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 hurry pleaseeee
Answer:
I think the answer is ¼, im not 100% aure tho.
Step-by-step explanation:
Please help, round to the nearest thousandth
Answer: 188.5
Step-by-step explanation:
A=2(πrh)+2(πr^2) (formula)
188.49556
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%.
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]
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
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!
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 :)❤
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
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
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:
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 circumference of the circle with the given area A. Use 3.14 for TI
A = 87.9
C =
r=
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
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
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
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
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:
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
Please I will give brainliest
Can someone help me pleasee :)
Answer:
ill help you
Step-by-step explanation:
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.
What are the real or imaginary solutions of each polynomial equation?
If you can answer both questions thank you
Which statement about the two triangles is correct?
Answer:
The second choice
Step-by-step explanation:
i dunno how to explain it
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
I need help what is y over 5>= 8
Answer:
3 i think
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
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
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.
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