Final answer:
To show that the spring reaches its limit of proportionality at 8 newtons, you can perform an experiment by adding weights to the spring and measuring the resulting elongation. The force constant of the spring can be calculated using the formula F = kx, where F is the applied force and x is the elongation. In this case, the force constant is found to be 100 N/m.
Step-by-step explanation:
To show that the spring reaches its limit of proportionality at 8 newtons, you can perform an experiment by adding weights to the spring and measuring the resulting elongation.
Start with a 10.0 kg load and measure the spring stretch, which is 8.00 cm.
Next, calculate the force constant (k) of the spring using the formula F = kx, where F is the applied force and x is the elongation.
In this case, F = 8 N and x = 8.00 cm.
First, convert the elongation from cm to meters: 8.00 cm = 0.08 m.
Then, substituting the values into the formula gives: 8 N = k * 0.08 m.
Dividing both sides by 0.08 m gives:
k = 8 N / 0.08 m
= 100 N/m.
Therefore, the force constant of the spring is 100 N/m, indicating that it reaches its limit of proportionality when a force of 8 newtons is applied.