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An aeroplane clears the runway path of 3...

An aeroplane clears the runway path of `300m` with a final take off speed of `234 kmph`. If the total mass of the plane is `50000kg` and friction between the wheels and the road is `0.4`, then calculate the thrust on the engine `(g=10 ms^(-2))`.

Text Solution

Verified by Experts

Given, `v=234xx((5)/(18))=65ms^(-1)`, `m=50000kg`
`mu_(k)=0.4`, `u=0`, `s=300m`
Force of friction `=mu_(k)mg=0.4xx5xx10^(4)xx10=2xx10^(5)N`
`a=(v^(2))/(2s)=(65xx65)/(2xx300)=7.04ms^(-2)`
`F=ma=5xx10^(4)xx7.04=3.52xx10^(5)N`
Total thrust on the engine `=F_(f)+F=2xx10^(5)+3.52xx10^(5)=5.52xx10^(5)N`.
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