A 2kg block initially hangs at rest at the end of two 1 meter strings of negligible mass. A 0.003 kg bullet, moving horizontally with a speed of 1000 m/s, strikes the block and becomes embedded in it. After the collision, the bullet/block combination swings upward, but does not rotate.

a. Calculate the speed v of the bullet/block combination just after the collision.
b. Calculate the ratio of the initial kinetic energy of the bullet to the kinetic energy of the bullet/block combination immediately after the collision.
c. Calculate the maximum vertical height above the initial rest position reached by the bullet/block combination.

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