Question

A $5$ kg collar is attached to a spring of spring constant $500N{m}^{-1}$. It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by $10$cm and released. The maximum acceleration of the collar is

• A. $5m{s}^{-2}$
• B. $10m{s}^{-2}$
• C. $15m{s}^{-2}$
• D. $20m{s}^{-2}$

Answer 1

Answer: (B)

$10m{s}^{-2}$

Maximum acceleration
$a_{max}={\omega }^{2}A=\frac{k}{m}A$

$\frac{500N{m}^{-1}}{5kg}\times 0.1m=10m{s}^{-2}$