A force 0.8n stretch an elastic spring by 2cm find the elastic constant of the spring
The elastic constant of a spring, also known as the spring constant, is a measure of how stiff the spring is and is represented by the symbol k. It is defined as the force required to stretch or compress the spring by a unit distance.
In this case, we are given a force F = 0.8 N that stretches an elastic spring by a distance x = 2 cm = 0.02 m.
According to Hooke's Law, the force required to stretch or compress a spring is directly proportional to the distance it is stretched or compressed. Mathematically, this can be expressed as:
F = k * x
Where F is the force applied, k is the spring constant, and x is the displacement or stretch.
Rearranging the equation to solve for k, we have:
k = F / x
Plugging in the given values, we get:
k = 0.8 N / 0.02 m = 40 N/m
Therefore, the elastic constant (spring constant) of the spring is 40 N/m.