A spring of natural length 1.50m by a force of 0.80N,. What will it be its extension when the allied force is 3.20N
To determine the extension of a spring, you can use Hooke's Law. Hooke's Law states that the force exerted by a spring is directly proportional to its extension. The formula for Hooke's Law is:
F = kx
Where:
F = Force applied to the spring
k = Spring constant
x = Extension of the spring
To find the extension of the spring when the applied force is 3.20N, you need to find the spring constant first. The spring constant is a property of the spring and can be determined using the formula:
k = F / x
Where:
k = Spring constant
F = Force applied to the spring
x = Extension of the spring
Given that the natural length of the spring is 1.50m and the applied force is 0.80N, we can calculate the spring constant as follows:
k = 0.80N / 1.50m
k ≈ 0.53 N/m
Now, we can use the spring constant to find the extension of the spring when the applied force is 3.20N:
F = kx
Rearranging the formula to solve for x:
x = F / k
x = 3.20N / 0.53 N/m
x ≈ 6.04 m
Therefore, the extension of the spring when the applied force is 3.20N would be approximately 6.04m.