Can you manipulate any formula in Physics?

In summary, algebra can be used to manipulate equations in physics, but it is important to know when a formula applies and when it does not. This prevents combining incorrect equations and obtaining incorrect results.
  • #1
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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  • #2
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.
 

What is the process for manipulating a formula in Physics?

The process for manipulating a formula in Physics involves identifying the variables and constants in the formula, determining the relationships between them, and using algebraic operations to rearrange the formula to solve for the desired variable.

Can any formula in Physics be manipulated?

Yes, any formula in Physics can be manipulated as long as it follows the rules of algebra. This allows for the solving of equations, determining relationships between variables, and predicting outcomes.

What are the benefits of manipulating formulas in Physics?

The benefits of manipulating formulas in Physics include being able to solve complex equations, understanding relationships between variables, and making predictions about the behavior of physical systems.

What are some common techniques for manipulating formulas in Physics?

Some common techniques for manipulating formulas in Physics include using the commutative, associative, and distributive properties of algebra, simplifying expressions, and isolating variables.

What precautions should be taken when manipulating formulas in Physics?

When manipulating formulas in Physics, it is important to keep track of units and dimensions, double check calculations, and understand the limitations of the formula and the assumptions it makes.

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