Here is a table of the force applied to a spring and the resulting extension, l.
ID: 1468973 • Letter: H
Question
Here is a table of the force applied to a spring and the resulting extension, l.
Plot a graph of force vs. extension on graph paper.
Spring constant = 2218N/m
1. What is the minimum tension required to start stretching the spring?
and............
2. What is the period of oscillation? List all the true statements (for example, if A and C are true, enter AC). The period of oscillation is:
A)The time the system takes to go from the point of equilibrium and return to the same point.
B)Four times the time the system takes to go from minimum speed to maximum speed.
C)The time required for five complete oscillations, divided by 5.
D)The time the system takes for one complete oscillation.
Force (N) l (m) 294 0.10 378 0.15 726 0.30 1074 0.45 1158 0.50Explanation / Answer
The graph between force and extension is shown in the below figure.
(1)
Now extra plot the graph backward so that it cuts the x-axis as shown below.
It cuts the x-axis approximately at 125.
Therefore the minimum tension required for the spring to stretch is 125 N
(2)
Time period is the time taken for one complete oscillation. If is also the time taken for 'n' complete oscillations divided by the number of oscillations.
Also the system goes from maximum speed to minimum speed in one-fourth of the time period. Hence the time period can be expressed as four times the time the system takes to go from minimum speed to maximum speed.
But the system can come back to one equilibrium point in less than the time period.
Hence the correct option is BCD.
Note: If the statement A is like "The time the system takes to go from the point of equilibrium and return to the same point in Phase" then it is also time period.