A particle undergoes three successive displacements in a plane, as follows: d → 1 , 4.00 m southwest; then d → 2 , 5.00 m east; and finally d → 3 , 6.00 m in a direction 60.0° north of east. Choose a coordinate system with the y axis pointing north and the x axis pointing east. What are (a) the x component and (b) the y component of d → 1 ? What are (c) the x component and (d) the y component of d → 2 ? What are (e) the x component and (f) the y component of d → 3 ? Next, consider the net displacement of the particle for the three successive displacements. What are (g) the x component, (h) the y component, (i) the magnitude, and (j) the direction of the net displacement? If the particle is to return directly to the starting point, (k) how far and (l) in what direction should it move?
A particle undergoes three successive displacements in a plane, as follows: d → 1 , 4.00 m southwest; then d → 2 , 5.00 m east; and finally d → 3 , 6.00 m in a direction 60.0° north of east. Choose a coordinate system with the y axis pointing north and the x axis pointing east. What are (a) the x component and (b) the y component of d → 1 ? What are (c) the x component and (d) the y component of d → 2 ? What are (e) the x component and (f) the y component of d → 3 ? Next, consider the net displacement of the particle for the three successive displacements. What are (g) the x component, (h) the y component, (i) the magnitude, and (j) the direction of the net displacement? If the particle is to return directly to the starting point, (k) how far and (l) in what direction should it move?
A particle undergoes three successive displacements in a plane, as follows:
d
→
1
, 4.00 m southwest; then
d
→
2
, 5.00 m east; and finally
d
→
3
, 6.00 m in a direction 60.0° north of east. Choose a coordinate system with the y axis pointing north and the xaxis pointing east. What are (a) the xcomponent and (b) the y component of
d
→
1
? What are (c) the x component and (d) the y component of
d
→
2
? What are (e) the xcomponent and (f) the y component of
d
→
3
? Next, consider the net displacement of the particle for the three successive displacements. What are (g) the xcomponent, (h) the y component, (i) the magnitude, and (j) the direction of the net displacement? If the particle is to return directly to the starting point, (k) how far and (l) in what direction should it move?
A =
direction of vector
1. Vector A
1.00 i + -2.00 and vector B = 3.00
/
B = 3.00 i
+4.00
+4.00 j. What are the magnitude and
= A + B ?
Answer: 4.47 in a direction 26.6° counterclockwise from the positive x axis
K
The three vectors in the figure have magnitudes a 3.10 m, b-2.90 m, and c= 10.1 m and angle - 38.0% What are (a) the x
component and (b) the y component of a; (c) the x component and (d) the y component of b; and (e) the x component and (f) the y
component of ? If pa+qb.what are the values of (g) p and (h) q?
Ve
Your answer is partially correct.
The three vectors in the figure have magnitudes a = 3.10 m, b = 2.60 m, and c = 10.2 m and angle 9 = 35.0%. What are (a) the x
component and (b) they component of a; (c) the x component and (d) they component of b; and (e) the x component and (f) the y
component of ? If = pa + gỗ, what are the values of (g) p and (h) q?
(a) Number
(b) Number
(d) Number
(c) Number 2.12979
(e) Number
(f) Number
3.10
(g) Number
0
-5.8504
1.991282
8.35533
i
(h) Number i
Units
Units
Units
[1]
Units
Units m
Units m
Units
Units
m
m
m
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