Consider a spring and block system
k= 18 N/m
x initial = o m
x final = 0.08m
Useing Hooke's law to calculate the force needed to stretch this spring 8 cm.
F = k x = 18 * .08
To calculate the force needed to stretch a spring, we can use Hooke's Law, which states that the force applied to a spring is directly proportional to the displacement of the spring from its equilibrium position.
Hooke's Law can be mathematically represented as follows:
F = -k * x
Where:
- F is the force applied to the spring (in newtons).
- k is the spring constant (in newtons per meter).
- x is the displacement of the spring from its equilibrium position (in meters).
In this case, the spring constant (k) is given as 18 N/m, and the displacement of the spring (x) is given as 0.08 m. We need to convert the displacement from centimeters to meters before calculating the force.
So, x = 0.08 m
Now we can substitute the values into Hooke's Law equation to calculate the force:
F = -(18 N/m) * (0.08 m)
F = -1.44 N
Therefore, the force needed to stretch the spring 8 cm is 1.44 N.