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On land, coal is transported primarily by train. A typical large coal train may be about 1.5 km long and may consist of 120 cars, each holding 110 tonnes of coal. As each tonne of coal has an equivalent energy content (in terms of the stored chemical energy it contains), a moving coal train represents a flow of (chemical) energy or a power. For a coal train traveling at 100 km/h. Calculate the equivalent power in watts.

Respuesta :

Answer:

equivalent power = 6.60 × [tex]10^{12}[/tex] W

Explanation:

given data

coal train length = 1.5 km = 1500 m

contain = 120 cars

holding= 110 tonnes of coal each

train traveling speed = 100 km/h = 27.78 m/s

to find out

equivalent power in watts

solution

we take here energy produce by coal is 27 ×  [tex]10^{6}[/tex] J/kg

and here total coal = 120 × 110  × 10³ kg

sop here energy produce by total coal is

energy produce by total coal = 27 ×  [tex]10^{6}[/tex] × 120 × 110  × 10³  

and time required to cross that distance is

time = [tex]\frac{distance}{speed}[/tex]    

time = [tex]\frac{1500}{27.78}[/tex]  

time = 53.99 sec

so here equivalent power will be

equivalent power = [tex]\frac{energy}{time}[/tex]  

equivalent power = [tex]\frac{27*10^6*120*110*10^3}{53.99}[/tex]  

equivalent power = 6.60 × [tex]10^{12}[/tex] W