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1st Equation of Motion

A nail of mas...

Question

A nail of mass $^{'} m_{1}^{'}$ kg is being hammered by a hammer of mass $^{'} m_{2}^{'}$ kg with a velocity of 'v' m s $^{- 1}$ such that the nail drives by 's' m into a wall. Find the average resistance offered by the wall to the penetration of nail.

[\frac{m_{2} v}{(m_{1} + m_{2}) 2 s}] N

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[\frac{m_{2} v^{2}}{(m_{1} + m_{2}) 2 s}] N

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[\frac{m_{2}^{2} v}{(m_{1} + m_{2}) 2 s}] N

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[\frac{m_{2}^{2} v^{2}}{(m_{1} + m_{2}) 2 s}] N

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Solution

The correct option is D $[\frac{m_{2}^{2} v^{2}}{(m_{1} + m_{2}) 2 s}] N$
This question can be directily done by comparing unit of options given.
By observation we see unit of all the options is different so any one of them will be correct, and thus solving for unit we find
Option A: $T^{- 1}$
Option B $:LT^{-2}= acceleration$
Option C: $M T^{- 1}$
Option D: $M L T^{- 2} = f o r c e$
So option D is correct.

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A nail of mass ′m′1 kg is being hammered by a hammer of mass ′m′2 kg with a velocity of 'v' m s−1 such that the nail drives by 's' m into a wall. Find the average resistance offered by the wall to the penetration of nail.

A nail of mass $^{'} m_{1}^{'}$ kg is being hammered by a hammer of mass $^{'} m_{2}^{'}$ kg with a velocity of 'v' m s $^{- 1}$ such that the nail drives by 's' m into a wall. Find the average resistance offered by the wall to the penetration of nail.