Question

If we have two objects with the same mass but different densities (Lets assume object 1 is denser,therefore volume is lower relative to object 2).Assume both objects have a lower density than water.Now if we put both in water,both will float.Since they float, buoynacy force is equal to the weight of the object,so buoynacy force in 1 and 2 should be equal .However if we use F(boyancy)=pvg--> then becuase the submerged v is less for the denser object and p fluid is the same,then we can conclude that F bouynacy are not the same for both objects.Where am I making a mistake ? Plz explain.Thanks

Answer 1

take the volume that is submerged. That's the volume of water displaced.

Answer 2

but the volume of submerged is different in those two

Answer 3

so buoyancy force is different in those two

Answer 4

weights are the same

Answer 5

probably. since the densities* are different.

Answer 6

In question it says wights are the same

Answer 7

and diffferent volumes

Answer 8

so it seems that the one with more density should have a lower buyonacy force

Answer 9

but you said that when an object floats the buoyancy force equals weight,so since both objects have the same weight,then buoynacy force should be equal in those two

Answer 10

k then they displace exactly the same volume of water

Answer 11

Oh I see my stupid mistake

Answer 12

The more dense object will float with a greater percentage of its volume immersed, not less.
2) If they have the same MASS, the more dense one will have less VOLUME

Answer 13

try it with a beach ball and a very tiny balloon of water with a bit of air in it