Final answer:
The spring constant k for a spring that is stretched by 1 meter when a force of 3 Newtons is applied is calculated using Hooke's law as 3 N/m.
Step-by-step explanation:
To calculate the spring constant k when a force of 3 N stretches a spring by 1m, we can use Hooke's law, which states that the force F exerted by a spring is directly proportional to the displacement x from its equilibrium position, which can be represented mathematically as F = kx.
Here, the force F is given as 3 N, and the displacement x is given as 1 m. To find the spring constant k, we simply rearrange the equation to k = F/x, and substitute the given values.
After substituting, we get k = 3 N / 1 m, which simplifies to k = 3 N/m.
Therefore, the spring constant k is 3 Newtons per meter.