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Tems11 [23]
2 years ago
15

En una librería un libro de 0.6 kg colocado inicialmente en un estante a 40 cm del suelo fue movido a otro estante con una altur

a de 1.30 m. Determine la energía potencial en cada uno de esos lugares. ¿Cuál es el cambio en la energía potencial del libro?
Physics
1 answer:
jeyben [28]2 years ago
3 0

Considerando la definición de energía potencial:

  • la energía potencial del libro inicialmente es 2,3544 J y luego de ser movido a otro estante es 7,6518 J.
  • el cambio en la energía potencial del libro es 5,2974 J.
<h3 /><h3>Definición de energía potencial</h3>

La energía potencial es la energía que mide la capacidad que tiene un sistema para realizar un trabajo en función de su posición. En otras palabras, esta es la energía que tiene un cuerpo situado a una determinada altura sobre el suelo.

La energía potencial gravitatoria es la energía asociada con la fuerza gravitatoria. Esta dependerá de la altura relativa de un objeto a algún punto de referencia, la masa, y la fuerza de la gravedad.

Entonces para un objeto con masa m, en la altura h, la expresión aplicada a la energía gravitacional del objeto es:

Ep= m×g×h

Donde

  • Ep es la energía potencial en julios (J).
  • m es la masa en kilogramos (kg).
  • h es la altura en metros (m).
  • g es la aceleración de caída en m/s² (aproximadamente 9,81 m/s²).

<h3>Energía potencial en cada lugar</h3>

En primer lugar, se sabe inicialmente del libro:

  • m= 0,6 kg
  • g= 9,81 m/s²
  • h= 40 cm= 0,4 m (siendo 1 cm= 0,01 m)

Entonces, reemplazando en la definición de energía potencial:

Ep1= 0,6 kg× 9,81 m/s²× 0,4 m

Resolviendo:

<u><em>Ep1= 2,3544 J</em></u>

Por otro lado, se sabe los siguientes datos del libro luego de ser movido:

  • m= 0,6 kg
  • g= 9,81 m/s²
  • h= 1,30 m

Entonces, reemplazando en la definición de energía potencial:

Ep2= 0,6 kg× 9,81 m/s²× 1,30 m

Resolviendo:

<u><em>Ep2= 7,6518 J</em></u>

En resumen, la energía potencial del libro inicialmente es 2,3544 J y luego de ser movido a otro estante es 7,6518 J.

<h3>Cambio de energía potencial</h3>

El cambio en la energía potencial del libro será la diferencia entre la energía potencial luego de ser movido y la energía potencial inicial del libro:

ΔEp= Ep2 - Ep1

ΔEp= 7,6518 J - 2,3544 J

<u><em>ΔEp= 5,2974 J</em></u>

Finalmente, el cambio en la energía potencial del libro es 5,2974 J.

Aprende más sobre energía potencial:

brainly.com/question/21370800

brainly.com/question/25163940

brainly.com/question/25960490

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