Question

Пружинный маятник массой 100 г колеблется с периодом 0,5 сек. определит жесткость пружины

Answer 1

T = sqrt (m/k) 
k = m/T^2= 0.1/0.5^2= 0.4 

Answer 2

Calculation of the Spring Constant

To determine the spring constant (k) of a spring, we can use the formula:

T = 2π√(m/k)

where T is the period of oscillation, m is the mass of the object attached to the spring, and k is the spring constant.

In this case, the period of oscillation (T) is given as 0.5 seconds, and the mass (m) is given as 100 grams (or 0.1 kilograms).

Plugging in the values into the formula, we can solve for the spring constant (k):

0.5 = 2π√(0.1/k)

To isolate k, we can square both sides of the equation:

0.25 = 4π²(0.1/k)

Now, we can rearrange the equation to solve for k:

k = (4π² * 0.1) / 0.25

Evaluating the expression, we find:

k ≈ 39.48 N/m

Therefore, the spring constant of the given spring is approximately 39.48 N/m.