A block of mass 1 k g is placed on a rough horizontal surface with a coefficient of friction μ = 0.2 . A horizontal force, whose variation with time is shown in the figure, is applied to the block. Ma

Question

A block of mass 1 k g is placed on a rough horizontal surface with a coefficient of friction μ = 0.2 . A horizontal force, whose variation with time is shown in the figure, is applied to the block. Match Column I with Column II. Column I Column II Velocity of particle is zero at t = 1 s Acceleration of particle is non-zero at t = 4 s Friction force = 1 N t = 20 s Friction force ≤ F t = 25 s t = 30 s

TestHub · Accepted Answer

Maximum frictional force = μ mg = ( 0.2 ) ( 1 ) ( 10 ) = 2 N ∴ block will be at rest in 0 ≤ t ≤ 2 s Net force on the block is shown in figure. Velocity gained by block at t = 8 s = ∫ 2 8 ​ m F net ​ ​ d t = 18 m / s Let particle's velocity be zero at t 1 ​ (after t = 8 s ) then 0 = ∫ 0 t 1 ​ ​ m F net ​ ​ d t = 18 − ( t 1 ​ − 8 ) ⇒ t 1 ​ = 26 s

	Column I		Column II
	Velocity of particle is zero at		$t = 1 s$
	Acceleration of particle is non-zero at		$t = 4 s$
	Friction force $= 1 N$		$t = 20 s$
	Friction force $\leq F$		$t = 25 s$
			$t = 30 s$

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