A solid cylinder of mass 2 kg and radius 50 cm rolls up a 30° incline without slipping with initial centre speed 4 m/s. How far does it travel up the slope? (g=10 m/s²)
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A solid cylinder of mass 2 kg and radius 50 cm rolls up a 30° incline without slipping with initial centre speed 4 m/s. How far does it travel up the slope? (g=10 m/s²)

G1 Physics · Accepted Answer

Step 1: Initial total kinetic energy is ½mv²+½(½mR²)(v²/R²)=¾mv²=24 J. Step 2: At highest point this becomes mgh, so 2×10×h=24, h=1.2 m. Step 3: Distance along incline s=h/sin30°=2.4 m. Final answer: D — 2.4 m.