Subject: question on how to kick yourself to center of merry go round.

I wanted to know if someone knew the answer or the formula for getting 
the answer more importantly.
The question is this: If a single child of 25Kg is on a merry go round 
and the child is sitting 1 meter away from the center(radius) and the 
velocity of the merry go round is 10meters/second. How much force/work 
would the child need to kick off the outer bar to push herself to the 
center in only 180 degrees of 1 rotation. Assume child is on low friction 
skateboard to roll to center with correct kick amount. I found the 
force by F=mV2/r equal F=25(10m/s)2/1=2500N. 
The 10m/s is 2Pi*r for distance traveled per revolution is 6.28 meters 
per revolution to be 1.59 revolutions per second. I know that with the 
2500N centripetal force keeping her going in a circle, but how much 
force on a one time kick to get to the center in only 180 degrees turn of 
merry go round??? 

Re: question on how to kick yourself to center of merry go round.