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
2020-10-13T07:08:42-0400
Solution
Friction force is given by
F=μN=μmg
where N is normal force.
Using energy conservation
Fd=ΔKE=2mv2
d=2Fmv2=2μmgmv2
d=2μgv2
This equation clearly shows that distance d does not depend on mass.
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