There are three different ways to get from location A to location E in the diagram below. In path 1, you take an elevator directly from location A straight up to location E. In path 2, you walk from A to B, climb a rope from B to C, then walk from C to E. In path 3, you walk from location A to D, then climb a ramp up to location E. The following questions focus on the work done on a 62 kg person by the Earth while following each of these paths. C E II D B A Taking the origin at location A, the coordinates of the other locations are: 75 = ( -3, 0, 0 > ; 7C = ( -3, 17, 0 > ; 70 = ( 39, 0, O > ; 75> = . (a) Path 1 (A to E): What is the displacement vector A? for the path from A to E on the elevator? _, Ar: m (b) What is the gravitational force acting on the person along path 1, as a vector? _, F: N (c) What is the work done by the gravitational force of the Earth on the 62 kg person during the elevator ride from A to E? Mews] (d) Path 2 A to B to C to E): What is the work clone by the gravitational force of the Earth on the person as he walks from A to B? WA>B = 3 (e) What is the work clone by the gravitational force of the Earth on the person as he climbs from B to C? Wm]: (f) What is the work done by the gravitational force of the Earth on the person as he walks from C to E? WW]: (9) What is the total work clone by the gravitational force of the Earth on the person as the person goes from A to E along path 2? W2=:J (d) Path 2 A to B to C to E): What is the work done by the gravitational force of the Earth on the person as he walks from A to B? WA>B = 3 (e) What is the work done by the gravitational force of the Earth on the person as he climbs from B to C? Wm]: (f) What is the work done by the gravitational force of the Earth on the person as he walks from C to E? WW: (9) What is the total work clone by the gravitational force of the Earth on the person as the person goes from A to E along path 2? WPEJ (h) Path 3 A to D to E : What is the work done by the gravitational force of the Earth on the person as he walks from A to D? WA>D = J (i) What is the work done by the gravitational force of the Earth on the person as he climbs from D to E? WW: (1') What is the total work done by the gravitational force of the Earth on the person as the person goes from A to E along path 3? ME] (k) You calculated the work done by the gravitational force of the Earth on the person along three different paths. How do these quantities compare with each other? 0 W3 > W1 = W2 OW1>W2>W3 OW1