Question

Two blocks of mass $m$ each are connected to a spring of spring constant $k$ as shown in figure. The maximum displacement in the block is

• A. $\sqrt{\frac{2 m v^{2}}{k}}$
• B. $\sqrt{\frac{m v^{2}}{k}}$
• C. $2 \sqrt{\frac{m v^{2}}{k}}$
• D. $2 \sqrt{\frac{k}{m v^{2}}}$

Answer 1

Answer: (A)

$\frac{1}{2} k x^{2}=\frac{1}{2} m v^{2}+\frac{1}{2} m v^{2} =m v^{2} $
$x =\sqrt{\frac{2 m v^{2}}{k}} $