Question

1-Does the buoyancy force when an object floats equal the weight? If yes,when you put a wood in water it submerges in half but when you put it in another liquid it submerges 1/3.Then how come are the buoyancy force=Weight when we know that Fb=p(fluid).v.g

2-When the density of an object equals the density of the fluid that it is in,does buoyant force=weight? If yes then how come it doesn't come on the top.just like last question

Please elaborate extensively and in a simple language . Thanks