Question

A block of mass 1 Kg is connected with a fixed wall through a light spring of constant K = 100 n/m. The surface are frictionless. Initially spring is in relaxed position. A horizontal force F of 50 N is applied on the block. Find the maximum elongation of the spring.

Answer 1

Given that,

Mass $m=1kg$

Spring constant $K=100N/m$

Force $F=50N$

Now, the work done by force will store as spring energy

$F\cdot x=\frac{1}{2}k{x}^2$

$x=\frac{2F}{K}$

$x=\frac{2\times 50}{100}$

$x=1m$

Hence, the maximum elongation of the spring is $1m$