Two hikers start from the top of the same hill but take different paths to the bottom. Hiker A weighs more than hiker B. The hikers take the paths shown in the figure. Hiker B takes a long time to descend than hiker A. Which of the following is a correct statement about the change in gravitational potential energy ΔUA for the Earth-hiker A system and the change in gravitational potential energy ΔUB for the Earth-hiker B system? ΔUA=ΔUB, because the height descended for both is the same. ΔUA⁢=ΔUB, because the height descended for both is the same. A ΔUA ΔUB, because the time required for hiker A to descend the hill is shorter. ΔUA⁢>ΔUB, because the time required for hiker A to descend the hill is shorter. D ΔUA>ΔUB, because the gravitational force exerted on hiker A is greater.