![mecennabosaaen](/avatars/1691.jpg)
mecennabosaaen
06.10.2021 •
Physics
Which family of elements likes to pair with the Halogens (Group 17) and why? Please help
Solved
Show answers
More tips
- S Science and Technology Exploring Our Galaxy: How Many Planets are in the Milky Way?...
- S Science and Technology Colliders: How They Work and Why They Matter...
- A Animals and plants Unraveling the Mystery of Loch Ness: What Does the Loch Ness Monster Look Like?...
- L Leisure and Entertainment How Many Seasons are There in the TV Show Interns?...
- S Sport Playing Bowling: Rules and Advice for Novices...
- L Leisure and Entertainment The Best Film of 2010: A Look Back at the Academy Awards...
- S Sport How to Learn Swimming? Simple Tips for Beginners...
- C Computers and Internet What is Web 2.0 and How Does it Work?...
- C Computers and Internet War of Social Media: Which Platform is the Leader?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
Answers on questions: Physics
- H History Write an essay in which you evaluate efforts to reform American Society during the Progressive Era. In your essay be certain to: •Describe the role of muckrakers on affecting change...
- H Health How often should you use deep, relaxing breathing techniques? a. only when you ve gotten enough sleep b. no more than twice a day c. every day d. only during periods of stress...
- C Computers and Technology Computer science bool(-1) will give output as?...
- M Mathematics What are the angle measures photo provided.....
Ответ:
a) k = 40 N/m
b) See attachment
c) Amp y = 0.1 m , T_a = 0.67 s
d) T_theo = 0.62831
e) RE = 6.63 %
Explanation:
Given:
- mass of the spring m = 0.4 kg
- Displacement - time values
- Force-displacement graph
Find:
a. Determine the spring constant from the graph.
b. Make a position vs. time graph for the spring’s motion.
c. Determine the amplitude and period of the spring’s motion from your graph.
d. Calculate the period of the spring’s motion using the spring’s period equation.
e. Determine the percent error by comparing the period from the graph (experimental value) to the calculated value (accepted value).
Solution:
a)
- Use the Force-displacement graph and pick two points on the line A and B:
A = ( 0.006 , 1.78 ) & B = ( 0.083, 4.75 )
- We know from Hook's Law that:
y = k*x
k = y/x ------ gradient of the plot will give us the constant k
- So,
k = (y_2 - y_1) / (x_2 - x_1)=(4.75-1.78)/(0.083-0.006)=40 N/m
b) See attachment
c) Using the plot of b:
The maximum amplitude of displacement y = 0.1 m
The time period of the displacement T_a = 2 s / 3 cycles = 0.67s
d)
- The formula for computing time period is:
T_theo = 2*pi*sqrt(m/k)
T_theo = 2*pi*sqrt(0.4/40) = 0.62831 s
e)
- Comparing values by computing the relative error:
RE = ( T_a - T_theo) / T_theo * 100
RE = (0.67 - 0.62831) / 0.62831 * 100 = 6.63 %
- The value obtained is within the 10% tolerance of experimental Error. Hence, we can conclude that the experiment was conducted reasonably.