Fuel Consumption 0/1 point (graded) A person has a moving truck which has a mass

Question

Fuel Consumption 0/1 point (graded) A person has a moving truck which has a mass m when it is empty. When the truck is loaded, its mass is 2m. She compares the fuel comsumption (in liters/100 km) of the loaded truck (Cioaded) with the fuel consumption of the empty truck (Cempty ) and finds out that, on flat roads: (hint: Remember that the work done by the engine must compensat for the energy loss by air drag and the energy loss by friction) o Cloaded-Cempty o Clouded = 2Cempty The increment in fuel consumption (Goaded-Cempty) at 50 km/h is greater than the increment in fuel consumption at 20 km/h. The increment in fuel consumption (Cloaded-Cempty) at 50 km/h is lower than the increment in fuel consumption at 20 km/h. X o The increment in fuel consumption (Cloaded Cempty) at 50 km/h is the same as the increment in fuel consumption at 20 km/h.

Explanation / Answer

Answer E is right.

Amount of fuel consumed per 100 km can be termed as energy consumption. Now this will be equal to work done by engine. So it doesn't depend on speed. In work done formula what are variables??

Total force applied ( for against air drag, friction etc)

And total distance covered (100 km)

Both are fixed. So speed will not be a deciding factor.

Now try to understand it other way round.

Let say in case 1 truck travelled at speed of 50. So it ll consume the fuel faster. In other case when it travelled at speed of 20, in this case fuel consumption will be slower.

But as in case 1 , speed is higher, truck will reach 100 km distance earlier so fuel consumption will be same in both case.

I hope this was helpful. Thank you so much

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