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수학동아 - 폴리매스
함께 풀고 싶은 문제
나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.
[문장제 문제&개념응용] 물 부어버려서 깨우기
우럭
2021.01.17 22:02
조회 442
침대를 찢어도 솜은 솜인지라 액체는 전도가 가능하다. 바로 이 점을 이용하여,
라임은 침대 구석에 물을 부어 원파를 극악의 온도로 깨우려고 한다.
이때, 조건이 있다. 부은 물의 초기 전도 속도 v0는 온도 T에 비례하고,
양인 L에도 비례한다. 그후에 전도하면서 늦춰지는 가속도는 a이며, 이는 속도와는 반대로
온도 T에 반비례, 양인 L에 루트배로 반비례한다.
물론 엄청 뜨거운 물을 많이 부으면 좋겠지만, 이걸 운반하는 라임도 힘들다.
무게인 10L에 |T - 25|를 곱하면 라임 운반함수 S(x)가 된다.
0.5 <= L <= 5, 0 < T < 100이고, 모든 비례상수는 정수라면,
S(x)*v0의 최소는?
[풀이 필수]
-
원파
Lv.9
2021.01.18 08:18
-
우럭
Lv.9
2021.01.18 08:25
좋아요0
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