Eating an orange enables a person to perform about 3.5x10^4 J of work. To what height does eating and orange enable a 55kg woman to climb?

Joules is a unit for work which may decomposed into N. m. Work is a quantity which is a product of force (in this case, the woman's weight) and the distance she has traveled.

W = F x d; d = W / F

Substituting the given,

d = (3.5 x 10^4 J) / (55 kg x 9.8 m/s²) = 64.94 m

Thus, the woman can climb up to 64.94 meters.