A force of 100 newtons will stretch a spring 0.25 meters. How far will a force of 80 newtons stretch it?
To find out how far a force of 80 newtons will stretch the spring, we can use the formula for Hooke's Law:
F = kx
Where:
F = force applied (in newtons)
k = spring constant (in newtons per meter)
x = extension or compression of the spring (in meters)
Given that a force of 100 newtons stretches the spring by 0.25 meters, we can find the spring constant (k):
100 = k * 0.25
k = 100 / 0.25
k = 400 newtons per meter
Now, we can use this spring constant to find out how far a force of 80 newtons will stretch the spring:
80 = 400 * x
x = 80 / 400
x = 0.2 meters
Therefore, a force of 80 newtons will stretch the spring by 0.2 meters.