Calculate the extension of a spring that would be produced by a 20N load by a 15N load extends the spring by 3cm?
force = (spring constant) * extension
To calculate the extension of a spring, you need to use Hooke's Law, which states that the force applied to a spring is directly proportional to the extension of the spring. The formula for Hooke's Law is:
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 extension of the spring (in meters)
To find the extension of the spring produced by a 20N load when a 15N load extends the spring by 3cm, we can set up the following equation:
20N = k * x
Now, let's find the spring constant (k) by using the given information that a 15N load extends the spring by 3cm:
15N = k * 0.03m
To find k, divide both sides of the equation by 0.03m:
k = 15N / 0.03m
k = 500N/m
Now, substitute the value of k into our previous equation:
20N = 500N/m * x
To solve for x, divide both sides of the equation by 500N/m:
x = 20N / 500N/m
x = 0.04m
So, the extension of the spring produced by a 20N load when a 15N load extends the spring by 3cm is 0.04 meters (or 4 centimeters).