Question

A vertical spring with a force constant of 5.2

N/m has a relaxed length of 2.58 m. When
a mass is attached to the end of the spring
and allowed to come to rest, the length of the
spring is 3.50 m.
Calculate the elastic potential energy
stored in the spring.

Answer 1

Answer:To calculate the elastic potential energy stored in the spring, we can use the formula:

Elastic potential energy = (1/2) * k * Δx^2

where k is the force constant of the spring and Δx is the change in length from the relaxed length.

First, we need to calculate Δx:

Δx = 3.50 m - 2.58 m

Δx = 0.92 m

Now, we can calculate the elastic potential energy:

Elastic potential energy = (1/2) * k * Δx^2

Elastic potential energy = (1/2) * 5.2 N/m * (0.92 m)^2

Elastic potential energy = 2.17 J

Therefore, the elastic potential energy stored in the spring is 2.17 J.

Step-by-step explanation: