Why is the following situation impossible? Your job involves building very small damped oscillators. One of your designs involves a spring$-$object oscillator with a spring of force constant k $=10\mathrm{.}0$ N$/$m and an object of mass m $=1\mathrm{.}00$ g$.$ Yourdesign objective is that the oscillator undergo many oscillations as its amplitude falls to $25\mathrm{.}0\%$ of its initial value in a certain time interval. Measurements on your latest design show that the amplitude falls to the $25\mathrm{.}0\%$ value in $23\mathrm{.}1$ ms$.$This time interval is too long for what is needed in your proj$-$ect. To shorten the time interval, you double the damping constant b for the oscillator. This doubling allows you to reach your design objective.