We will do the following processes: a) First we take three point particles of mass (m1, m2, m3) from infinity and glue them to positions (x1, x2, x3) relative to some global inertial reference system. b) We now carry three positively charged particles qi, i ∈ (1, 2, 3) from infinity and glue them to positions (y1, y2, y3) relative to some global inertial reference system. Explain of these two processes if the external world gained or lost energy? Evaluate the energy gained or lost from the outside world. Is there conservation of energy in these processes?

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We will do the following processes:
a) First we take three point particles of mass (m1, m2, m3) from infinity and glue them to positions (x1, x2, x3) relative to some global inertial reference system.
b) We now carry three positively charged particles qi, i ∈ (1, 2, 3) from infinity and glue them to positions (y1, y2, y3) relative to some global inertial reference system.
Explain of these two processes if the external world gained or lost energy?
Evaluate the energy gained or lost from the outside world. Is there conservation of energy in these processes?

Expert Solution
Step 1

(a)

Given:

The three point particles are of masses (m1,m2,m3).

The positions of these masses are (x1,x2,x3).

Introduction:

Potential energy is basically that form of energy that’s stored in an object due to its position in comparison to a certain zero position. Electric potential energy is potential energy that results from a conservative coulomb force and is associated with the configuration of a particular set of point charges within a defined system. An object may have electric potential energy by virtue of two key elements: its own electric charge and its relative position to other electrically charged objects.

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