Two blocks of identical mass are placed in water. One is made of aluminum, the other of wood. The wood block is noted and therefore floating. Upon which is the buoyant force greater? 1) on the aluminum block, 2) on the wood block or 3) they both experience the same buoyant force.

Answer 1

They have the same mass.
The force up on the wood block is m g

the force up on the Al block is its volume * density of water * g
but what is its volume?
Al density = 2.7 * density water = 2700 kg/m^3
so volume = m/2700
so force up on Al is
(m/2700)1000 g
= m g/2.7

the force up on the wood is 2.7 times greater