A force of 85 N is required to compress the spring by 0.0200 m. How much force is needed to compress the spring by 0.0600 N?
3.
Three times as much
To find out how much force is needed to compress the spring by 0.0600 m, we can use Hooke's Law, which states that the force required to compress or extend a spring is directly proportional to the displacement from its equilibrium position.
Hooke's Law equation: F = -kx
Where:
F is the force applied to the spring
k is the spring constant
x is the displacement from the equilibrium position
Given information:
Force to compress the spring by 0.0200 m: F1 = 85 N
To find the spring constant (k), we can rearrange the equation as follows:
k = F1 / x
k = 85 N / 0.0200 m
k = 4250 N/m
Now we have the spring constant, we can use it to find the force required to compress the spring by 0.0600 m. Let's call this force F2.
F2 = k * x
F2 = 4250 N/m * 0.0600 m
F2 = 255 N
Therefore, the force needed to compress the spring by 0.0600 m is 255 N.