JEE Main & Advanced Physics NLM, Friction, Circular Motion Question Bank Self Evaluation Test - Laws of Motion

  • question_answer
    A conveyor belt is moving at a constant speed of 2m/s. A box is gently dropped on it. The coefficient of friction between them is\[\mu =0.5\]. The distance that the box will move relative to belt before coming to rest on it taking \[g=10m{{s}^{-2}}\], is

    A) 1.2 m

    B) 0.6 m

    C) zero

    D) 0.4 m

    Correct Answer: D

    Solution :

    [d] Frictional force on the box \[f=\text{ }\mu mg\] \[\therefore \text{ Acceleration in the box a = }\mu \text{g =5m}{{\text{s}}^{-2}}\] \[{{v}^{2}}={{u}^{2}}+2aS\Rightarrow 0={{2}^{2}}+2\times \left( 5 \right)s\Rightarrow s=-\frac{2}{5}\] \[\text{w}\text{.r}\text{.t}\text{. belt }\Rightarrow \text{ distance = 0}\text{.4m}\]


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