(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? WCHE = (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= =

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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 51 kg person by the Earth while
following each of these paths.
B
Taking the origin at location A, the coordinates of the other locations are: 7 = · < -3, 0, 0 ) ; 7c = { -3, 12, 0 ) ; D = ( 39, 0, 0 ) ; 7 > = { 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?
Ar = (0,12,0)
F
A
=
m
(b) What is the gravitational force acting on the person along path 1, as a vector?
(0,- 499.8,0)
N
D
(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?
= F.AT = -5997.6
W₁
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=
J
(e) What is the work done by the gravitational force of the Earth on the person as he climbs from 8 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 =
J
(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 =
(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
(1) What is the work done by the gravitational force of the Earth on the person as he climbs from D to E?
WO→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
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 Taking the origin at location A, the coordinates of the other locations are: 7 = · < -3, 0, 0 ) ; 7c = { -3, 12, 0 ) ; D = ( 39, 0, 0 ) ; 7 > = { 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? Ar = (0,12,0) F A = m (b) What is the gravitational force acting on the person along path 1, as a vector? (0,- 499.8,0) N D (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? = F.AT = -5997.6 W₁ 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= J (e) What is the work done by the gravitational force of the Earth on the person as he climbs from 8 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 = J (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 = (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 (1) What is the work done by the gravitational force of the Earth on the person as he climbs from D to E? WO→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
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