Question

Пожалуйста помогите... одну или две задачи №1 . Пружина под действием прикрепленного к ней груза массой 900 г совершает 15 колебаний в 1 мин. Найти жесткость пружины. № 2. Частота колебаний переменного тока равна 400 Гц, индуктивность катушки контура равна 300 мГн. Чему равна емкость конденсатора в контуре?

Answer 1

Problem 1: Finding the spring constant

To find the spring constant, we can use the formula for the period of oscillation of a mass-spring system:

T = 2π√(m/k)

Where: - T is the period of oscillation (in seconds) - m is the mass attached to the spring (in kilograms) - k is the spring constant (in N/m)

In this problem, we are given the mass of the load (900 g) and the number of oscillations per minute (15).

Let's convert the mass to kilograms: - Mass = 900 g = 0.9 kg

Next, we need to find the period of oscillation (T) in seconds. Since we are given the number of oscillations per minute, we can calculate the period using the formula: - T = 60 / (number of oscillations per minute)

Let's calculate the period: - T = 60 / 15 = 4 seconds

Now, we can rearrange the formula for the period to solve for the spring constant (k): - k = (4π²m) / T²

Substituting the values: - k = (4π² * 0.9) / 4²

Let's calculate the spring constant: - k = (4 * 3.1416² * 0.9) / 16 ≈ 0.663 N/m

Therefore, the spring constant of the given spring is approximately 0.663 N/m.

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