- #1

miyayeah

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## Homework Statement

The spring in the figure (Figure 1) is compressed by length Δx. It launches the block across a frictionless surface with speed v0. The two springs in the figure (Figure 2) are identical to the spring of figure 1. They are compressed by the same length Δx and used to launch the same block. What is the block's speed now (for figure 2)?

Figure 1:

Figure 2:

## Homework Equations

Ui = Kf

Esp = ½ k ⋅ Δx

^{2}

Esp = K = ½ mv

^{2}

(as it launches off)

## The Attempt at a Solution

I am not sure how having double the spring would affect the block's speed. I assumed it would increase (double) the spring potential energy because two of the same spring from Figure 1 are present for the situation in Figure 2. Would the speed for Figure 2, then, be simply 2V0?

v/v0 is also in front of the answer box, and I am not sure why.

Any help would be much appreciated!