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Physics · 2022

JEE Main · 28 June 2022, Shift 2 · Q33

A block of mass 2 kg moving on a horizontal surface with speed of 4 ms^-1 enters a rough surface ranging from x=0.5 m to x=1.5 m. The retarding force…

A block of mass $\displaystyle 2$ kg moving on a horizontal surface with speed of $\displaystyle 4 \mathrm{~ms}^{-1}$ enters a rough surface ranging from $\displaystyle x=0.5 \mathrm{~m}$ to $\displaystyle x=1.5 \mathrm{~m}$. The retarding force in this range of rough surface is related to distance by $\displaystyle \mathrm{F}=-\mathrm{k} x$ where $\displaystyle \mathrm{k}=12 \mathrm{Nm}^{-1}$. The speed of the block as it just crosses the rough surface will be :
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JEE Main 2022 Physics question, with the answer from NTA’s final answer key. Where our answers come from.