Difference between revisions of "Giancoli Physics (5th ed) Chapter 7"

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[[Main Page]] > [[Giancoli Physics (5th ed) Solutions]] > Giancoli Physics (5th ed) Chapter 7 <br />
 
==Problems==
 
==Problems==
 
===1. Question===
 
===1. Question===
Line 50: Line 51:
 
===7. Question===
 
===7. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
0.491 m
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===8. Question===
 
===8. Question===
 
<blockquote>
 
<blockquote>
Line 88: Line 90:
 
===12. Question===
 
===12. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a.) 4.70 x 10<sup>3</sup> m/s
 +
b.) 5.90 x 10<sup>8</sup> J
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===13. Question===
 
===13. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
140 kg
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===14. Question===
 
===14. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
130 N
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===15. Question===
 
===15. Question===
 
<blockquote>
 
<blockquote>
Line 123: Line 129:
 
===17. Question===
 
===17. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
2.1 N * s
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===18. Question===
 
===18. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a.) 4.6 x 10<sup>2</sup>kg * m/s (East)
 +
b.) -4.6 x 10<sup>2</sup>kg * m/s (West)
 +
c.) +4.6 x 10<sup>2</sup>kg * m/s (East)
 +
d.) 6.1 x 10<sup>2</sup> N (East)
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===19. Question===
 
===19. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a.) 5.0 N
 +
b.) 83 m/s
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===20. Question===
 
===20. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
69 m
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===21. Question===
 
===21. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
1.23 m/s,  4.93 m/s
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===22. Question===
 
===22. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
-1.00 m/s(rebound), 2.00 m/s
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===23. Question===
 
===23. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
-3.00 m/s(rebound), 2.00 m/s
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===24. Question===
 
===24. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
0.70 m/s, 2.20 m/s
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===25. Question===
 
===25. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a) 1.8 m/s
 +
b) 1.1 kg
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===26. Question===
 
===26. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a) 3.62 m/s, 4.42 m/s
 +
b) -396 kgm/s, 396 kgm/s
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===27. Question===
 
===27. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a) 0.840 kg
 +
b) 0.750
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===28. Question===
 
===28. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
.28 m, 1.1 m
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===29. Question===
 
===29. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a)
 +
b) v1=-v1, v2=0
 +
c) v1=v1, v2=2v1
 +
d) v1=0, v2=v1
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===30. Question===
 
===30. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
0.61 m
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===31. Question===
 
===31. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a) +M/(m+M)
 +
b) 0.964
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===32. Question===
 
===32. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
KE(heavier)= 3000J, KE(lighter)= 4500J
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===33. Question===
 
===33. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
v = 15 m/s (54 kh/h)
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===34. Question===
 
===34. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a)
 +
b)e = (h`/h)1/2
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===35. Question===
 
===35. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
9
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===36. Question===
 
===36. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a) v1 = v2 = 1.9 m/s
 +
b) v1 = -1.6 m/s, v2 = 7.9 m/s
 +
c) v1 = 0, v2 = 5.2 m/s
 +
d) v1 = 3.1 m/s, v2 = 0
 +
e) v1 = -4.0 m/s, v2 = 12 m/s
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===37. Question===
 
===37. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
1.08E-22 kgm/s
 +
angle) 30.1 degrees
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===38. Question===
 
===38. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
1) 60 degrees
 +
2) 6.7 m/s
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===39. Question===
 
===39. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a)
 +
b) 0.808 m/s, 33.0 degrees
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===40. Question===
 
===40. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a) 30. degrees
 +
b) v1 = v/square root of 3
 +
c) 2/3
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===41. Question===
 
===41. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
141 degrees
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===42. Question===
 
===42. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a) 3.47 m/s
 +
b) 11.9 m/s
 +
c) 3.29 degrees
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===43. Question===
 
===43. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
angle1 =76 degrees, Vn=5.1E5 m/s, Vhe = 1.8E5 m/s
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===44. Question===
 
===44. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a = 0 degrees, V1 = 3.7 m/s, 2.0 m/s
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===45. Question===
 
===45. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
page 104 (picture)
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===46. Question===
 
===46. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
6.5E-11 m
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===47. Question===
 
===47. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
2.74 m
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===48. Question===
 
===48. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
3.83L0
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===49. Question===
 
===49. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
East) 1.10 m
 +
South) -1.10 m
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===50. Question===
 
===50. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
1.2L , .9L
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===51. Question===
 
===51. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
along the line joining the centers 0.07 R outside the hole.
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===52. Question===
 
===52. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
12 kg
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===53. Question===
 
===53. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
19% of height
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===54. Question===
 
===54. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
X) 22 cm
 +
Y) 7.6 cm
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===55. Question===
 
===55. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
9.4% of the body weight; Yes
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===56. Question===
 
===56. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
4.66 x 10<sup>6</sup> m
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===57. Question===
 
===57. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a.) 6.2 m b.) 3.4 m c.) 3.8 m
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===58. Question===
 
===58. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
24.8 cm
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===59. Question===
 
===59. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
a.) 7D/3, or 2D/3 to the launch site. b.) 5D, or 2D farther from the launch
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===60. Question===
 
===60. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
the balloon will also stop.
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===61. Question===
 
===61. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
8.3 x 10<sup>2</sup> N ; about the same
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===62. Question===
 
===62. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
V = 8.16 m/s
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===63. Question===
 
===63. Question===
 
<blockquote>
 
<blockquote>
Solution goes here
+
1.4 x 10<sup>4</sup> N ; 43.3<sup>o</sup>
 
</blockquote>
 
</blockquote>
 
[[#top | Table of Contents]]
 
[[#top | Table of Contents]]
 
----
 
----
 +
 
===64. Question===
 
===64. Question===
 
<blockquote>
 
<blockquote>
Line 482: Line 560:
 
----
 
----
 
===77. Question===
 
===77. Question===
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===78. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===79. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===80. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===81. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===82. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===83. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===84. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===85. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===86. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===87. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===88. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===89. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===90. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===91. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===92. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===93. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===94. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===95. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===96. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===97. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===98. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===99. Question===
 
<blockquote>
 
Solution goes here
 
</blockquote>
 
[[#top | Table of Contents]]
 
----
 
===100. Question===
 
 
<blockquote>
 
<blockquote>
 
Solution goes here
 
Solution goes here

Latest revision as of 12:36, 2 March 2009

Main Page > Giancoli Physics (5th ed) Solutions > Giancoli Physics (5th ed) Chapter 7

Problems

1. Question

0.18 kg * m/s

Table of Contents


2. Question

-0.720 m/s (opposite the direction of the package)

Table of Contents


3. Question

5.2x107 N, up

Table of Contents


4. Question

V = 4.8 m/s

Table of Contents


5. Question

V = 12.3 m/s

Table of Contents


6. Question

M2 = 1.6x104 kg

Table of Contents


7. Question

0.491 m

Table of Contents


8. Question

v = 5.1x102 m/s

Table of Contents


9. Question

6.7x103 m/s

Table of Contents


10. Question

4.2x103 m/s

Table of Contents


11. Question

0.39 m/s

Table of Contents


12. Question

a.) 4.70 x 103 m/s b.) 5.90 x 108 J

Table of Contents


13. Question

140 kg

Table of Contents


14. Question

130 N

Table of Contents


15. Question

1.32x104 N

Table of Contents


16. Question

(a) 2.0 N * s
(b) 4.0x102 N

Table of Contents


17. Question

2.1 N * s

Table of Contents


18. Question

a.) 4.6 x 102kg * m/s (East) b.) -4.6 x 102kg * m/s (West) c.) +4.6 x 102kg * m/s (East) d.) 6.1 x 102 N (East)

Table of Contents


19. Question

a.) 5.0 N b.) 83 m/s

Table of Contents


20. Question

69 m

Table of Contents


21. Question

1.23 m/s, 4.93 m/s

Table of Contents


22. Question

-1.00 m/s(rebound), 2.00 m/s

Table of Contents


23. Question

-3.00 m/s(rebound), 2.00 m/s

Table of Contents


24. Question

0.70 m/s, 2.20 m/s

Table of Contents


25. Question

a) 1.8 m/s b) 1.1 kg

Table of Contents


26. Question

a) 3.62 m/s, 4.42 m/s b) -396 kgm/s, 396 kgm/s

Table of Contents


27. Question

a) 0.840 kg b) 0.750

Table of Contents


28. Question

.28 m, 1.1 m

Table of Contents


29. Question

a) b) v1=-v1, v2=0 c) v1=v1, v2=2v1 d) v1=0, v2=v1

Table of Contents


30. Question

0.61 m

Table of Contents


31. Question

a) +M/(m+M) b) 0.964

Table of Contents


32. Question

KE(heavier)= 3000J, KE(lighter)= 4500J

Table of Contents


33. Question

v = 15 m/s (54 kh/h)

Table of Contents


34. Question

a) b)e = (h`/h)1/2

Table of Contents


35. Question

9

Table of Contents


36. Question

a) v1 = v2 = 1.9 m/s b) v1 = -1.6 m/s, v2 = 7.9 m/s c) v1 = 0, v2 = 5.2 m/s d) v1 = 3.1 m/s, v2 = 0 e) v1 = -4.0 m/s, v2 = 12 m/s

Table of Contents


37. Question

1.08E-22 kgm/s angle) 30.1 degrees

Table of Contents


38. Question

1) 60 degrees 2) 6.7 m/s

Table of Contents


39. Question

a) b) 0.808 m/s, 33.0 degrees

Table of Contents


40. Question

a) 30. degrees b) v1 = v/square root of 3 c) 2/3

Table of Contents


41. Question

141 degrees

Table of Contents


42. Question

a) 3.47 m/s b) 11.9 m/s c) 3.29 degrees

Table of Contents


43. Question

angle1 =76 degrees, Vn=5.1E5 m/s, Vhe = 1.8E5 m/s

Table of Contents


44. Question

a = 0 degrees, V1 = 3.7 m/s, 2.0 m/s

Table of Contents


45. Question

page 104 (picture)

Table of Contents


46. Question

6.5E-11 m

Table of Contents


47. Question

2.74 m

Table of Contents


48. Question

3.83L0

Table of Contents


49. Question

East) 1.10 m South) -1.10 m

Table of Contents


50. Question

1.2L , .9L

Table of Contents


51. Question

along the line joining the centers 0.07 R outside the hole.

Table of Contents


52. Question

12 kg

Table of Contents


53. Question

19% of height

Table of Contents


54. Question

X) 22 cm Y) 7.6 cm

Table of Contents


55. Question

9.4% of the body weight; Yes

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56. Question

4.66 x 106 m

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57. Question

a.) 6.2 m b.) 3.4 m c.) 3.8 m

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58. Question

24.8 cm

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59. Question

a.) 7D/3, or 2D/3 to the launch site. b.) 5D, or 2D farther from the launch

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60. Question

the balloon will also stop.

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61. Question

8.3 x 102 N ; about the same

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62. Question

V = 8.16 m/s

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63. Question

1.4 x 104 N ; 43.3o

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64. Question

Solution goes here

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65. Question

Solution goes here

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66. Question

Solution goes here

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67. Question

Solution goes here

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68. Question

Solution goes here

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69. Question

Solution goes here

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70. Question

Solution goes here

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71. Question

Solution goes here

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72. Question

Solution goes here

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73. Question

Solution goes here

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74. Question

Solution goes here

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75. Question

Solution goes here

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76. Question

Solution goes here

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77. Question

Solution goes here

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