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A gun fires a 100g bullet that gets embedded in a pendulum bob of mass 900g...

A gun fires a 100g bullet that gets embedded in a pendulum bob of mass 900g as shown

If the resultant bob (bullet + original bob) rises by 1 meter, what is the initial velocity of the bullet? Show and explain all your steps to get the answer. No points just for the numerical answer. Also if the pendulum is 20 meters long, derive an expression for the period of the pendulum and calculate its value.

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