Answer:
Separation of the Earth into layers (crust, mantle, inner core, and outer core) was largely caused by gravitational differentiation (separating different constituents at temperature where materials are liquid or plastic, owing to differences in density) early in Earth's history.
Explanation:
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The angle of a resultant vector is given by the equation
Explanation:
When we compute the resultant vector starting from 2 (or more) vectord, we add the components along the x- and y- direction of the original vectors, in order to find the component of the resultant vector along the two directions.
Let's call:
the component of the resultant vector along the x-direction
the component of the resultant vector along the y-direction
The magnitude of the resultant vector is then given by Pythagorean's theorem:
While the angle can be found by taking the arctangent of the ratio between the y-component and the x-component, mathematically:
Note that this angle is measured between the resultant vector and the positive direction of the x-axis.
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Answer:
P₃ > P₁ > P₂
Explanation:
To rank pressure of the given situation
a) we know
Pressure at height h below
P = ρ g h
density of salt water, ρ = 1029 kg/m³
P₁ = 1029 x 10 x 0.2
P₁ = 2058 Pa
b) density of fresh water, ρ = 1000 kg/m³
P₂ = 1000 x 10 x 0.2
P₂ = 2000 Pa
c) density of mercury, ρ = 13593 kg/m³
P₃ = 13593 x 10 x 0.05
P₃ = 6796.5 Pa
Rank of Pressures from highest to lowest
P₃ > P₁ > P₂
The electrostatic force between the glass bead and the plastic bead is given by:
where
k is the Coulomb's constant
q1 is the charge of the glass bead
q2 is the charge of the plastic bead
r is the separation between the two beads
In this problem,
and
, and since we know the force,
, we can rearrange the equation to find q2, the charge of the plastic bead: