A cat runs 80 meters to the left in 16 seconds, then 50 meters to the right in 10 seconds, then 70 meters to the left in 14 seco
1 answer:
<h3>Answer:a) Distance= 240m. b) Displacement= 90m. c) Average Speed= 5
. d) Average Velocity= 1.875 </h3>
Explanation:
a) Distance ➤ (80+50+70+40) m. ➤ Distance= 240m.
b) Displacement ➤ (50+40)m. ➤ Displacement= 90m
c) Average Speed ➤ Total distance travelled/total time taken
➤ 240/48
➤ 5
d) Average Velocity ➤ Total displacement/total time taken
➤ 90/48
➤ 1.875
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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:
.