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A disc of mass \( 50 \mathrm{~g} \) slides with zero initial velocity down an inclined plane set at an angle \( 30^{\circ} \) to the horizontal. Having traversed a distance of \( 50 \mathrm{~cm} \) along the horizontal plane, the disc stops. Find the work performed by the friction forces over the whole distance, assuming the friction coefficient \( 0.15 \) for both inclined and horizontal planes. (Take, \( g=10 \mathrm{~m} / \mathrm{s}^{2} \) )
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