( ( ( Investigate ( the relationships ) ) ( among ( ( ( floating ( , ( density ( , ( displacement ( , ( volume , ) ) ) ) ) ) ) and ) ( buoyant force ) ) ) ) . )
(ROOT (S (VP (VB Investigate) (NP (DT the) (NNS relationships)) (PP (IN among) (NP (NP (JJ floating) (, ,) (NN density) (, ,) (NN displacement) (, ,) (NN volume) (, ,)) (CC and) (NP (JJ buoyant) (NN force))))) (. .)))
Investigate the relationships among floating, density, displacement, volume, and buoyant force.
(ROOT (S (SBAR (IN If) (S (NP (DT the) (JJ buoyant) (NN force)) (VP (VBZ is) (ADJP (ADJP (JJR greater)) (PP (IN than) (NP (NP (DT the) (NN force)) (PP (IN of) (NP (NN gravity)))))) (S (VP (VBG acting) (PP (IN on) (NP (DT a) (NN ship)))))))) (, ,) (NP (PRP it)) (VP (MD will) (VP (VB float))) (. .)))
If the buoyant force is greater than the force of gravity acting on a ship, it will float.