A block is pulled from rest up a straight –long incline that makes an angle of with…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A 3.0 kg3.0\,\text{kg} block is pulled from rest up a straight 5.0 m5.0\,\text{m}–long incline that makes an angle of 30∘30^\circ with the horizontal. The magnitude of the pulling force exerted by a cable is 80 N80\,\text{N} at the bottom of the incline and increases uniformly to 100 N100\,\text{N} at the top. The coefficient of kinetic friction between the block and the surface is 0.10. What is the speed of the block when it reaches the top of the incline? (a) 18 m/s18\,\text{m/s} (b) 16 m/s16\,\text{m/s} (c) 14 m/s14\,\text{m/s} (d) 20 m/s20\,\text{m/s}

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