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Georgia [21]
3 years ago
15

What is the initial position

Physics
1 answer:
labwork [276]3 years ago
6 0

Answer:

Initial position of a body is the position of the body before accelerating or increasing its velocity the position changes and then that position is the final position.

hope it is helpful...

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Two positive charges are fixed a distance apart.the sun of their charges is Qt.what charge must each have in order to maximise t
romanna [79]

Answer:

Both charges must have the same charge, Qt/2.

Explanation:

Let the two charges have charge Q1 and Q2, respectively.

Use Coulombs's Law to find an expression for the force between the two charges.

F = k_e\frac{Q_1Q_2}{r^2}, where

Ke is Coulomb's contant and

r is the distance between the charges.

We know from the question that

Q1 + Q2 = Qt

So,

Q2 = Qt - Q1

F = k_e\frac{Q_1(Q_t - Q_1)}{r^2}

Simplify to obtain,

F = \frac{k_e}{r^2} (Q_tQ_1 - Q_1^2)

In order to find the value of Q1 for which F is the maximum, we will use the optimization technique of calculus.

Differentiate F with respect to Q1,

\frac{dF}{dQ_1}  = \frac{k_e}{r^2} (Q_t - 2Q_1)

Equate the differential to 0, to obtain the value of Q1 for which F is the maximum.

\frac{k_e}{r^2} (Q_t - 2Q_1) = 0\\Q_t - 2Q_1 = 0\\2Q_1 = Q_t\\Q1 = \frac{Q_t}{2}

It follows that

Q_2 = \frac{Q_t}{2}.

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Answer:

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