8. What will be the extension of a spring of K = 10 N/m, if the load is 75g?

The extension of the spring is 7.35 cm

Explanation:

Spring Force

When a spring is compressed or extended by a distance x, it exerts a force given by the Hooke's Law:

F=k.x

Where k is the constant of the spring.

A mass of m=75 gr is hung to the spring of constant k=10 N/m. The force applied to the spring is the weight of the mass:

W = mg

The mass must be converted to kg:

m = 75/1000 = 0.075 kg

W=0.075*9.8

W = 0.735 N

The extension of the spring can be computed by solving for x:

x=0.0735 m

x = 7.35 cm

The extension of the spring is 7.35 cm