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Chapter 3: Problem 5

In the energy balance, the change in potential energy is usually based on the gravity field; which other fields might be relevant as well and which terms would then appear?

Short Answer

Expert verified
Answer: The potential energy terms associated with these fields are U_e for an electric field, U_m for a magnetic field, and U_s for a spring or elastic field.

Step by step solution

01

Understand the given problem

We are provided with the information that potential energy is usually based on the gravity field. Our task is to identify other fields that might be relevant and find the potential energy terms associated with those fields. We will now explore different fields that could influence potential energy.
02

Discover other relevant fields

There are several fields that can influence an object's potential energy. Apart from the gravitational field, some other important fields are: 1. Electric field 2. Magnetic field 3. Spring or elastic field Now, let's determine the potential energy terms associated with these fields.
03

Potential energy in an Electric field

In an electric field, created by a charged object, potential energy is a result of the force acting on another charged object. The electric potential energy (U_e) of a charged object (q) in an electric field (E) can be calculated as: U_e = q * V Where V is the electric potential at the point where the charged object is placed, and the unit of potential energy is joule (J).
04

Potential energy in a Magnetic field

In a magnetic field (B), the potential energy depends on the force acting on an object with a magnetic moment (µ). For instance, a small bar magnet or a loop of current can have a magnetic moment. The potential energy (U_m) can be calculated as: U_m = - µ * B * cos(θ) Where θ is the angle between the magnetic moment and the direction of the magnetic field.
05

Potential energy in a Spring or elastic field

A spring or an elastic field is created when an object, like a spring, is compressed or stretched. The potential energy (U_s) stored in a spring or elastic object can be calculated using Hooke's law and is given by: U_s = (1/2) * k * x^2 Where k is the spring constant and x is the displacement of the spring from its equilibrium position. In conclusion, potential energy can be influenced not only by the gravity field but also by electric, magnetic, and spring or elastic fields. The potential energy terms associated with these fields are U_e for an electric field, U_m for a magnetic field, and U_s for a spring or elastic field.

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