Answer to Question #135420 in Mechanics | Relativity for Mac Evans

Question #135420
The driver of a speeding empty truck slams on the brakes and slows down to a stop through a distance d. On a second trial, the truck carries a load that doubles its mass. What distance will the loaded truck cover to come to rest, when it is moving at the same speed and the brakes are slammed?
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Expert's answer
2020-10-15T03:13:54-0400

Empty truck:

d=v22ad=\frac{v^2}{2a}

F=ma=mv22dF=ma=m\frac{v^2}{2d}


The truck with load (m=3m)m'=3m) :

d=v22ad'=\frac{v'^2}{2a'}

F=3ma=3mv22dF'=3ma'=3m\frac{v^2}{2d'}


Then F=FF=F'


mv22d=3mv22dm\frac{v^2}{2d}=3m\frac{v^2}{2d'}


3d=1d\frac{3}{d'}=\frac{1}{d} where d=3dd'=3d


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