Physics, 17.11.2020 16:30, zitterkoph

Un bloque de 20kg de masa se desplaza horizontalmente en la dirección de eje X por acción de una fuerza horizontal variable F = 6x, donde F se mide en Newton y "x" en metros. Si se desprecia el rozamiento determine: a) El trabajo realizado por esta fuerza mientras el bloque se mueve desde la posición x=+10m hasta la posición x=+20m b) La rapidez del bloque en la posición x=+20m, si su rapidez en la posición x=+10m fue √10 m/s.

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a) El trabajo realizado por esta fuerza mientras el bloque se mueve desde la posición x = + 10 m hasta la posición x = + 20 m es 900 joules.

b) La rapidez del bloque en la posición x = + 20 metros es aproximadamente 5.701 metros por segundo.

Explanation:

a) El trabajo expermentado por el bloque (), medido en joules, es definida por la siguiente ecuación integral:

$W = \int\limits^{x_{max}}_ {x_{min}} F(x) \, dx$ (1)

Donde:

$x_{min}$ , $x_{max}$ - Posiciones mínima y máxima del bloque, medidos en metros.

F(x) - Fuerza horizontal aplicada al bloque, medida en newtons.

Si conocemos que $F(x) = 6\cdot x$ , $x_{min} = 10\,m$ y $x_{max} = 20\,m$ , entonces el trabajo realizado por esta fuerza es:

$W = \int\limits^{20\,m}_{10\,m} {6\cdot x} \, dx$ (2)

$W = 6\int\limits^{20\,m}_{10\,m} x\, dx$

$W = 3\cdot x^{2}\left|\limits_{10\,m}^{20\,m}$

$W = 3\cdot [(20\,m)^{2}-(10\,m)^{2}]$

$W = 900\,J$

El trabajo realizado por esta fuerza mientras el bloque se mueve desde la posición x = + 10 m hasta la posición x = + 20 m es 900 joules.

b) La rapidez final del bloque se determina mediante de Teorema del Trabajo y la Energía, es decir:

$W = K_{f}-K_{o}$ (3)

Donde son $K_{o}$ , $K_{f}$ las energías cinéticas traslacionales inicial y final, medidos en joules.

Al aplicar la definición de energía cinética traslacional, expandimos y simplificamos la ecuación como sigue:

$W = \frac{1}{2}\cdot m \cdot (v_{f}^{2}-v_{o}^{2})$ (4)

Donde:

- Masa del bloque, medido en kilogramos.

$v_{o}$ , $v_{f}$ - Rapideces inicial y final del bloque, medidos en metros por segundo.

$\frac{2\cdot W}{m} = v_{f}^{2}-v_{o}^{2}$

$v_{f} = \sqrt{\frac{2\cdot W}{m}+v_{o}^{2}}$

Si conocemos que $W = 900\,J$ , $m = 20\,kg$ y $v_{o} = \sqrt{10}\,\frac{m}{s}$ , entonces la rapidez final del bloque es:

$v_{f} = \sqrt{\frac{900\,J}{2\cdot (20\,kg)}+10\,\frac{m^{2}}{s^{2}} }$

$v_{f} \approx 5.701\,\frac{m}{s}$

La rapidez del bloque en la posición x = + 20 metros es aproximadamente 5.701 metros por segundo.

answered: Guest

the answer would be a

answered: Guest

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia

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Un bloque de 20kg de masa se desplaza horizontalmente en la dirección de eje X por acción de una fue...