Question

A spring of spring constant 25 N/m is hung vertically and a 0.300 kg mass is attached to one end, causing a displacement of the end of the spring of _____ m.

a. 0.01
b. 0.12
c. 0.77
d. all of the above

Answer 1

The displacement of the spring is 0.12 m.

Step-by-step explanation:

Given;

spring constant, k = 25 N/m

mass attached to the spring, m = 0.300 kg

displacement of the spring, x = ?

Apply Hook's law, weight of the mass attached (applied force) is directly proportional to the extension of the spring.

F = kx

mg = kx

0.3 x 9.8 = 25x

2.94 = 25x

x = 2.94 / 25

x = 0.12 m

Therefore, the displacement of the spring is 0.12 m.