A body of mass m was slowly hauled up the rough hill by a force F which at each point was directed along tangent to the hill. Work done by the force

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The work done W = f ​ ⋅ d . Since the body is hauled slowly, f W ​ = m g sin θ + μ m g cos θ = ∫ ( m g sin θ + μ m g cos θ ) d s = ∫ m g sin θ d s + ∫ μ m g cos θ d s = ∫ m g d y + ∫ μ m g d x = m g h + μ m gL ​

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JEE Advanced (2028)