A block of mass is pushed horizontally against a rough vertical wall with a constant…

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A block of mass 2.5 kg2.5\,\text{kg} is pushed horizontally against a rough vertical wall with a constant force of 120 N120\,\text{N}. The block is initially at rest and the coefficients of friction between the block and the wall are μs=0.40\mu_s = 0.40 and μk=0.30\mu_k = 0.30. Use g=9.8 m s−2g = 9.8\,\text{m\,s}^{-2}. (i) Decide, with suitable calculations, whether the block will remain at rest or begin to slide. (ii) If the block slides, find the magnitude and direction of its vertical acceleration.

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