Question

A spring (spring constant = k) is cut into 4 equal parts. If these 4 parts of
spring are connected in series. What is the effective spring constant :
(a)k (b) 4k (c) k/4 d) 8k​

Answer 1

Answer:

a) k

Explanation:

Because, Spring constant ∝ 1/(length)

Because,

length gets 1/4.

Spring constant of each part will be 4×k = 4k = k1(Let).

Now, all parts are connected in series.

1/keff. = 1/k1 + 1/k2 + 1/k3 + 1/k4 = 4/k1 (As all parts are of same length)

=> 1/keff = 4/k1 = 4/4k = 1/k

=> keff. = k