The density of the substance is<u> 10.5 g/cm³.</u>
The jewelry is made out of <u>Silver.</u>
Density ρ is defined as the ratio of mass <em>m</em> of the substance to its volume V<em>. </em> The cylinder contains a volume <em>V₁ of water</em> and when the jewelry is immersed in it, the total volume of water and the jewelry is found to be V₂.
The volume <em>V</em> of the jewelry is given by,

Substitute 48.6 ml for <em>V₁ </em>and 61.2 ml for V₂.

calculate the density ρ of the jewelry using the expression,

Substitute 132.6 g for <em>m</em> and 12.6 ml for <em>V</em>.

Since
,
The density of the jewelry is <u> 10.5 g/cm³.</u>
From standard tables, it can be seen that the substance used to make the jewelry is <u>silver</u><em><u>, </u></em>which has a density 10.5 g/cm³.
When Emmett is lifting a box
vertically, the forces that must be added to calculate the total force are: the
gravitational force, tension force(the force exerted by Emmett to the box and
the force exerted by the box to Emmett), and air resistance force.
Answer:
Explanation:
a. Given that:
mass of first & second piece,
mass of 3rd piece,
-velocity of first piece(
) and
as velocity of 2nd piece (
)
Let
be velocity of 3rd piece=?
#Vessel is at rest before explosion. Considering conservation of linear momentum:
#Dividing both sides by 

#Plug the
values:

#So the magnitude of the third piece is:

Magnitude of the 3rd piece is 10.84 m/s
b. To find direction of the magnitude (as an angle relative to the
-axis), we find
. The angle is obtained by getting the tan inverse as:

-The direction of the magnitude (angle relative to the x-axis) is 45°
It would be towards your side. Right hand thumb rule