The work done to accelerate the acrobat is given by
[tex]W=Fd[/tex]
where F is the force applied and d the distance of application of the force.
If the barrel is 3.05 m long, then d=3.05 m. Therefore we can find the force:
[tex]F= \frac{W}{d} = \frac{17600 J}{3.05 m} =5475 N[/tex]