Golf balls have had dimples in them for well over a century after it was first discovered that dimpled balls could be driven farther. Now we know that the dimples trip up the boundary layer and establish turbulence sooner. As a result, they reduce drag. If the drag coefficient on a golf ball can be adequately represented by:

\[C_{D}=0.253+0.236 \exp \left(\frac{R e_{D}-37430}{6685}\right)\]

compare the drag force on a \(3 \mathrm{~cm}\) golf ball with that on a similar, but smooth ping pong ball, assuming both are flying through the air at \(300 \mathrm{~K}\) and \(15 \mathrm{~m} / \mathrm{s}\).