on land, coal is transported primarily by train. a typical large coal train maybe about a mile long and may consist of 120 cars, each holding 110 tons of coal. as each ton 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 power. for a coal train traveling at 60 mph, calculate the equivalent power in watts. one ton of coal has an energy content of 2.8×10^10 j. use the letter e for exponent; for example, 3x10^8 should be written as 3e18.



Answer :

The equivalent power of coal transported in a mile long train containing 120 cars, each holding 110 tons of coal travelling at 60 mph is 6.04 * 10e12 J

P = E / t

P = Power

E = Energy

t = Time

Distance of train = 1 mile

Number of cars in the train = 120

Tons of coal in 1 car = 110 tons

Velocity of train = 60 mph

Energy of one ton coal = 2.8×10e10 J

Total coal = 120 * 110

Total coal = 13200 tons

Total energy of coal = 13200 * 2.8×10e10

Total energy of coal = 369.6 * 10e12 J

v = d / t

v = Velocity

d = Distance

t = Time

t = d / v

t = 1 / 60

t = 0.017 h

t = 61.2 s

P = ( 369.6 * 10e12 ) / 61.2

P = 6.04 * 10e12 J

P = 6.04 pJ

Therefore, the equivalent power of coal is 6.04 * 10e12 J

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