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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 51 kg person by the Earth while following each of these paths. E D A Taking the origin at location A, the coordinates of the other locations are: 78= (-3, 0, 0); 7c = (-3, 12, 0); 7 (39, 0, 0); 7> = {0, 12, 0). D (a) Path 1 (A to E): What is the displacement vector A7 for the path from A to E on the elevator? AF = (0,12,0) m (b) What is the gravitational force acting on the person along path 1, as a vector? F(-0,-3.2e3,0) N X (c) What is the work done by the gravitational force of the Earth on the 51 kg person during the elevator ride from A to E? W₁ = F•A7 = (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= J (e) What is the work done by the gravitational force of the Earth on the person as he climbs from B to C? WB+C = J (f) What is the work done by the gravitational force of the Earth on the person as he walks from C to E? WC+E= ]₁ (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? W₂ = J (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? WD-E= J (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? W3 = J

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 51 kg person by the Earth while following each of these paths. E D A Taking the origin at location A, the coordinates of the other locations are: 78= (-3, 0, 0); 7c = (-3, 12, 0); 7 (39, 0, 0); 7> = {0, 12, 0). D (a) Path 1 (A to E): What is the displacement vector A7 for the path from A to E on the elevator? AF = (0,12,0) m (b) What is the gravitational force acting on the person along path 1, as a vector? F(-0,-3.2e3,0) N X (c) What is the work done by the gravitational force of the Earth on the 51 kg person during the elevator ride from A to E? W₁ = F•A7 = (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= J (e) What is the work done by the gravitational force of the Earth on the person as he climbs from B to C? WB+C = J (f) What is the work done by the gravitational force of the Earth on the person as he walks from C to E? WC+E= ]₁ (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? W₂ = J (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? WD-E= J (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? W3 = J

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 51 kg person by the Earth while following each of these paths. B = E A Taking the origin at location A, the coordinates of the other locations are: 7 B = (-3, 0, 0); 7c = ( -3, 12, 0 ) ; p = ( 39, 0, 0); > = { 0, 12, 0). (a) Path 1 (A to E): What is the displacement vector Ar for the path from A to E on the elevator? AT = (0,12,0) = D m (b) What is the gravitational force acting on the person along path 1, as a vector? (-0, -3.2e3,0) N X (c) What is the work done by the gravitational force of the Earth on the 51 kg person during the elevator ride from A to E? W1 F.Ar (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 = J (e) What is the work done by the gravitational force of the Earth on the person as he climbs from B to C? WB+C = (f) What is the work done by the gravitational force of the Earth on the person as he walks from C to E? WC+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? W₂ = J (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? WD→E = (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? W3 =
Transcribed Image Text: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 51 kg person by the Earth while following each of these paths. B = E A Taking the origin at location A, the coordinates of the other locations are: 7 B = (-3, 0, 0); 7c = ( -3, 12, 0 ) ; p = ( 39, 0, 0); > = { 0, 12, 0). (a) Path 1 (A to E): What is the displacement vector Ar for the path from A to E on the elevator? AT = (0,12,0) = D m (b) What is the gravitational force acting on the person along path 1, as a vector? (-0, -3.2e3,0) N X (c) What is the work done by the gravitational force of the Earth on the 51 kg person during the elevator ride from A to E? W1 F.Ar (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 = J (e) What is the work done by the gravitational force of the Earth on the person as he climbs from B to C? WB+C = (f) What is the work done by the gravitational force of the Earth on the person as he walks from C to E? WC+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? W₂ = J (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? WD→E = (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? W3 =
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