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## Homework Statement

A constant horizontal pull acts on a sled on a horizontal frictionless ice pond. The sled starts from rest. When the pull acts over a distance x, the sled acquires a speed v and a kinetic energy K. If the same pull instead acts over twice this distance, <the sled's speed will be sqrt(2)v and its kinetic energy will be 2K>?

## Homework Equations

K=1/2mv^2

## The Attempt at a Solution

The last part between the < > was actually the correct answer as part of a multiple choice question, but I've tried figuring out the relationship and haven't come up with anything. I already missed the question (I thought speed would be 2v and kinetic energy would be 2K), but I would still like to know how those figures and values are found for the future. Thanks!