A load of steel of mass 6000 kg rests on the flatbed of a truck. It is held in place by metal brackets that can exert a maximum horizontal force of 8000N. When the truck is traveling 20.0 m/s, what is the minimum stopping distance if the load is not to slide forward into the cab?
First find the acceleration in the negative x direction the brackets can exert which is given by
`rArr a=8000/6000=-1.33 m/s^2`
Then the time required to stop the truck without exceeding this acceleration can be determined from `v_f=v_o +at`
`rArr t=20/1.33=15.03 s`
The minimum stopping distance can be calculated using:
`rArr s=150.375 m`
Therefore, the minimum stopping distance if the load is not to slide forward into the cab is 150.375 m.