Answer:
F = 2.5 N
Step-by-step explanation:
The force that produces an extension of 2.5 cm in a spring depends on the spring constant, which is a measure of the stiffness of the spring. The force required to extend or compress a spring by a certain amount is given by Hooke's law, which states that the force is proportional to the displacement:
F = k*x
where F is the force, x is the displacement or extension of the spring, and k is the spring constant.
If we know the spring constant, we can calculate the force required to produce an extension of 2.5 cm using the equation above.
For example, if the spring constant is 100 N/m, then the force required to produce an extension of 2.5 cm would be:
F = k*x
F = (100 N/m)*(0.025 m)
F = 2.5 N
Therefore, a force of 2.5 N would produce an extension of 2.5 cm in a spring with a spring constant of 100 N/m