A block of mass 10 kg placed on rough horizontal surface having coefficient of friction μ = 0.5, if a horizontal force of 100 N acting on it then acceleration of the block will be (a) 10 m/s2 (b) 5 m/s2 (c) 15 m/s2 (d) 0.5 m/s2.

Answer: (b). Friction f = μ mg = 0.5 × 10 × 10 = 50 N (taking g = 10 m/s²). a = (F - f)/(m) = (100 - 50)/(10) a = 5 m/s², so the answer is (b).

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Friction Basics

A block of mass 10 kg placed on rough horizontal surface having coefficient of friction $\mu$ = 0.5, if a horizontal force of 100 N acting on it then acceleration of the block will be

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Answer: (b)

Friction $f = \mu mg = 0.5 \times 10 \times 10 = 50$ N (taking $g = 10\text{ m/s}^2$ ).
$a = \dfrac{F - f}{m} = \dfrac{100 - 50}{10}$
$a = 5\text{ m/s}^2$ , so the answer is (b).

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