Answer to Question #299648 in Classical Mechanics for Mafydre

Question

A 10Mg truck rolling at a constant speed of 30 kph along a horizontal rail comes to an incline of slope sin 0.1. Calculate how far it will coil up the slope before coming to a halt, (a) ignoring all resistive forces, and (b) assuming the rolling vesistance is 5% of the normal reaction of the truck

Answer 1

a)

$\frac{mv^2}2=mgh,$

$h=\frac{v^2}{2g},$

$l=\frac h{0.1}=35 .4~m,$

b)

$\frac{mv^2}2=mgh+Fl,$

$\frac{mv^2}2=0.1mgl+0.05mg\frac{3\sqrt{11}}{10}l,$

$l=23.7~m.$