Question

A 40 cm long spring becomes 47 cm when a load of 10 N hangs from its free end. Determine the force constant of the spring

Answer 1

Answer:

142.86 N/M

Explanation:

Let F be the force applied on the spring , e be the extension of the spring and k be the spring constant.

We have the formula as follows :

k = F/e

The F is in Newtons, e is in meters.

From the question :

F = 10 N

e = 47 - 40 = 7 cm

We convert this to meters.

1 meter = 100 cm

= 7/100 = 0.07 meters

Doing the substitution we have :

k = F/e = 10/0.07 = 142.86 N/M

The spring constant is therefore:

= 142.86 N/M