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=

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.