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Total height of the gymnast just before falling back down is=(2+.3)=2.3m

Energy gained at that point

= m*g*h(m=mass, g=gravitational force, h=height)

=55*9.8*2.3=1239.7 J

And the work done by the average force(let the force be F) that is exerted by the mat, moving through a distance of 0.3m=F*0.3 m

So, F*0.3 =1239.7 J

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