If the same types of fossils are found in two separate rock layers, it's likely that the two rock layers ____. A-formed at diffe
2 answers:
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Answer:
The force constant is
The energy stored in the spring is
Explanation:
From the question we are told that
The mass of the object is
The period is
The period of the spring oscillation is mathematically represented as
where k is the force constant
So making k the subject
substituting values
The energy stored in the spring is mathematically represented as
Where x is the spring displacement which is given as
substituting values
Answer:
, assuming that
and
are point charges.
Explanation:
Let denote the coulomb constant. Let
denote the distance between the two point charges. In this question, neither
and
depend on the value of
.
By Coulomb's Law, the magnitude of electrostatic force between and
would be:
.
Find the first and second derivative of with respect to
. (Note that
.)
First derivative:
.
Second derivative:
.
The value of the coulomb constant is greater than
. Thus, the value of the second derivative of
with respect to
would be negative for all real
.
would be convex over all
.
By the convexity of with respect to
, there would be a unique
that globally maximizes
. The first derivative of
with respect to
should be
for that particular
. In other words:
<em>.</em>
.
.
In other words, the force between the two point charges would be maximized when the charge is evenly split:
.