1. Se dispara una bala de 10grbcon una velocidad de 500m/s contra un muro de 10cm de espesor. Si la resistencia del muro al avance de la bala es de 3000 N, calcula la velosidad calcula la velocidad de la bala después de atravesar el muro. 2. Un automóvil de 1000kg de masa aumenta su velosidad de 0 a 100 km/h en un tiempo mínimo de 8s calcula su potencia en watios y en caballos de vapor. Dato : 1cv = 735w. 3. Desde una altura de 10m deja caer un cuerpo de 5kg. Calcula su velocidad al llegar al suelo

Answers

Answer 1

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.


Related Questions

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Answers

Answer:

I think the last one is the answer

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Answers

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Answer:

8

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Answer:

3

Step-by-step explanation:

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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.

Answers

The solution for this problem is:

Let x be the number of months; and

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r=

Answers

Area = r^2 * 3.14
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Answers

Answer:

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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]

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d = √[(9 - 4)² + (6 - 1)²]

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Simplify the exponents.

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Add.

d = √[50]

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5√2 or 7.07

Round the decimal.

5√2 or 7.07 units

Hope this helps!

How long does it take $6,000 to quadruple if it is invested at 9.1% interest compounded annually?

a
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b
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c
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d
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Answers

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:

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[tex]n > \frac{\log 4}{\log 1.091}[/tex]

n > 15.917

Look at the figure. Find the value of x

Answers

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.

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Answers

Answer:

A. SAS

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Answer:

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Ie

1/2

Step-by-step explanation:

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2 to 1

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Step-by-step explanation:

if you look at point B (2,1) and B’ (4,2)

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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What is the area of this figure?
Enter your answer in the box.
8 m
m2
p>
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9 m

Answers

Answer:

81m²

Step-by-step explanation:

I took the quiz :)

Answer:

81

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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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 }

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< C = 180° - 120°

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Answers

Answer:

62.5%

Step-by-step explanation:

To find the percent, divide 5 by 8, and multiply it by 100:

5/8

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0.625(100)

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Answer:

62.5%

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Answers

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6.28cm

Step-by-step explanation:

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Answers

I think the answer is 2/5

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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L=[tex]\pi *r/2\\[/tex]

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Answers

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Answers

Answer:

Number of students tickets sold = x = 380 tickets

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Step-by-step explanation:

Let

Number of students tickets sold = x

Number of adults tickets sold = y

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3x + 4y = 1740 (2)

From (1)

x = 530 - y

Substitute x = 530 - y into (2)

3x + 4y = 1740

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

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:

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Answers

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x^4-20x^2=-64
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Answers

Answer:

ill help you

Step-by-step explanation:

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Answer:

The second choice

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