What is the spring constant of a spring that stores 25 J of elastic potential energy when compressed by 7.5 cm from its relaxed length?

Respuesta :

Answer:

The spring constant of the spring is 8888.8 N/m

Explanation:

Given that,

Elastic potential energy of the spring, U = 25 J

Compression in the spring, x = 7.5 cm = 0.075 m

We need to find the spring constant of the spring. The elastic potential energy of the spring is given by the below formula as :

[tex]E=\dfrac{1}{2}kx^2[/tex]

k is the spring constant

[tex]k=\dfrac{2E}{x^2}[/tex]

[tex]k=\dfrac{2\times 25}{(0.075)^2}[/tex]

k = 8888.8 N/m

So, the spring constant of the spring is 8888.8 N/m. Hence, this is the required solution.