Question

A block of mass $m$ moving with velocity $v_{0}$ on a smooth horizontal surface hits the spring of constant $k$ as shown. The maximum compression in spring is

• A. $\sqrt{\frac{2 m}{k}} \cdot v_{0}$
• B. $\sqrt{\frac{m}{k}} \cdot v_{0}$
• C. $\sqrt{\frac{m}{2 k}} \cdot v_{0}$
• D. $\frac{m}{2 k} \cdot v_{0}$

Answer 1

Answer: (B)

$E_{i}=E_{f}$
$\frac{1}{2} m v_{0}^{2}=\frac{1}{2} k x^{2}$
$x=\sqrt{\frac{m}{k}} v_{0}$