Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Chapter 2, Problem 34Q
(Indicates a review question, which means it requires only a basic understanding of the material to answer. Questions without this designation typically require integrating or extending the concepts presented thus far.)
. A mass m is attached to a spring with spring constant k, as shown in Figure 2.53. The mass is pulled to the right a distance of 0.2 m and released. Rank the following spring-mass combinations according to their oscillation periods from shortest to longest. If any combinations have the same period, give them the same rank. You should assume that there is no friction between the mass and the horizontal surface.
| (a) k = |
0.5 |
N/m: |
m | 0.25 |
kg |
|
| (b) k = |
0.5 |
N/m: |
m | 0.50 |
kg |
|
| (c) k = |
0.5 |
N/m; |
m | 1.00 |
kg |
|
| (d) k = |
1.0 |
N/m: |
m | 0.25 |
kg |
|
| (e) k = |
1.0 |
N/m: |
m | 0.50 |
kg |
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Taking a Hike
A hiker begins a trip by first walking 21.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 46.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger's tower.
y (km)
Can
N
W-DE
45.0°
60.0°
Tent
Tower
B
x (km)
☹
(a) Determine the components of the hiker's displacement for each day.
SOLUTION
Conceptualize We conceptualize the problem by drawing a sketch as in the figure. If we denote the displacement vectors on the first and second days by A and B, respectively, and use the ---Select-- as the origin of coordinates, we obtain the vectors shown in the figure. The sketch allows us to estimate the resultant vector as shown.
Categorize Drawing the resultant R, we can now categorize this problem as one we've solved before: --Select-- of two vectors. You should now have a hint of the power of categorization in that many new problems are very similar to problems we have already solved if we are…
Chapter 2 Solutions
Inquiry into Physics
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