Question

. a locomotive of 60-tonne mass pulls some carriage of total mass 240 tonnes a distance of half a kilometers up a 1 in 200 inclines with an acceleration of 0.2m/s². if the overall rolling resistance is 5% of the 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

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