Energy is one of the most essential principles in physics and engineering. At its core, energy is the capacity to do work or bring about change. Whether lifting a weight, accelerating a car, or heating water, energy makes these actions possible.
If you’re preparing for the FE (Fundamentals of Engineering) exam, mastering how to solve energy problems is crucial. You’ll need to recognize different forms of energy and understand how they interact in systems, particularly potential energy, kinetic energy, and the conservation of energy.
The Approach
Identify the forms of energy, then track how they convert
How to Work an Energy Problem
To effectively solve energy problems, follow a structured problem-solving strategy. The key is to identify the forms of energy present, apply the correct formulas, and use the principle of conservation of energy to relate them.
Let’s break down the essential energy concepts you’ll need.
The Three Core Ideas
Potential energy, kinetic energy, and conservation
Potential Energy
Potential energy is the energy stored in an object due to its position or configuration. Classic examples include a raised weight, a stretched spring, or a compressed gas.
Potential energy increases with mass and height. FE exam questions might involve objects suspended above a surface or mechanical systems storing energy in position.
Example: a 6 kg object raised 8 m has PE = (6)(9.81)(8) = 471.84 J.
Kinetic Energy
Kinetic energy is the energy a body possesses due to its motion. Every moving object, from a falling ball to a rotating wheel, has kinetic energy.
Doubling an object’s velocity increases its kinetic energy by a factor of four, making velocity a critical factor in energy calculations.
Example: a 2.5 kg object moving at 10 m/s has KE = 0.5(2.5)(10²) = 125 J.
Conservation of Energy
The Law of Conservation of Energy states that within a closed system, the total energy remains constant. Energy can convert between forms but cannot be created or destroyed.
In energy problem-solving, this means that the sum of potential and kinetic energy at one point equals the sum at another point (neglecting energy losses like friction unless specified).
Example: a 3 kg rock falling from 20 m — set the initial potential energy equal to the final kinetic energy and solve for velocity.
Eₜₒₜₑₗ = PE + KE
Key Formulas to Remember
When learning how to solve energy problems for the FE exam, memorize these formulas:
These equations form the foundation for most FE exam energy questions.
Problem Types
How the setup changes depending on what you’re given
Vertical Motion
Focus on changes in height for potential energy, and on velocity for kinetic energy. Use energy conservation between two points.
Springs
Include the spring potential energy formula. Recognize when a spring is stretched or compressed relative to its equilibrium.
Work-Energy
Relate work done by forces to changes in kinetic energy. Use the Work-Energy Principle when external forces are applied.
Combined Systems
In complex cases, track multiple forms of energy — such as when a pendulum swings or a mass-spring system oscillates.
Real-World Applications
Understanding how to solve energy problems isn’t just about passing the FE exam. Engineers apply these principles when designing vehicles, bridges, amusement park rides, and power systems.
Video Tutorial
Watch the method worked through step by step
Work, Energy, and Power Video Solution →
What the Tutorial Covers
We’ve produced a detailed video tutorial that walks through how to solve energy problems, including gravitational potential energy, kinetic energy, and conservation of energy examples.
Who It Helps
This is ideal for visual learners and those preparing for problem-solving sections on the FE exam.
Quick Review with YouTube Shorts
For a fast review, our YouTube Shorts cover essential energy tips and formula breakdowns.
Smart Quiz
The numbers change every attempt — practice the method, not the answer
How the Quiz Works
Reinforce what you’ve learned with our Interactive Energy Quiz. Test your ability to solve energy problems similar to those on the FE exam.
Take the quiz to check your accuracy and timing while reviewing detailed explanations for every question.
📝 INTERACTIVE PRACTICE QUIZ
Work, Energy & Power Quiz
Exam-style energy problems with detailed explanations for every question.
Homework Help
Have a challenging energy problem you can’t figure out? Upload it through our Homework Help platform, and one of our expert FE exam tutors will provide a clear, step-by-step solution with reasoning.
One-on-One Tutoring
Need extra support? Book a one-on-one tutoring session focused on how to solve energy problems, customized to your strengths and weak areas. Our FE exam specialists help you practice and improve problem-solving strategies.
Discussion Boards
Discuss tough energy questions, share problem-solving tips, and get advice from other FE exam candidates in our Energy Discussion Board.
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