A block of mass 25 kg rests on a horizontal floor $(μ = 0.2)$ . It is attached by a 5 m long horizontal rope to a peg fixed on floor. The block is pushed along the ground with an initial velocity of 10 m/s so that it moves in a circle around the peg. Choose the correct statement(s) :-

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(A) Tangential acceleration is the retardation produced by the friction $a = - f / m = - μ mg / m a_{t} = - 0.2 \times 10 = - 2 m / s^{2}$

$\int_{10}^{v} dv = - 2 \int_{0}^{t} dt$ $v - 10 = - 2 t v = 10 - 2 t$

(C) Tension in the rope will become zero when centripetal acceleration becomes zero i.e. when speed becomes zero

$v = 0 \Rightarrow 10 - 2 t = 0 \Rightarrow t = 5 sec$

Physics - Circular Motion Question with Solution | TestHub

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