Answer:
The
hindrance offered by the wall to the motion of bullet is called the resistance
offered by wall.
Mass of the bullet, \[m=4\times
{{10}^{-3}}kg\]
Initial
velocity, \[u=50\,m{{s}^{-1}}\]
Depth,
\[s=10\,cm=\frac{1}{10}m\]
Final
velocity, v = 0,
Force,
F= ?
\[{{\upsilon
}^{2}}={{u}^{2}}+2as\]
\[{{\upsilon
}^{2}}-{{u}^{2}}=2as\]
\[0-{{(50)}^{2}}=2a\times
\frac{1}{10}\]
or\[-2500=\frac{a}{5}\Rightarrow
a=-12500\,\text{m}{{\text{s}}^{-2}}\]
Force, \[F=ma=4\times
{{10}^{-3}}\times (-12500)=-50\text{N}\]
Thus, the
average resistance offered = 50 N. Negative sign indicates that the force is
acting
opposite to the
motion.
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