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alisha [4.7K]
3 years ago
15

Se debe usar una rampa de 5 m para elevar muebles que pesen 490 N hasta una plataforma a una altura de 2 m. Su propuesta de que

la eficiencia de la rampa es del 100%, ¿cuál debe ser la fuerza requerida para levantar cada mueble en la rampa?
Physics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

F = 180 N

Explanation:

To find the required force you first calculate the angle of the ramp, by using the following relation:

sin\theta=\frac{2m}{5m}=0.4\\\\\theta=sin^{-1}(0.4)=23.57\°

Next, you use the Newton second law to know what is the x component (in a rotated coordinate system) of the gravitational force:

F_x=mgsin\theta

the required force must be, at least, the last force Fx. You know that the weight of the object is 490N = mg. Hence, you have:

F=F_x=(450N)sin(23.57\°)=180N

the required force is 180N

- - - - - - - - - - - - - - - - - - - - - - - -

TRANSLATION:

Para encontrar la fuerza requerida, primero calcule el ángulo de la rampa, utilizando la siguiente relación:

Luego, usa la segunda ley de Newton para saber cuál es el componente x (en un sistema de coordenadas girado) de la fuerza gravitacional:

la fuerza requerida debe ser, al menos, la última fuerza Fx. Sabes que el peso del objeto es 490N = mg. Por lo tanto, tienes:

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