A block rests on a rough incline that is fixed inside an elevator

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

Problem

A 4 kg4\,\text{kg} block rests on a rough 30∘30^{\circ} incline that is fixed inside an elevator. The coefficient of static friction between the block and the incline is 0.60.6. The elevator is moving upward with a constant acceleration of 5 m s−25\,\text{m}\,\text{s}^{-2}. Take g=9.8 m s−2g = 9.8\,\text{m}\,\text{s}^{-2}. The block remains at rest relative to the incline. What is the magnitude of the normal reaction exerted by the incline on the block? (a) 43 N43\,\text{N} (b) 59 N59\,\text{N} (c) 51 N51\,\text{N} (d) 34 N34\,\text{N}

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