The current shape of the North American continent (the present-day territory of the United States of America and Canada) was formed 25,000 years ago. At that time the great northern icecap flowed over the North American continent. This ice flow determined the size and drainage of the Great Lakes. They changed the direction of the Missouri River and carved the channel of the Hudson River. They created the northern part of the Central Agricultural Basin, which is one of the richest farming areas in the world.
On the Atlantic shore of the United States, much of the northern coast is rocky. But the middle and southern Atlantic coasts rise gently from the sea. The Appalachians, which run almost parallel to the east coast, are old mountains with many coal rich valleys between them To the west of the Appalachians, lie plateaus built up over the centuries from bits of stone that were washed down from the mountains and then cut into small hills by streams. Beyond is the great Central Lowland which resembles the plains of Eastern Europe.
Данные для воды с массой 100 грамм и при 100 градусах обозначим индексом 1, для другой воды - 2. t - температура конечной смеси.
Q1=cm1(t-t1); (в скобках из конечной температуры вычитаем начальную)
Q2=cm2(t2-t);
Т.к. эти две порции воды смешали, более горячая вода начала отдавать энергию более холодной, а холодая принимать (два уравнения вверху говорят нам об этом). Сколько энергии отдаст горячая, столько примет холодная, т.е. Q1=Q2, следовательно:
cm1(t-t1)=cm2(t2-t);
cm1t-cm1t1=cm2t2-cm2t;
Поделим на c и перенесём всё с t влево, всё остальное - вправо:
m1t+m2t=m1t1+m2t2;
t(m1+m2)=m1t1+m2t2;
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