Question

A $2kg$ block drops vertically from a height of $5m$ one spring whose force constant $K$ is $2\times {10}^6$ newton per meter. Then the maximum compression of the spring is:

• A. $4cm$
• B. $2.5cm$
• C. $1cm$
• D. $5cm$

Answer 1

The correct option is C $1cm$

By conservation of energy

$mgh=\frac{1}{2}k{x}^2$

$2\times 10\times 5=\frac{1}{2}2\times {10}^6{x}^2$

$x={10}^{-2}$$m=1cm$