Question

Is a spring stores 5 J of energy when its conpresses by 0.5 m what is the spring constant of the spring?

Answer 1

k = 40 N/m

Step-by-step explanation:

A spring's energy is given:

`U = 0.5kx^2`

U is the energy in the spring, k is the spring constant and x is the spring displacement.

We are told that the spring stores 5J of energy, therefore, U = 5J. We are also told that the spring is compressed by 0.5m, so the spring x = 0.5m

`5 J = 0.5k(0.5m)^2\\5J = 0.5k(0.25m^2)\\5J = k*(0.125)m^2\\\\k = 5J/(0.125)m^2\\k = 40 N/m`

k = 40 N/m

Hope this helps!