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 Cto 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 73 kg person by the Earth while following each of these paths.

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Chapter1: Units, Trigonometry. And Vectors
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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 73 kg person by the Earth while following each of these paths.
A
Taking the origin at location A, the coordinates of the other locations are: 7 = ( -3, 0, o ) ; 7c = ( -3, 13, 0 ); 7, = ( 34, 0, 0 ) ; 7p> = { 0, 13, 0 ).
(c) What is the work done by the gravitational force of the Earth on the 73 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?
WA--B =
(e) What is the work done by the gravitational force of the Earth on the person as he climbs from B to C?
Wgc =
(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 =
(9) 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 =
(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?
(a) Path 1 (A to E): What is the displacement vector Ar for the path from A to E on the elevator? WA-D =L
(i) What is the work done by the gravitational force of the Earth on the person as he climbs from D to E?
A7 =
(j) What is the total work done by the gravitational force
W3 =
the Earth on the person as the person goes from A to E along path 3?
(b) What is the gravitational force acting on the person along path 1, as a vector?
F-
N
(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?
O W, = W2 = W3
O Wz > w, = W,
O w, > W2 > W3
O w, < W2 < 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 73 kg person by the Earth while following each of these paths. A Taking the origin at location A, the coordinates of the other locations are: 7 = ( -3, 0, o ) ; 7c = ( -3, 13, 0 ); 7, = ( 34, 0, 0 ) ; 7p> = { 0, 13, 0 ). (c) What is the work done by the gravitational force of the Earth on the 73 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? WA--B = (e) What is the work done by the gravitational force of the Earth on the person as he climbs from B to C? Wgc = (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 = (9) 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 = (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? (a) Path 1 (A to E): What is the displacement vector Ar for the path from A to E on the elevator? WA-D =L (i) What is the work done by the gravitational force of the Earth on the person as he climbs from D to E? A7 = (j) What is the total work done by the gravitational force W3 = the Earth on the person as the person goes from A to E along path 3? (b) What is the gravitational force acting on the person along path 1, as a vector? F- N (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? O W, = W2 = W3 O Wz > w, = W, O w, > W2 > W3 O w, < W2 < W3
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