An ore sample weighs 17.50 n in air. when the sample
issuspended by a light cord and totally immersed in water,
thetension in the cord is 11.20 n. find the total volume and
thedensity of the sample.

(a) The total volume of the sample in the given water is

(b) The density of the given sample is 2,777.6 kg/m³.

The given parameters;

The mass of the object is calculated as;

The upthrust on the object when immersed in water is calculated as follows;

The volume of the object is calculated as follows;

The density of the sample is calculated as follows;

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Answer with Explanation:

We are given that

Weight of an ore sample=17.5 N

Tension in the cord=11.2 N

We have to find the total volume and the density of the sample.

We know that

Tension, T=

=buoyancy force

T=Tension force

W=Weight

By using the formula

N

Where

=Volume of object

=Density of water

=Acceleration due to gravity

Substitute the values then we get

Volume of sample=

Density of sample,

Where mass of ore sample=1.79 kg

Substitute the values then, we get

Density of the sample=

0.19 m/s and 0.45 m/s