Question

Растяжение пружины динамометра увеличили в 2 раза. Выберите формулу, по которой можно определить потенциальную энергию Eр пружины. Считать, что k- жёсткость пружины, x- удлинения пружины.2kx^2-kxkx^2/4kx^2kx^2/2Как изменится энергия пружины динамометра?уменьшится в 2 разаувеличится в 4 разане изменитсяувеличится в 2 разауменьшится в 4 раза

Answer 1

Ответ:

kx^2/2

увеличится в 4 раза

Answer 2

Formula for Potential Energy of a Spring

The potential energy of a spring can be determined using the formula Eₚ = 1/2 kx², where: - Eₚ represents the potential energy of the spring, - k is the spring constant (also known as the stiffness constant), and - x is the displacement or elongation of the spring from its equilibrium position.

Change in the Potential Energy of the Spring

In this case, the elongation of the spring has been increased by a factor of 2. To determine how this affects the potential energy of the spring, we can substitute the new value of elongation (2x) into the formula.

Let's calculate the potential energy of the spring before and after the elongation is increased:

- Before the elongation is increased: Eₚ₁ = 1/2 kx² - After the elongation is increased: Eₚ₂ = 1/2 k(2x)² = 1/2 k(4x²) = 2kx²

Comparing the two equations, we can see that the potential energy of the spring after the elongation is increased is 2 times greater than the potential energy before the elongation was increased.

Therefore, the correct answer is: The energy of the spring in the dynamometer will increase by a factor of 2.