A shell of mass 200 g is ejected from a gun of mass 4 kg by an explosion that generates 1.05 kJ of energy. The initial velocity of the shell is
Text Solution
Verified by ExpertsThe correct answer is:
A
In the given problem conservation of linear momentum and energy hold good.
Conservation of momentum yields.
m 1 v 1 + m 2 v 2 = 0
or 4v 1 + 0.2 v 2 = 0 ............(i)
Conservation of energy yields
m 1 v 12 + 
m 2 v 22 = 1050
or 
× 4v 12 + 
× 0.2 × v 22 = 1050
or 2 v 12 + 0.1 v 22 = 1050 ..........(ii)
Solving Eqs. (i) and (ii), we have
v 2 = 100 m/s
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