Problem-solving in physics often requires a systematic approach to break down complex scenarios into manageable tasks. Here is a step-by-step process for solving problems in physics: Model > Analyze > Solve > Evaluate. This isn't a one-size-fits-all method to solve physics problems, but the acronym MASE helps anchor us. The more problems you work on, the more intuitive and efficient you'll become at solving physics problems. Developing this skill necessitates consistent practice and is most effectively cultivated through collaborative efforts and mastering mathematical abilities.
Carefully read the problem statement underlining key data and assumptions.
Model the physical situation, usually by drawing a systems diagram and conceptual models
Identify knowns and unknowns with their appropriate units.
Label the sketch with relevant information
Analyze which principles or laws (like Newton’s laws, conservation of energy, etc.) are relevant to the problem.
Identify mathematical relationships
Plan a logical sequence of steps to get from what you know to what you want to find.
Manipulate equations to isolate unknowns
Substitute the known values into the relevant equations.
Carry out the mathematical operations keeping units consistent.
Pay attention to significant figures and rounding.
Translate your mathematical results back into the context of the original problem. Consider what the results mean in a physical sense. For example, if you find that an object has a negative acceleration, it may mean that it is slowing down.
Ensure that the answer is reasonable in the context of the problem. For instance, you wouldn’t expect an object’s mass to be negative or its speed to exceed the speed of light in a typical setting.
Verify that the units of your answer are appropriate for what is being asked.
Collaborative problem solving is a valuable skill for sense making as each of us have unique strengths. Three is the perfect group size. Here are some tips to get started.
Define roles and rotate: Assign specific roles like note-taker or equation finder, and switch them periodically for a balanced experience.
Practice active listening: Make sure to listen to others without interrupting. Understanding their thought process can lead to more cohesive and efficient problem solving.
Use visual tools: Use whiteboards or collaborative software to map out problems and solutions visually.
Pool resources: Different team members might have different textbooks, online resources, or tools they find useful. Share and explore these resources together.
Stay patient and positive: Not every problem will be solved on the first (or second, or third) attempt. Patience and perseverance are key.
Divide and conquer: Divide complex problems into smaller tasks. Tackle individually, then regroup to piece the solutions together.
Review as a Team: After finding a solution, review collectively to catch and correct any errors or oversight. If someone doesn't understand a concept, take the time to explain. Teaching reinforces your own understanding, and everyone benefits when the whole group understands the material.
Celebrate Small Wins: Physics problems can be challenging. Celebrate the little victories along the way to keep morale high.
Continuous Feedback and Adaptation: After sessions, discuss what went well and what could be improved, and adjust accordingly for future collaborations.