Minimum stopping distance problem

[Gashouse]

A load of steel of mass 6000kg rests on the flatbed of a truck. It is held in place by metal brackets that can exert a maximum horizontal force of 8000 N. When the truck is traveling 20 m/s, what is the minimum stopping distance if the load is not to slide forward into the cab?

 

[physics noob]

ok here how i did it,...im gettin an answer of 150m

first find the acceleration in the negative x direction the brackets can exert which is.
8000=(6000)a

a= -1.33


then find the time it takes to stop using v=vo +at

0= 20 + (-1.33) t t= 15sec


then find distance using x=xo +vot+.5at^2



x = 20(15) + .5(-1.33)(15)^2

x=150m

 

[Gashouse]

Thanks PN

Hey PHYSICS NOOB, I really appreciate the help. I worked the problem before coming on the forum and did'nt think that I was doing it correct. Thanks in advance again and for the fast response.