Problem $15($Halliday Problem $15\mathrm{.}60)$

The suspension system of a $2000$ kg automobile "sags" $10$ cm when the chassis is placed on it$.$ Also, the oscillation amplitude decreases by $50\%$ each cycle. Estimate the values of $($a$)$ the spring constant $k$ and $($b$)$ the damping constant $b$ for the spring and shock absorber system of one wheel, assuming each wheel supports $500$ kg $.$