- #1
emilypearson
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Homework Statement
A ceramic pot of mass 0.5 kg will break if it strikes the floor with an impact force equal
to, or greater than, 20 N. The collision lasts for 0.05 s. Find the minimum vertical height
from which, if dropped from rest, the pot will break upon impact with the floor (you
may ignore air resistance).
Homework Equations
Impulse=FΔt=Pfinal-Pinital
Fd=ΔKinetic energy
PE=mgh
KE=1/2mv2
The Attempt at a Solution
At a height h, the object has KE=0 and PE=mgh=0.5gh
At impact, the object has KE=1/2mv2=0.25v2 and PE=0
FΔt=Pf-Pi
However Pi=0 as the velocity is 0.
equation 1: 20*0.05=Pf=mv=0.5v
to find v:
1/2mv2=mgh
rearrange to give v=√2gh
back into equation 1:
1=0.52*2gh
h=1/0.52*2*9.81
h=0.2m
Is this correct? That doesn't seem big enough in order for the pot to break (thinking in real world terms)