Question

Какова масса грузика на пружине, жесткостью 100 Н/м, если его частота колебаний 5 Гц.

Answer 1

 T=1/(частоту)=1/5с=0.2с
T2=4Пи2*(m/k)
T2*k=4Пи2*m
Выразим m.
m=T2*k/4Пи2=(0.04c2*100Н/м)/(4*10)=0.1 кг
Ответ:0.1 кг

Answer 2

Calculation of the Mass of the Object on a Spring

To calculate the mass of the object on a spring, we need to know the frequency of oscillation and the stiffness of the spring. In this case, the frequency of oscillation is given as 5 Hz, and the stiffness of the spring is given as 100 N/m.

The formula to calculate the mass of the object on a spring is:

m = (4π² * k) / f²

Where: - m is the mass of the object on the spring - k is the stiffness of the spring - f is the frequency of oscillation

Using the given values, we can substitute them into the formula to find the mass of the object on the spring.

m = (4π² * 100) / (5²)

Now, let's calculate the mass using the formula:

m = (4 * 3.14² * 100) / 25

Simplifying the equation:

m = (4 * 9.8596 * 100) / 25

m = 39.4384 kg

Therefore, the mass of the object on the spring is approximately 39.44 kg.