A un cuerpo de 4kg que está en reposo sobre la superficie de la tierra, se aplica durante 8seg una fuerza de 60N dirigida verticalmente hacia arriba. Calcule la altura máxima que alcanza el cuerpo.

Answers

Answer 1

Answer:

[tex] y_{t} = 253.94 m [/tex]

Explanation:

Para resolver este problema debemos contemplar dos tramos.

En el primer tramo, la fuerza aplicada impulsa al cuerpo a subir una altura dada debido a la aceleración que genera esa fuerza.

[tex] \Sigma F = ma [/tex]

[tex] F - P = ma [/tex]

[tex] F - mg = ma [/tex]

En donde:

F: es la fuerza aplicada = 60 N

P: es el peso del cuerpo = mg

m: es la masa del cuerpo = 4 kg

g: es la aceleración debido a la gravedad = 9.81 m/s²

a: es la aceleración

Entonces, la aceleración generada por la fuerza aplicada es:

[tex] a = \frac{F - mg}{m} = \frac{60 N - 4kg*9.81 m/s^{2}}{4 kg} = 5.19 m/s^{2} [/tex]

Ahora, debemos calcular la altura recorrida mientras el cuerpo está acelerado hacia arriba:

[tex] y_{{1}} = y_{0} + v_{0}t + \frac{1}{2}at^{2} [/tex]  

En donde:

[tex] y_{1}[/tex]: es la altura final del tramo 1 =?                                                                          [tex] y_{0}[/tex]: es la altura inicial = 0  

[tex] v_{0}[/tex]: es la velocidad inicial = 0 (parte del reposo)  

t: es el tiempo = 8 s

[tex] y_{1} = 0 + 0 + \frac{1}{2}5.19 m/s^{2}*(8 s)^{2} = 166.08 m [/tex]  

Por lo tanto, mientras el cuerpo está acelerado (durante los 8 s) recorre 166.08 metros.  

Ahora, en el segundo tramo el cuerpo sigue subiendo hasta alcanzar una altura máxima para luego comenzar a descender. Podemos usar la siguiente ecuación para calcular la altura recorrida.  

[tex] v_{f}^{2} = v_{0}^{2} - 2gy_{2} [/tex]  

En donde:    

[tex] v_{f}[/tex]: es la velocidad final = 0 (en la altura máxima)

[tex] v_{0}[/tex]: es la velocidad inicial

Primero debemos encontrar la velocidad inicial en el segundo tramo, que es igual a la velocidad final del primer tramo:

[tex] v_{f} = \sqrt{v_{0} + 2ay_{1}} = \sqrt{0 + 2*5.19 m/s^{2}*166.08 m} = 41.52 m/s [/tex]    

Entonces, la altura recorrida en el segundo tramo es:

[tex] y_{2} = \frac{v_{0}^{2} - v_{f}^{2}}{2g} = \frac{(41.52 m/s)^{2} - 0}{2*9.81 m/s^{2}} = 87.86 m [/tex]

Finalmente, la altura máxima es:

[tex]y_{t} = y_{1} + y_{2} = 166.08 m + 87.86 m = 253.94 m[/tex]

Espero que te sea de utilidad!


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A.

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Answer:

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Physical change changes the form of a chemical substance

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Answers

Answer:

[tex]W=17085KJ[/tex]

Explanation:

From the question we are told that:

Height [tex]H=16m[/tex]

Radius [tex]R=3[/tex]

Height of water [tex]H_w=9m[/tex]

Gravity [tex]g=9.8m/s[/tex]

Density of water [tex]\rho=1000kg/m^3[/tex]

Generally the equation for Volume of water is mathematically given by

 [tex]dv=\pi*r^2dy[/tex]

 [tex]dv=\frac{\piR^2}{H^2}(H-y)^2dy[/tex]

Where

   y is a random height taken to define dv

Generally the equation for Work done to pump water is mathematically given by

 [tex]dw=(pdv)g (H-y)[/tex]

Substituting dv

 [tex]dw=(p(=\frac{\piR^2}{H^2}(H-y)^2dy))g (H-y)[/tex]

 [tex]dw=\frac{\rho*g*R^2}{H^2}(H-y)^3dy[/tex]

Therefore

 [tex]W=\int dw[/tex]

 [tex]W=\int(\frac{\rho*g*R^2}{H^2}(H-y)^3)dy[/tex]

 [tex]W=\rho*g*R^2}{H^2}\int((H-y)^3)dy)[/tex]

 [tex]W=\frac{1000*9.8*3.142*3^2}{9^2}[((9-y)^3)}^9_0[/tex]

 [tex]W=3420.84*0.25[2401-65536][/tex]

 [tex]W=17084965.5J[/tex]

 [tex]W=17085KJ[/tex]

 

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Explanation: hope that helped bro

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Task: At the end of the lesson you will be asked to develop a final writing assignment on the environmental problerns
caused by invasive e algae e, and the methods used to restore the natural habitats e in Crystal River and Kings Bay,
ments
Essay Response: (3 Paragraphs)
5
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If someone can answer this fast I will mark as brainlist and give them 100 points plzz I need the answer fast and right!!

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Answer:

PLS PLS PLS mark brainliest

Explanation:

The following are the environmental problems caused by the invasive algae which is known as Lyngbya.

A. It blocks the sunlight from reaching the water, thereby depriving the plants in the water from accessing it. So they won't be able to manufacture their foods and eventually die off.

B. The algae produce offensive odour like rotten egg , which drive people and other organisms away.

C. The algae prevent oxygen from entering the water, and prevent the resident organisms from making use of it, which leads to their death.

D. The algae also give off heat into the chilly spring waters.

In conclusion, the goals of the Crystal River project is to save the living organisms in the river from extinction and to make it a livable environment for them.

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B.
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Answers

Answer:

The thermal energy gained by the water during the entire process is 90,372 J

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latent heat of vaporization of water, h = 2260 J/g

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The statement did Ernest Rutherford make about atoms will be the atom has a small, dense center. Then the correct option is B.

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https://brainly.com/question/5831461

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C

Explanation:

Answer:

c

Explanation:

edge

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