Answer to Question #222225 in Classical Mechanics for mazon47

Question

A locomotive with a mass of 3E5 is accelerating at 0.4m/s2 up an incline of 1 in 20. The rolling resistance is 20 kN of the locomotive. At the instant when the speed of the locomotive is 63 km/h, calculate:

6.1. The power required. (10)

6.2. The kinetic energy of the locomotive. (8)

Answer 1

$m = 3*10^5kg$

$a = 0.4\frac{m}{s^2}$

$F_{rol} = 20000N$

$v=63\frac{km}{h }=17.5\frac{m}{s}$

$P = F_{loc}v$

$F = ma$

$F = F_{loc}-F_{rol}-mg\sin\alpha$

$\sin \alpha= \frac{1}{20}=0.05$

$F_{loc}=ma+F_{rol}+mg\sin\alpha=287000N$

6.1

$P = F_{loc}v= 5022500W$

6.2

$E_k = \frac{mv^2}{2}=45937500J$

$\text {Answer}:$

6.1 P = 5022500W

6.2 Ek = 45937500J