( ( ( ( ( ( This ( in turn ) ) ( ( is ( due ( to ( the fact ) ) ) ) ( that ( ( ( the work ) done ) ( is force-times-distance ) ) ) ) ) , ) and ) ( distance ( increases ( as ( cube-root ( of mass ) ) ) ) ) ) . )
(ROOT (S (S (NP (NP (DT This)) (PP (IN in) (NP (NN turn)))) (VP (VBZ is) (ADJP (JJ due) (PP (TO to) (NP (DT the) (NN fact)))) (SBAR (IN that) (S (NP (NP (DT the) (NN work)) (VP (VBN done))) (VP (VBZ is) (ADJP (JJ force-times-distance))))))) (, ,) (CC and) (S (NP (NN distance)) (VP (VBZ increases) (PP (IN as) (NP (NP (NN cube-root)) (PP (IN of) (NP (NN mass))))))) (. .)))
This in turn is due to the fact that the work done is force-times-distance, and distance increases as cube-root of mass.
(ROOT (S (NP (NNP Force) (NNS times) (NN distance)) (VP (VBZ is) (NP (NP (DT the) (NN equation)) (PP (IN for) (NP (NN work))))) (. .)))