a b m C1991MI A small block of mass 2m initially rests on a track at the bottom of the circular vertical loop the loop shown

Question

a b m C1991MI A small block of mass 2m initially rests on a track at the bottom of the circular vertical loop the loop shown above which has a radius r The surface contact between the block and the loop is frictionless A bullet of mass m strikes the block horizontally with initial speed v and remains embedded in the block as the block and bullet circle the loop C d Q 2m Determine each of the following in terms of m Vo r and g The speed of the block and bullet immediately after impact The kinetic energy of the block and bullet when they reach point P on the loop The speed Vmin of the block at the top of the loop to remain in contact with track at all times The new required entry speed v of the block and bullet at the bottom of the loop such that the conditions in part c apply The new initial speed of the bullet to produce the speed from part d above e 1

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