Assertion : A man and a block rest on a smoot | vedclass

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(D) The $Assertion$ states that the man cannot move on the horizontal surface while holding a rope connected to a block. This is incorrect because the

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If both the Assertion and Reason are incorrect.

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(D) The $Assertion$ states that the man cannot move on the horizontal surface while holding a rope connected to a block. This is incorrect because the man can exert a force on the block by pulling the rope. According to Newton's third law,the block will exert an equal and opposite force on the man,causing him to move towards the block.The $Reason$ states that a man standing at rest on a smooth horizontal surface cannot start walking due to the absence of friction. This is correct. Walking requires friction to push the ground backward,which in turn provides a forward reaction force. Without friction,the man's feet would simply slip.Since the $Assertion$ is incorrect and the $Reason$ is correct,the correct option is $D$ (based on standard assertion-reason logic where the assertion is false).

Column-$I$	Column-$II$
$(1)$ Newton's third law of motion	$(a)$ $\vec{F}_{12} = -\vec{F}_{21}$
$(2)$ Law of conservation of momentum	$(b)$ $\Delta \vec{p} = 0$
	$(c)$ $\vec{F}_{12} = \vec{F}_{21}$

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Work done by frictional force is:

Three forces $F_1=10\,N$,$F_2=8\,N$,and $F_3=6\,N$ are acting on a particle of mass $5\,kg$. The forces $F_2$ and $F_3$ are applied perpendicular to each other such that the particle remains at rest. If the force $F_1$ is removed,then the acceleration of the particle is $......\,m/s^2$.

Match the items in Column-$I$ with those in Column-$II$.

Column-$I$ Column-$II$

$(1)$ Newton's third law of motion $(a)$ $\vec{F}_{12} = -\vec{F}_{21}$

$(2)$ Law of conservation of momentum $(b)$ $\Delta \vec{p} = 0$

$(c)$ $\vec{F}_{12} = \vec{F}_{21}$

Three forces acting on a body are shown in the figure. To have the resultant force only along the $y-$ direction,the magnitude of the minimum additional force needed is ........... $N$.

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