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Physics · LAWS OF MOTION
हिन्दीA block of mass \( 10\text{ kg} \) is placed on a rough horizontal floor where \( \mu_s = 0.5 \) and \( \mu_k = 0.4 \). If a horizontal force of \( 60\text{ N} \) is applied to the block, taking \( g = 10\text{ m/s}^2 \), the acceleration produced in the block is:
Correct answer · Option 1
\( 2\text{ m/s}^2 \)
Explanation
Maximum static friction \( f_{s,\text{max}} = 0.5 \times 10 \times 10 = 50\text{ N} \). Since \( F = 60\text{ N} > 50\text{ N} \), block moves and kinetic friction acts: \( f_k = \mu_k m g = 0.4 \times 100 = 40\text{ N} \). Net force \( F_{net} = 60 - 40 = 20\text{ N} \). Acceleration \( a = \frac{20}{10} = 2\text{ m/s}^2 \).
