Question

Blocks $A$ and $B$ of mass $m$ each are connected with spring of constant $k$. Both blocks lie on frictionless ground are imparted horizontal velocity $v$ as shown when spring unstretched. Find the maximum stretch of spring.

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

Answer 1

The correct option is A $v\sqrt{\frac{m}{k}}$

Potential energy =Kinetic Energy

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