Can you manipulate any formula in Physics?

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SUMMARY

In physics, equations can be manipulated using algebra and calculus, allowing for the rearrangement of formulas to solve for different variables, such as mass. However, it is crucial to understand the context and applicability of each formula to avoid incorrect combinations. For instance, substituting voltage for velocity is a common mistake due to the shared symbol 'v'. Mastery of these concepts ensures accurate problem-solving in physics.

PREREQUISITES
  • Basic understanding of algebra and calculus
  • Familiarity with fundamental physics equations
  • Knowledge of variable representation in physics
  • Ability to identify applicable formulas in different scenarios
NEXT STEPS
  • Study the principles of dimensional analysis in physics
  • Learn about the specific applications of Newton's laws
  • Explore the implications of manipulating the ideal gas law
  • Investigate common mistakes in variable substitution in physics equations
USEFUL FOR

This discussion is beneficial for students beginning their physics education, educators teaching physics concepts, and anyone interested in understanding the manipulation of physical equations for problem-solving.

michellemw
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Just started an intro to physics course and I noticed a lot of the equations are just manipulated (by algebra) versions of each other. Can you do this with all equations in physics or do some have restrictions? I'm asking because if I'm asked to find say the mass of something can I rearrange the formulas to solve for mass, or is there specific formulas to calculate each thing?
 
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Hi michellemw, welcome to PF!

You can always use algebra and calculus or other mathematical techniques to manipulate physics equations.

However, it is very important to know when a formula applies and when it does not, so that you don't accidentally combine two equations which do not apply together. An obvious example would be substituting a voltage in for a velocity simply because they both use the symbol v, but there can be subtle examples also.
 

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