Answer to Question #298888 in Physics for Jobbie

Question

a locomotive of 60 tonne mass pull some carriages of total mass 240 tonne, a distance of half a kilometre up a 1 in 200 incline with an acceleration of 0.2ms^-2. if the overall rolling resistance is 5% of a normal reaction, what is the total work done?

Answer 1

Given:

$m=\rm 60\: t+240\: t=300\: t=3*10^5\: kg$

$d=500\:\rm m$

$\sin\theta=1/200$

$a=0.2\:\rm m/s^2$

$\mu=0.05$

The net force

$$F=ma=3*10^5*0.2=6*10^4\:\rm N$$

The total work done

$$W=Fd=6*10^4\:\rm N*500\: m=3*10^7\:\rm J$$