A particle of charge +7.5 μC is released from rest at the point x=60 cm on an x axis. The partic

step 1 In this question, you have a charge, Bitcoin is fixed at the origin, okay? Then there's a charge

A particle of charge +7.5 μC is released from rest at the...

A particle of charge $+7.5 \mu \mathrm{C}$ is released from rest at the point $x=60 \mathrm{cm}$ on an $x$ axis. The particle begins to move due to the presence of a charge $Q$ that remains fixed at the origin. What is the kinetic energy of the particle at the instant it has moved 40 $\mathrm{cm}$ if (a) $Q=+20 \mu \mathrm{C}$ and $(\mathrm{b}) Q=-20 \mu \mathrm{C} ?$

A particle of charge $+7.5 \mu \mathrm{C}$ is released from rest at the
point $x=60 \mathrm{cm}$ on an $x$ axis. The particle begins to move due to
the presence of a charge $Q$ that remains fixed at the origin. What is
the kinetic energy of the particle at the instant it has moved 40 $\mathrm{cm}$
if (a) $Q=+20 \mu \mathrm{C}$ and $(\mathrm{b}) Q=-20 \mu \mathrm{C} ?$

Key Concepts

Conservation of Energy

The principle of conservation of energy asserts that energy cannot be created or destroyed, only converted from one form to another. In the context of charged particles, the decrease in electric potential energy as the charges move corresponds to an equivalent increase in kinetic energy. This principle allows us to determine the particle's kinetic energy by calculating the change in electric potential energy.

Coulomb's Law

Coulomb's Law describes the force between two point charges, stating that the magnitude of the electrostatic force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. This law is foundational in analyzing interactions in electrostatics, particularly when calculating the forces and potential energy between charged objects.

Electric Potential Energy

Electric potential energy is the energy stored in a system of charges due to their positions relative to each other. For point charges, this energy is calculated using the formula U = kqQ/r, where k is Coulomb's constant, q and Q are the charges, and r is the separation distance. This concept explains how energy is converted when charges move in an electric field.

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