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

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asked 2021-04-24
A 5kg steel ball is dropped onto a copper plate from a heightof 10m. If the ball leaves a dent 3.2mm deep, what is the averageforce exerted by the plate on the ball during impact?

Answers (1)

2021-04-26
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 \(\displaystyle{F}_{{p}}={1.53}\cdot{10}^{{5}}\)
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