In a kinetic model explain why a metal rod expands when heated​

Heat expansion

Explanation:

Heat expansion is when air bubbles get trapped in a chemical while heating,the bubble gets bigger and the host expands,therefore causing heat expansion.

When a solid is heated, its atoms vibrate faster about their fixed points. The relative increase in the size of solids when heated is therefore small.

the industrial development of cities in the ruhr area in the nineteenth century is described. the research was based on english and german language sources. several factors that shaped growth and paths of the cities were categorized and analyzed. they are locations, resources, traditions, entrepreneurs, and technological developments. locations and resources were the most important among them; other factors may be regarded as consequences from locations and resources. among the cities, bochum, essen, gelsenkirchen, and dortmund had the richest resources and most favorable locations in the transportation network and grew to be the largest cities in the ruhr area near the end of the nineteenth century. riverside location was also a favorable factor for the development, as shown in the development of duisburg on the confluence of rhine and ruhr. resource distribution can explain the rise of textile industry, metallurgical industry, and coal and iron industries, and the northward progression of the mining industry. tradition was an important factor for cities such as krefeld, barmen, elberfeld, solingen, and remscheid, which experienced development based on their traditions through the nineteenth century. various entrepreneurs exerted influences within and beyond the local level over the ruhr area. technological development stimulated the northward progression of the mining industry and the deep connection between the coal and the iron industries.

from thales, who is often considered the first western philosopher, to the stoics and skeptics, ancient greek philosophy opened the doors to a particular way of thinking that provided the roots for the western intellectual tradition. here, there is often an explicit preference for the life of reason and rational thought. we find proto-scientific explanations of the natural world in the milesian thinkers, and we hear democritus posit atoms—indivisible and invisible units—as the basic stuff of all matter. with socrates comes a sustained inquiry into ethical matters—an orientation towards human living and the best life for human beings. with plato comes one of the most creative and flexible ways of doing philosophy, which some have since attempted to imitate by writing philosophical dialogues covering topics still of interest today in ethics, political thought, metaphysics, and epistemology. plato’s student, aristotle, was one of the most prolific of ancient authors. he wrote treatises on each of these topics, as well as on the investigation of the natural world, including the composition of animals. the hellenists—epicurus, the cynics, the stoics, and the skeptics—developed schools or movements devoted to distinct philosophical lifestyles, each with reason at its foundation.

with this preference for reason came a critique of traditional ways of living, believing, and thinking, which sometimes caused political trouble for the philosophers themselves. xenophanes directly challenged the traditional anthropomorphic depiction of the gods, and socrates was put to death for allegedly inventing new gods and not believing in the gods mandated by the city of athens. after the fall of alexander the great, and because of aristotle’s ties with alexander and his court, aristotle escaped the same fate as socrates by fleeing athens. epicurus, like xenophanes, claimed that the mass of people is impious, since the people conceive of the gods as little more than superhumans, even though human characteristics cannot appropriately be ascribed to the gods. in short, not only did ancient greek philosophy pave the way for the western intellectual tradition, including modern science, but it also shook cultural foundations in its own time.