The power developed by the force in the sled is  .
 .
Further Explanation:
The Sled is being pulled on a rough surface with the coefficient of kinetic friction  with a force of magnitude
  with a force of magnitude  .
 .
The expression for the force balancing on the sled is written as:

Here,  is the normal reaction force on the sled,
  is the normal reaction force on the sled,  is the mass of the sled and
  is the mass of the sled and  is the acceleration of the sled due to the force.
  is the acceleration of the sled due to the force.
The normal reaction of the surface acting on the sled is:

Therefore, the acceleration of the sled is:

Since the sled starts from s=rest and the force acts on the sled for time  . So, the distance covered by the sled in time
 . So, the distance covered by the sled in time  is:
  is:

Here,  is the distance covered by the sled in time
  is the distance covered by the sled in time  and
  and    is the initial velocity of the sled.
 is the initial velocity of the sled.
Substitute  for
  for  and
   and  for
  for  in above expression.
  in above expression.

The work done by the force in making the sled move on the surface is given as:

Substitute the value of  in above expression.
  in above expression.

The power developed by the force acting on the sled is:

Substitute  for
   for  in above expression.
  in above expression.

Thus, the power developed by the force in the sled is  .
 .
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Answer Details:
Grade: High School
Subject: Physics
Chapter: Friction
Keywords:
Sled, pulled horizontally, coefficient of kinetic friction, mu_k, moves a distance, constant horizontal force, average power, Pavg, created by force.