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Question

# An aeroplane requires a speed of 108 kmph to take off, to achieve that plane runs on the runway of 100 m. Mass of the plane is 10400 kg and the coefficient of friction between the plane and the ground is 0.2. Assuming the plane accelerates uniformly, the minimum force required is (Take g=9.81 m/s2)

A
2×104N
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B
2.43×104N
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C
6.72×104N
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D
8.86×104N
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Solution

## The correct option is B 6.72×104NRequired take off speed is 108 kmph i.e 30 m/s over a run of 100 m.v2−u2=2asv2−0=2asa=v22sForce that should be developed by the engine is given by:F−μmg=maF=0.2(10400)(9.81)+10400(3022(100))=6.72×104N

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