Question

пружина жесткостью K=2*10 5 H/M под действием силы упругости удлиняется на 3 см.Какова потенциальная энергия растянутой пружины?

Answer 1

См. решение во вложении..!

 

Answer 2

Calculation of Potential Energy of a Stretched Spring

To calculate the potential energy of a stretched spring, we need to 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, we are given that the spring has a stiffness constant of K = 2 * 10^5 H/M and it elongates by 3 cm (0.03 m) under the action of the restoring force.

Let's substitute the given values into the formula to calculate the potential energy of the stretched spring.

Potential Energy (PE) = (1/2) * (2 * 10^5 H/M) * (0.03 m)^2

Calculating this expression gives us the potential energy of the stretched spring.

Calculation:

Potential Energy (PE) = (1/2) * (2 * 10^5 H/M) * (0.03 m)^2

Potential Energy (PE) = (1/2) * (2 * 10^5) * (0.03^2) H/M * m^2

Potential Energy (PE) = (1/2) * (2 * 10^5) * (0.0009) H * m

Potential Energy (PE) = 900 J

Therefore, the potential energy of the stretched spring is 900 J.