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Find the work done and power of an car e...

Find the work done and power of an car engine which can maintain a speed of `40 ms^(-1)` for a mass of a car `2xx10^(3)` kg on a rough level road to 2 km. The coefficient of friction is 0.05.

Text Solution

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Mass of a car `(m)=2xx10^(3)kg`
The coefficient of friction `(mu)=0.05`
Speed `(v)=40 ms^(-1)`
Displacement (s) = 2 km = 2000 m
Power, p = ? `" "` Watt, w = ?
F = before of friction = `mumg`
Power `= F v " " = mu mg xx v`
`=0.05xx2xx10^(3)xx10xx40`
`=4xx10^(4)` Watt = 40 kW
Workdone, W = F.s `= mu mgs`
`=0.05xx2xx10^(3)xx10xx2xx10^(3)`
`= 2xx10^(6)J`.
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