Question

Пружину жёсткостью 200 Н/м растянули на 5 см. Чему равна её потенциальная энергия в этом состоянии?

Answer 1

её потенциальная энергия в этом состоянии

 

W =kx^2 /2 =200*0.05^2 /2 = 0.25 Дж

Answer 2

Calculation of Potential Energy

To calculate the potential energy of a spring, we can use the formula:

Potential Energy (PE) = (1/2) * k * x^2

Where: - PE is the potential energy of the spring - k is the spring constant (also known as the stiffness constant) - x is the displacement of the spring from its equilibrium position

In this case, the spring constant (k) is given as 200 N/m, and the displacement (x) is 5 cm (or 0.05 m).

Substituting the given values into the formula, we can calculate the potential energy:

PE = (1/2) * 200 * (0.05)^2

Calculating the expression:

PE = (1/2) * 200 * 0.0025 PE = 0.25 Joules

Therefore, the potential energy of the spring in this state is 0.25 Joules.