A block of mass $4 \mathrm{~kg}$ is placed on a horizontal surface having coefficients of static and kinetic…

A block of mass $4 \mathrm{~kg}$ is placed on a horizontal surface having coefficients of static and kinetic friction as $0 \cdot 5$ and $0 \cdot 4$ respectively. If a force, parallel to horizontal surface of $4 \mathrm{~N}$ is applied to the body, then the force of friction acting on the body will be $\left[\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right]$
  1. $16 \mathrm{~N}$
  2. $20 \mathrm{~N}$
  3. $8 \mathrm{~N}$
  4. $4 \mathrm{~N}$

Solution

For a block placed on a horizontal surface with coefficients of static and kinetic friction $\mu_s$ and $\mu_k$ respectively, if a force $F$ is applied parallel to the surface, the force of friction $F_{\text {friction }}$ will depend on whether the block is moving or not: - If the applied force is less than the maximum static friction force $\left(F

Asked in: MHT CET 2020 (12 Oct Shift 2)

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