Question

A 4 kg roller is attached to a massless spring of spring constant k=100 N/m. It rolls without slipping along a frictionless horizontal road. The roller is displaced from its equilibrium position by 10cm and the released. Its maximum speed will be

• A. 0.5 ms${}^{-1}$
• B. 0.6 ms${}^{-1}$
• C. 0.4 ms${}^{-1}$
• D. 0.8 ms${}^{-1}$

Answer 1

The correct option is A 0.5 ms${}^{-1}$

By energy conservation, we have,

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

$\frac{1}{2}\times 4\times v_{max}^2=\frac{1}{2}\times 100\times (\frac{1}{10}{)}^2$

$v_{max}=0.5m/s$