In this worksheet, we will practice using Lorentz transformation to relate the distance and time measurements of observers in relative motion.

**Q2: **

What is the Lorentz factor produced by a relative velocity of ?

**Q3: **

What is the Lorentz factor produced by a relative velocity of ?

**Q4: **

At what relative velocity is the Lorentz factor ?

**Q5: **

At what relative velocity is the Lorentz factor ?

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**Q6: **

What is the Lorentz factor for a proton having a mass energy of 938.3 MeV accelerated through an effective potential of 1.00 teravolts?

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**Q7: **

If relativistic effects are to be less than , then must be less than 1.04. At what velocity is ?

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**Q8: **

An object initially moves at and then, sometime later, it moves at .

What is the Lorentz factor when ?

What is the Lorentz factor when ?

**Q9: **

A proton has a momentum of kgβ m/s.

Calculate for the proton.

Calculate the protonβs speed.

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