A block slides up a rough incline that makes an angle of with the horizontal

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A 2 kg2\,\text{kg} block slides up a rough incline that makes an angle of 30∘30^{\circ} with the horizontal. Its initial speed at the bottom is 10 m s−110\,\text{m s}^{-1}. The coefficient of kinetic friction between the block and the incline is 0.200.20. How far along the incline will the block move before it comes to rest? (Take g=9.8 m s−2g = 9.8\,\text{m s}^{-2}.) (a) 8.5 m8.5\,\text{m} (b) 7.6 m7.6\,\text{m} (c) 5.8 m5.8\,\text{m} (d) 7.3 m7.3\,\text{m}

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