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Một lò xo có chiều dài tự nhiên 12 cm được treo thẳng đứng, đầu dưới của lò xo gắn một quả nặng có khối lượng 50 g. Khi quả nặng nằm cân bằng thì lò xo có chiều dài 15 cm. Cho rằng độ dãn của lò xo tỉ lệ thuận với khối lượng vật treo. Khi treo quả nặng có khối lượng 100 g vào lò xo thì chiều dài của lò xo là bao nhiêu?

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Đề bài

Một lò xo có chiều dài tự nhiên 12 cm được treo thẳng đứng, đầu dưới của lò xo gắn một quả nặng có khối lượng 50 g. Khi quả nặng nằm cân bằng thì lò xo có chiều dài 15 cm. Cho rằng độ dãn của lò xo tỉ lệ thuận với khối lượng vật treo. Khi treo quả nặng có khối lượng 100 g vào lò xo thì chiều dài của lò xo là bao nhiêu?

Video hướng dẫn giải

Lời giải chi tiết

Độ biến dạng của lò xo khi treo quả nặng khối lượng 50 g là: 15 – 12 = 3 cmTa có: Độ biến dạng (độ dãn) của lò xo tỉ lệ thuận với khối lượng vật treo.Khi treo quả nặng 50 g, độ dãn 3 cm=> Khi treo quả nặng 100 g thì độ dãn là: \(\frac{{100.3}}{{50}} = 6cm\)Vậy khi treo quả nặng 100 g thì chiều dài của lò xo là: 12 + 6 = 18 cm.

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