Friction, Conservation of energy and conservation of momentum, Rotational inertia, and Archimedes' principle:

1. Friction. Consider an object sliding on a horizontal table with initial velocity v0?. Eventually, the object comes to rest at a distanced due to the friction of the table. Find the coefficient of kinetic friction in terms of v0?, d, and g.

2. Conservation of energy and conservation of momentum. A gun fires a bullet of massm=16g with initial velocityv0?=120sm? horizontally. It hits a wooden block of massM=1.0kg that is hanging by a string and embeds itself in the block. Use conservation of energy and conservation of momentum to find the height the block reaches. (See diagram below.)

O m + M h m vo Msensor m