A particle has a momentum equal to \(m c .\) Calculate its speed.

Short Answer

Expert verified
The speed of the particle is equal to \(c\).

Step by step solution

01

Understand the problem

The momentum of a particle is given as \(p = m c\), where \(c\) could represent a constant or some speed of light. With the momentum formula \(p = m v\), equating both expressions will provide the speed of the particle. This step is important as it gives the direction of how to get from the given information to the needed information - the speed.
02

Equate both equations

Setting the two given formulas equal to each other gives us \(m v = m c\). This step involves the basic concept that if two quantities are each equal to a third quantity, then they are equal to each other.
03

Solve for speed

Solving the equation for speed gives \(v = c\). This step involves dividing both sides of the equation by \(m\) to isolate \(v\). As both equations had \(m\), this cancels out and we are left with the speed of particle equals \(c\).

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