(100)
= 62.5
So, Mike walked 62.5% of the trip
Answer:
62.5%
Step-by-step explanation:
5/8 As A Decimal Is 0.625
So Inequalify 5/8. So, 62.5/100
then convert 0.625 by 5/8, Which is 62.5.
So your answer is 62.5%.
Please help, round to the nearest thousandth
Answer: 188.5
Step-by-step explanation:
A=2(πrh)+2(πr^2) (formula)
188.49556
Find the circumference of the circle with the given area A. Use 3.14 for TI
A = 87.9
C =
r=
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
Write an equation of the line shown in the graph in slope intercept form (y = mx + b). Show
your work for full credit.
(4,6)
(2, 2)
Answer:
y = 2x - 2
Step-by-step explanation:
Points on graph: (4,6) and (2, 2)
Slope:
m=(y2-y1)/(x2-x1)
m=(2-6)/(2-4)
m=(-4)/(-2)
m = 2
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = 2(x - 4)
y - 6 = 2x - 8
y = 2x - 2