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An aeroplane of mass 10,000 kg requires ...

An aeroplane of mass 10,000 kg requires a speed of 20 `ms^(-1)` for take-off run of 100 m on the ground. The coefficient of kinetic friction between the wheels of the plane and ground is 0.3. Assume that the plane accelerates uniformly during the take off. Determine the minimum force required by the engine of the plane to take off `(g = 10 ms^(-2))`.

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To solve the problem, we will follow these steps: ### Step 1: Identify the given data - Mass of the aeroplane, \( m = 10,000 \, \text{kg} \) - Final speed required for take-off, \( v = 20 \, \text{m/s} \) - Distance for take-off run, \( s = 100 \, \text{m} \) - Coefficient of kinetic friction, \( \mu = 0.3 \) - Acceleration due to gravity, \( g = 10 \, \text{m/s}^2 \) ...
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