Physics · 2021
JEE Main · 16 March 2021, Shift 2 · Q14
A large block of wood of mass M =5.99 kg is hanging from two long massless cords. A bullet of mass m =10 g is fired into the block and gets embedded…
A large block of wood of mass $\displaystyle \mathrm{M}=5.99 \mathrm{~kg}$ is hanging from two long massless cords. A bullet of mass $\displaystyle \mathrm{m}=10 \mathrm{~g}$ is fired into the block and gets embedded in it. The (block + bullet) then swing upwards, their centre of mass rising a vertical distance $\displaystyle \mathrm{h}=9.8 \mathrm{~cm}$ before the (block + bullet) pendulum comes momentarily to rest at the end of its arc. The speed of the bullet just before collision is :
(take $\displaystyle \mathrm{g}=9.8 \mathrm{~ms}^{-2}$ )

Official answer
(3)
831.$\displaystyle 4$ m/s
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JEE Main 2021 Physics question, with the answer from NTA’s final answer key. Where our answers come from.