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A \( 1,00,000 \mathrm{~kg} \) engine is moving up a slope of gradient \( 5^{\circ} \) at a speed of \( 100 \mathrm{~m} / \mathrm{h} \). The coefficient of friction between the engine and rails is \( 0.1 \). If the engine has an efficiency of \( 4 \% \) for converting heat into work, find the amount of coal the engine has to burn up in one hour (burning of \( 1 \mathrm{~kg} \) of coal yields \( 50,000 \mathrm{~J} \) )
(A) \( 9.23 \times 10^{4} \mathrm{~kg} \)
(B) \( 9.15 \times 10^{3} \mathrm{~kg} \)
(C) \( 8.41 \times 10^{4} \mathrm{~kg} \)
(D) \( 8.65 \times 10^{3} \mathrm{~kg} \)
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