<em>If the same pull instead acts over twice this distance, </em>
C) The sled’s speed will be v√2 and its kinetic energy will be 2K.

<h3>Further explanation</h3>
Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

F = Force ( Newton )
m = Object's Mass ( kg )
a = Acceleration ( m )
Let us now tackle the problem !

<u><em>Complete Question:</em></u>
<em>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:</em>
<em>A) The sled’s speed will be 2v and its kinetic energy will be 2K.</em>
<em>B) The sled’s speed will be 2v and its kinetic energy will be K√2.</em>
<em>C) The sled’s speed will be v√2 and its kinetic energy will be 2.</em>
<em>D) The sled's speed will be v√2 and its kinetic energy will be K√2.</em>
<em>E) The sled's speed will be 4v and its kinetic energy will be 2K.</em>

<em>We will use following formula to solve this problem:</em>




<em>Let's compare the two situations by using above formula:</em>












<h3>Conclusion:</h3>
<em>If the same pull instead acts over twice this distance, </em>
<em>C) The sled’s speed will be v√2 and its kinetic energy will be 2K.</em>

<h3>Learn more</h3>

<h3>Answer details</h3>
Grade: High School
Subject: Physics
Chapter: Dynamics