A force of 0.8n stretches an elastic spring by 20m. Find the elastic constant of the spring
To find the elastic constant of the spring, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement of the spring.
Hooke's Law equation: F = k * x
Where:
- F is the force applied to the spring (0.8 N in this case)
- k is the elastic constant (the value we want to find)
- x is the displacement or stretch of the spring (20 cm or 0.20 m in this case)
We can rearrange the equation to solve for the elastic constant (k):
k = F / x
Now, we can substitute the known values into the equation:
k = 0.8 N / 0.20 m
Calculating this:
k = 4 N/m
Therefore, the elastic constant (k) of the spring is 4 N/m.