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

Q1:

If relativistic effects are to modify time and length values by less than 1%, then the Lorentz factor must be less than 1.01. At what relative velocity is ?β¨

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 ?

A

B

C

D

E

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 teravolt?

A

B

C

D

E

Q7:

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

A

B

C

D

E

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.

A

B

C

D

E

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