Answer to Question #136619 in Mechanics | Relativity for Giren

Question #136619
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?
1
Expert's answer
2020-10-13T07:08:42-0400

Solution

Friction force is given by

F=μN=μmgF=\mu N=\mu mg

where N is normal force.

Using energy conservation

Fd=ΔKE=mv22Fd=\Delta KE=\frac{mv^2}{2}

d=mv22F=mv22μmgd=\frac{mv^2}{2F}=\frac{mv^2}{2\mu mg}

d=v22μgd=\frac{v^2}{2\mu g}

This equation clearly shows that distance d does not depend on mass.

Therefore d remains same.


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