Question

Read each scenario and then answer the question. Scenario A: A 3 spring is compressed a distance of 1.0 m. Scenario B: A 6 spring is compressed a distance of 0.8 m. Scenario C: A 9 spring is compressed a distance of 0.6 m. Scenario D: A 12 spring is compressed a distance of 0.4 m. Which scenario generates the most elastic potential energy?

Answer 1

Answer is B

Step-by-step explanation:

Answer 2

Scenario B

Step-by-step explanation:

The elastic potential energy of a spring is given by:

`U=(1)/(2)kx^2`

where k is the spring constant and x is the compression/stretching of the string.

Let's apply this formula to calculate the elastic potential energy for each scenario:

- Scenario A:
`U=(1)/(2)(3)(1.0 m)^2=1.50 J`

- Scenario B:
`U=(1)/(2)(6)(0.8 m)^2=1.92 J`

- Scenario C:
`U=(1)/(2)(9)(0.6 m)^2=1.62 J`

- Scenario D:
`U=(1)/(2)(12)(0.4 m)^2=0.96 J`

So, scenario B is the one that generates the most elastic potential energy.