Two identical arrows,one with twice the speed of the other are fired into a bale of hay.The faster arrow will penetrate the bale

Question

Quizplus · Accepted Answer

The penetration depth is proportional to the kinetic energy of the arrow, which is given by $ \frac{1}{2}mv^2 $. If one arrow has twice the speed of the other, its kinetic energy, and thus its penetration depth, will be four times greater, because $ v^2 $ becomes $ (2v)^2 = 4v^2 $.

Two Identical Arrows,one with Twice the Speed of the Other