Archimedes' principle can be used to find the density of a fluid as well as that of a solid. Suppose a chunk of iron with a mass of 430.00 g in air is found to have an apparent mass of 325.00 g when completely submerged in an unknown liquid. 1000 g = 1 kg. (d) What is the magnitude of the buoyant force in Newtons?

B = 1.029 N

Explanation:

Whenever an object is submerged into water, the water exerts a force on an object in the upward direction. When an object push water, water pushes it back with more force. Basically buoyant force is the weight of fluid displaced by the object submerged in water.

B = weight of object in air - weight of object in water

Converting gram into N

We know that 1 kg = 9.8 N

Changing kg into gram by multiplying both sides with 1x10¯³

1 g = 9.8x10¯³ N

430 g = 430x9.8x10¯³N

430 g = 4.214 N

325 g = 325x9. 8x10¯³ N

325 g = 3.185 N

Now, finding buoyant force

B = weight of object in air - weight of object in water

B = 4.214 - 3.185

B = 1.029 N