5kg steel ball is dropped onto a copper plate from aheight of 10m. If the ball leaves a dent 3.2mm deep, what is theaverage force exerted by the plate on the ball during impact?

Using conservation of energy

\(\displaystyle{K}_{{i}}+?{W}={K}_{{f}}\)

\(\displaystyle{0}+{\left[{F}_{{g}}\triangle{y}{\cos{{0}}}+{F}_{{p}}\triangle{x}{\cos{{180}}}\right]}={0}\)

\(\displaystyle{0}+{m}{g{{\left({10}\right)}}}-{F}_{{p}}{\left({0.00320}\right)}={0}\)

Or \(\displaystyle{F}_{{p}}={1.53}\cdot{10}^{{5}}\)

Using conservation of energy

\(\displaystyle{K}_{{i}}+?{W}={K}_{{f}}\)

\(\displaystyle{0}+{\left[{F}_{{g}}\triangle{y}{\cos{{0}}}+{F}_{{p}}\triangle{x}{\cos{{180}}}\right]}={0}\)

\(\displaystyle{0}+{m}{g{{\left({10}\right)}}}-{F}_{{p}}{\left({0.00320}\right)}={0}\)

Or \(\displaystyle{F}_{{p}}={1.53}\cdot{10}^{{5}}\)