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Let m and m' be the mass of the wooden piece and the bullet respectively.
In this way, if t is time after which bullet strikes with the wooden piece.
we get, t = 1 sec.
Let the velocity of striking of the
Using the equation, v = u + at
v = 9.8 m/s
and v' = 90.2 m/s
According to the
mv - m'v' = (m +m')V ....(i) (as the direction of both velocities are opposite)
Using this equation you will find the vale of V.
Let the body will rise upto height h above the building.
At this point total mechanical energy of the combination is = 1/2 (m +m')V2 + (m +m')gx ...(ii)
total mechanical energy of the combination at the max height = 0 + (m +m')g(100+h) ...(iii)
Equating (ii) nad (iii) and substituting the value of x. you will get the answer.
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