solve a spiral spring has a length of 14cm when a force of 4n is hung on it a force of 6n extends the spring by 4cm calculate the unstretched length of the spring

Answer 1

Let the unstretched length of the spring be represented by L.

According to Hooke's Law, the extension of a spring is directly proportional to the applied force. Therefore, we can use the formula:

F = kx

Where:
F = Force applied (N),
k = Spring constant,
x = Extension of the spring (m).

For the first scenario:
4N = k(0.14m)
k = 4N / 0.14m
k = 28.57 N/m

For the second scenario:
6N = 28.57 N/m * (0.14m + 0.04m)
6N = 28.57 N/m * 0.18m
m = 6N / 5.14 N/m
m = 0.21m

Therefore, the unstretched length of the spring is:
L = 0.14m - 0.21m
L = 0.07m
L = 7cm

So, the unstretched length of the spring is 7cm.