There are three different ways to get from location A to location E in Figure 7.55. Along path 1, you take an elevator directly from location A straight up to location E. Along path 2, you walk from A to B, climb a rope from B to C, then walk from C to E. Along 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 80 kg person by the Earth while following each of these paths.
What is the gravitational force acting on the person along path 1, as a vector?
(c) What is the work done by the gravitational force of the Earth on the 77 kg person during the elevator ride from A to
E?
(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?
(e) What is the work done by the gravitational force of the Earth on the person as he climbs from B to C?
(f) What is the work done by the gravitational force of the Earth on the person as he walks from C to E?
(g) 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 2?
(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?
(i) What is the work done by the gravitational force of the Earth on the person as he climbs from D to E?
(j) 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?
(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?