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I think I have an understanding of the queation, but just wanted to ensure I am on the right path.

I figured that in the middle kenetic energy E=1/2 mv2 will not be conseved, but momentum is conserved. So if u is the velocity of bullet in start then u=((m+M)v)/m

In the swing to the height of 12.5 cm the potential and kenetic energy will be conserved since both the mass of pendulum and bullet swing up after collision.

so v=sqrt(2gh)

v=sqrt(2*9.8*0.125)

=1.565 m/s

u=((m+M)v)/m

=((5.50+1750)1.565)/5.50

=499.599 m/s

Is this question really this easy because its 4 marks?

Please help. Thank you.