Answer:
a) 
b) 
Explanation:
The law of conservation of mechanical energy states that total mechanical energy remains constant during oscillation. Mechanical energy is defined as the sum of kinetic energy and potential energy:

a) The position is one-third the amplitude. So, we have
. Replacing and solving for K

b) The potential energy is defined as:

Replacing:

Answer:
Answer is explained in the explanation section below.
Explanation:
Solution:
We know from the Coulomb's Law that, Coulomb's force is directly proportional to the product of two charges q1 and q2 and inversely proportional to the square of the radius between them.
So,
F = 
Now, we are asked to get the greatest force. So, in order to do that, product of the charges must be greatest because the force and product of charges are directly proportional.
Let's suppose, q1 = q
So,
if q1 = q
then
q2 = Q-q
Product of Charges = q1 x q2
Now, it is:
Product of Charges = q x (Q-q)
So,
Product of Charges = qQ - 
And the expression qQ -
is clearly a quadratic expression. And clearly its roots are 0 and Q.
So, the highest value of the quadratic equation will be surely at mid-point between the two roots 0 and Q.
So, the midpoint is:
q =
q = Q/2 and it is the highest value of each charge in order to get the greatest force.
In contrast to quiet eruptions, other volcanoes erupt explosively. Mount St. Helens, for instance, spewed lava high in the air when it erupted. Two things control the type of eruption: how much water vapor and other gasses are in the magma and whether the magma is basaltic or granitic. Basaltic magma tends to ooze out gently in a thin, quiet eruption, while granitic magma is thicker and becomes trapped inside the volcano's vents. Once the pressure grows enough to force out the magma, it explodes.
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Answer: 4.27 x 10^-10 N to the left
Explanation: I just took this quiz