The spring constant will be k= 5.5N/m for a 200g air track glider attached to a spring.
The spring constant, k, is a measure of the stiffness of the spring. It is different for different springs and materials.
Calculation for What is the spring constant
First step is to calculate the time period
T = 12 second/10
T = 1.2 second
Now let calculate the spring constant using this formula
[tex]k=\dfrac{4\pi ^2m}{T^2}[/tex]
Where,
m=0.2kg
T=1.2second
k represent spring constant=?
Let plug in the formula
[tex]k=\dfrac{4 \pi \times 0.2}{(1.2)^2}[/tex]
[tex]k=\dfrac{39.48\times 0.2}{1.44}[/tex]
[tex]k=\dfrac{7.90}{1.44}[/tex]
k=5.48 N/m
k=5.5 N/m ( Approximately)
Therefore the spring constant will be 5.5 N/m
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