A coiled spring in a waist trimming excercise requires a force of 54N to compress it by 0.20.find the force constant of the spring
To find the force constant (k) of the spring, we can use Hooke's Law, which states that the force required to compress or extend a spring is directly proportional to the displacement.
Hooke's Law equation is given by:
F = k * x
Where:
F = Force applied to the spring (in Newtons)
k = Force constant (in Newtons per meter)
x = Displacement of the spring (in meters)
In this case, we are given:
F = 54N (Force applied to compress the spring)
x = 0.20m (Displacement of the spring)
Substituting the given values into the formula, we get:
54N = k * 0.20m
To isolate k, we divide both sides of the equation by 0.20m:
k = 54N / 0.20m
Calculating this expression, we can determine the force constant (k):
k = 270 N/m
Therefore, the force constant (k) of the spring is 270 Newtons per meter.
To find the force constant (k) of the spring, we can use Hooke's Law, which states that the force required to compress or extend a spring is directly proportional to the change in its length. The equation for Hooke's Law is:
F = k * x
Where:
F is the force applied to the spring
k is the force constant (also known as the spring constant)
x is the change in length of the spring
In this case, we are given that the force required to compress the spring is 54 N (F) and the change in length (x) is 0.20 m. We can rearrange the equation to solve for the force constant:
k = F / x
Plugging in the given values:
k = 54 N / 0.20 m
k = 270 N/m
So, the force constant (k) of the spring is 270 N/m.
F = k x
54 = k * 0.20
k = 54 * 5