Answer :
The measured length of the spring when a mass of 186 g is placed on it is 20.28 cm.
We can use Hooke's law to find the spring constant:
F = -kx
where F is the force applied to the spring, x is the displacement of the spring, and k is the spring constant.
When a mass of 80 g is placed on the spring, the force applied is:
F = mg = (0.08 kg)(9.81 m/s^2) = 0.7848 N
The displacement of the spring is:
x = 8.7 cm = 0.087 m
So we can solve for the spring constant:
k = -F/x = -0.7848 N / 0.087 m = -9 N/m
Now we can use the spring constant to find the new displacement when a mass of 186 g is placed on the spring:
F = mg = (0.186 kg)(9.81 m/s^2) = 1.825 N
x = F/k = 1.825 N / (-9 N/m) = -0.2028 m
Note that the negative sign indicates that the displacement is downward. We can convert this to a positive displacement by taking the absolute value:
x = 0.2028 m
Therefore, the measured length of the spring when a mass of 186 g is placed on it is 20.28 cm.
learn more about spring here
https://brainly.com/question/14670501
#SPJ1
