The Magnitude of the Vector is 10.39m and the direction of the vector is - 46.7°.
<u>Explanation:</u>
GIven dx=7.14m and dy= -7.55m,
The Magnitude of the Vector=
Magnitude d= .
d=
d=
d= 10.39m.
Direction Ф =
=
= (-1.06)
Ф = - 46.7°.
(a)
The average acceleration of the ship is given by
where
v is the final velocity
u is the initial velocity
t is the time elapsed
Here we have:
is the initial velocity
v = 0 is the final velocity
is the time elapsed
Substituting, we find
(b) 4.72 m/s
Assuming the acceleration is uniform, the average velocity of the ship is given by:
where
v is the final velocity
u is the initial velocity
Here we have:
v = 0
u = 9.44 m/s
So the average velocity of the ship is
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.