A hammer of mass m falls from rest off of a roof and drops a height H onto your head. a) Assuming that the tool is in actual contact with your head for a time △t before it stops and slides off, what is the algebraic expression for the average force it exerts on your skull while stopping?
For conservation of energy we have to: mgH=mv²/2 Clearing v=sqrt(2gH) Then, by definition F=Δp/Δt= Δ(mv)/ Δt=m Δ(v)/Δt= =m[sqrt(2gH)-0]/Δt= m[sqrt(2gH)]/ Δt the answer is F=m[sqrt(2gH)]/ Δt
