The weight of a metal bracelet is measured to be 0.10400 n in air and 0.08400 n when immersed in water. find its density.

The density of the metal is 5200 kg/m³.

Explanation:

Given that,

Weight in air= 0.10400 N

Weight in water = 0.08400 N

We need to calculate the density of metal

Let be the density of metal and be the density of water is 1000kg/m³.

V is volume of solid.

The weight of metal in air is

.....(I)

The weight of metal in water is

Using buoyancy force

We know that,

....(I)

Put the value of in equation (I)

Put the value of Vg in equation (II)

Hence, The density of the metal is 5200 kg/m³.

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