A block of mass $m=10 \mathrm{~kg}$ rests on a horizontal table. The coefficient of friction between the block and the table is $0.05$. When hit by a bullet of mass $50 \mathrm{~g}$ moving with speed $v$, that gets embedded in it, the block moves and comes to stop after moving a distance of $2 \mathrm{~m}$ on the table. If a freely falling object were to acquire speed $\frac{v}{10}$ after being dropped from height $\mathrm{H}$, then neglecting energy losses and taking $\mathrm{g}$ $=10 \mathrm{~ms}^{-2}$, the value of $\mathrm{H}$ is close to:

Question:

A block of mass $m=10 \mathrm{~kg}$ rests on a horizontal table. The coefficient of friction between the block and the table is $0.05$. When hit by a bullet of mass $50 \mathrm{~g}$ moving with speed $v$, that gets embedded in it, the block moves and comes to stop after moving a distance of $2 \mathrm{~m}$ on the table. If a freely falling object were to acquire speed $\frac{v}{10}$ after being dropped from height $\mathrm{H}$, then neglecting energy losses and taking $\mathrm{g}$ $=10 \mathrm{~ms}^{-2}$, the value of $\mathrm{H}$ is close to:

  1. $0.05 \mathrm{~km}$

  2. $0.02 \mathrm{~km}$

  3. $0.03 \mathrm{~km}$

  4. $0.04 \mathrm{~km}$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Laws of Motion chapter.

JEE Main Previous Year April 10, 2015


Correct Option: 4

Solution:

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