Sketch the solid whose volume is given by the integral and evaluate the integral. $ \int_{0}^{{\color{red}6}}\int_{0}^{2\pi }\in
t_{{\color{red}4} r}^{{\color{red}24}}\,r\,dz\,d\theta \,dr
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Here we can use momentum conservation as in this type of collision there is no external force on it
now here we can say
now here we can say
now by coefficient of restitution
for elastic collision we know that e = 1
now by solving the two equation
also we know that
so final speed of the nail is 6.875 m/s