To maintain a speed of 80   km   h - 1 by a bus of mass 500   kg on a plane rough road for 4…

To maintain a speed of 80 km h-1 by a bus of mass 500 kg on a plane rough road for 4 km distance, the work done by the engine of the bus will be _____ kJ. [The coefficient of friction between tyre of bus and road is 0.04]

Solution

It is given,

v=80 km h-1

m=500 kg

S=4 km

μ=0.04

The power due to friction is 

Pf=Fv where F=μmg

=0.04500×9.8×80×518 W

Hence, the work done by the engine in overcoming the friction is

W=Pft=Pfdv

W=20×9.8×80×518×4×10380×518=784 kJ

Asked in: JEE Main 2023 (12 Apr Shift 1)

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