( ( For ( a ( bicycle ( to ( travel ( at ( the ( same speed ) ) ) ) ) ) ) ) ( , ( ( using ( a ( lower gear ) ) ) ( ( ( ( ( ( -LRB- ( ( larger ( mechanical advantage ) ) -RRB- ) ) ( requires ( the ( rider ( to ( pedal ( at ( a ( faster cadence ) ) ) ) ) ) ) ) ) , ) but ) ( with ( less force ) ) ) . ) ) ) )
(ROOT (S (PP (IN For) (NP (DT a) (NN bicycle) (S (VP (TO to) (VP (VB travel) (PP (IN at) (NP (DT the) (JJ same) (NN speed)))))))) (, ,) (S (VP (VBG using) (NP (DT a) (JJR lower) (NN gear)))) (VP (VP (PRN (-LRB- -LRB-) (NP (NP (JJR larger)) (NP (JJ mechanical) (NN advantage))) (-RRB- -RRB-)) (VBZ requires) (NP (DT the) (NN rider) (S (VP (TO to) (VP (VB pedal) (PP (IN at) (NP (DT a) (JJR faster) (NN cadence)))))))) (, ,) (CC but) (VP (PP (IN with) (NP (JJR less) (NN force))))) (. .)))
For a bicycle to travel at the same speed, using a lower gear (larger mechanical advantage) requires the rider to pedal at a faster cadence, but with less force.
(ROOT (S (NP (DT A) (NN person)) (VP (VBZ uses) (NP (JJ mechanical) (NN energy) (S (VP (TO to) (VP (VB pedal) (NP (DT a) (NN bicycle))))))) (. .)))