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An engine of mass $5 \times 10^{4} kg$ pulls a coach of mass $4 \times 10^{4} kg .$ A resistance of 1N per 100kg is acting on both the coach and the engine and if the driving force of the engine is 4500N then

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The tension in the coupling is 2000N

The tension in the coupling is 2400N

The acceleration of the system (coach+ engine) is $0.05 {ms}^{- 2}$

The acceleration of the system (coach+ engine) is $0.04 {ms}^{- 2}$

answer is A, C.

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Detailed Solution

$\begin{array}{l} 4500 - 900 = 9 \times 10^{4} a \\ 3600 = 9 \times 10^{4} a \\ a = 0.04 m / s^{2} \\ T - 400 = 4 \times 10^{4} \times 0.04 \\ T - 400 = 1600 \\ T = 2000 N \end{array}$

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